42
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 · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

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Page 1:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

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-28sshy

~Lt~ ~ 6(+)= Aoe t Cc~ B = ~~ llc)t Jgtatuc llaquo

~ amp~tk ~ l~r ~ t41h ( - l4gtb -t (~ )

~A(1) ~ -l-b)= 1- (Atgte + ~I) a j~oll +-1c ll 4shy

+U~1e~ ~J

lt~-6li-)~1Ctraquo= ~ (Ao]~ + A~i)= 1z te[6~o(~ ~ (szlig84)

j ~~ tA~~k $ ~ 1ou~~ tlr+ ltlttJ L~g3) lUuA tkt ~~~~ (B-i2$)

D~ ~ ~ ~ (1J~~ ~~ ~~~~ tulttl ~~~~ J -amp =4(g1~) be ~~~~~ ~~ - UMOl ~l-~~1 ~~~ ~~~gtor~J_V~~ ~ ~ ~ Uampamp) ~D u4 (38middot4 ~~ ~8q-)middotEo2 hesshytL~~~ ~c~q~U- tiSs ~ ~N~L ~

lq- = Ae~bttle~~(~lou~l-- ~tu(~W)

Jn amp~IIA ~~

(~~)

~uJ6- ~ ~ Wu~~ltLtS~U ~ ~144 ~~ ~~

~~s tl( k S~4 ~ - ~~~4-

-D~ rv~ ~ ~ ~ 6--12~~ ~ tuut ~ lgt~tS4L~_ ~ ~~ 1UM~ ~~kd 4-gt Lttt- ampu x-~ (~10

-284shy

use == ( 11 e )

~ r= L~uampCM4) ~~~celk~) )

sect = LLampsl -I ~tgt O bull

tt Gt2 -z- Ob~s- J( lCZ4-CUt-z (~~lt~) ltS = T s (Z- J

LS~lO)

~ ~ j~ ~3k ~~-tt4 Jgt~ oucuJeA1A~~L ~)~~1s~ llaquoUshy~tI~~~lUUlt~ ~-t4- ir~GG l4tG-

~J3 ~~uuo~~ktk ~~ qamptlt~~~ ~

lJuu sktLL~ ~~~ cLl ~~ au~ ~ WeJ1t ~ eUA~ cll~ ~ ~ (~44~~) ~ e~ (Jgtrh~~ ~j) Aeo ~~~ ~tlgt~ ~ ~ ~~ ~~~ ~ ~~ ~~~h~ Gttt ~ ~~

-28Sshy

t lJli u amplk M~~u -eurol~ Ud- ~ ~ (J~~_ tutuuml~u

2

1~~~ ~Vt--~J~~ ~~ ~J ~~ lM ~~~~ ~-A~ ~~ t4 tW ~~ ~-eu~ ~~ ~ ltl )euroJtf4~ ~ ~ ~~S~ ~~~~ ~ ~~ ~ ~~ ~ ~ ~ CiIJ4 ~ ~~~_ ~ ~ ~~ [~9+) ~ ~~s~~a-~ ~CU1~1gttt~ ~ ~~(q~)

~~ ~-Pamp-chh~ ~J ~

A ko~k ~ ~lta~k ~~

1UM amptsbA~ ~ (3qi-) (e)ampttu~ ~~) igt~ ~_ ~ UkW-~ s~~~ ~ ~ $b-ec-tp-s~ ~~_ ~~~~~~~)tk~ lU4~~~~ ~e ~~~~

-1gt0- ~~~~tV~H- Wt4rt s1u~ ~ l~1 ~b~ ~~~~ ~ l~j hl ~~ ~c)l~s~ a k ~~~~~~ Des- Wu~szligJl~tt W seL- ~_ SAAe~ ~ qct~ ~ t raquo1 lJ~ ~u ~~ ~ ~ ~= lt( (5) ~) ~ g~~~~ ~ tt1shy

q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~

Jt Cf = 2 kamp4 8-2 (~liF )

~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __

u~luQ ~ ~ ~~~ cctgtgt -t ~ q~ ~ ~~ V~~~ szlig--lt ~ -V A ~a U-amp ~e-t qfh

~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~

NluA ~~ ~ ttl1 ltlt -i ~ ecfgt~L~~k~ eA4middot)(j k (31)) ~~~ -1 CMAt( 4 td ~~ ~ ~ ~kltal~

-2~1-shy

~ ~ ~ e ~ 8Mze Qltt~( a ~c~

+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L

~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z

jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~

a -L) 1- ~ (S9) ~~~ ~t-~ qOt~gt ~J cte amplt~~~~~ ~~ se~ ~Let~~ CJak-bD ~ ~tiAQJampA ~kl4szlig ~ ~--4~ Ja ~fM)-~ ~4 ~~~ ~uiszlig ~~ ~~N~~~~ UMJ1 ~ ~Jamp~

~~~ (3I1~O) ~ ~ ~L

kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull

~ tJ~sampL- ~ s~M~~ ~~ ~ ~~ dJ2J ~~ ~ub~l

~ ~ amp~~~It ~~ ~)~ ~ ~ A~ L~ ~-~~)

-4~amp ~ 14 llo 2 C~ szlig)

~ t)O ~= ~(Ulteuro ampa l~~1t4 k -1-~~ JUM1lAgtr snL eJ lJ[Ql ~

sc A 2~13 t (~V) lamp9middot ~

-288shy

~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

lJ~ (Y1-) ~U

~ kk~ ~ l S~loko-~t~ ) ic)~ 40 ~ ~ ~ --pea~ ~ ltMlf4 Se wc~- -J X t )d1-t J1 ~ ~a~~~~~~~ ~ lt9--b~ ~lJ 13shy~amp~

r l ~ l~x 2 ~ ~ ~) = j - -e ~ v(~) - - )le- ) Jx _ JXz (58l6) -11

tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

-283shy

~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~

L~sHKP )

~ 1=2(1) = - l~ -7~

f4l~ ~Ule-L ~ Lwlamp ~~~~ uuJ ~(c)gtgtAlbek~

~~~ Ck4w~l~ ~~) ~J 4ktJ ampIv l)u-~~ltU~~u ~~i ~ ~ ~~ 3 ~~ ~k~_copyu(Ut~U- (-D~~ ~ ~~~~ ~UM~ ampv k~~~~~ ffil~~~ ~ juampe~ ~ ~~=l ~ ~~~~ ~ lL~ ~ 1--rlMU~~LI C~aA~) a4~~ a) igt~ Lb4~S~M~b~~~ F ~ ak~ t(l

w ~~ ) = r WLxA) gt gt ~-) T ~~ (39-2ii ~ J~ -J

Q~ k~~~ ~ ~wal~~ c~~ ~

w~J L~L~j) = w Ul ) AI~ ~ ~) -- ~~ C~~J~J ) bull (Sq~

~~~~~

~ ~~tLUM~ ~ ~~ bbeu1~sk~ fd

~~ ampv ~k ~ (~9s) tlwi ~louml4~ tJIb ~~~=t- tQ ~~~~~ (~Ys) ~fl ~ k ~1 ~ ~ tlitek- Ll4gtb a4) fetwu-- ~fl- ~ ~ S~ ~JUtfl-~~~-i) ~ ~ ~ ~~ (h~

~-W~SkL J fuumllu-~ da~) ~ ~ ~ k ~~k We1k ~ h ~~~ Lv ~~ ~~ ~L_ ~~ot

~~ ~W~ ~szligaA ~ ~k- k4 ~ ck ttJ ~f~ louml ~~-) ~ ~ ~ ~~ ~~f(-t-~K~ ) ~~ ~1 ~ ~ 1t) ~

2 2

~Cl-)2--= l ~ ~ L~~ f

~gt J

~~~ ~ga~~ lMaM ~~ ~ ~ks-ue~~ j)~ ~~~ Au-~ ~ ~

-25-shy

~LIO = lt2- ~~~C~-)l ) j-

~ ~ ~~~~ ukQ-l t()

r 3 ~ ~ lt~gtt~ = J e 28 ()(-~~) WLx~)_ Xi) T dxshy

- p

2shy

= ~ ~ WjlKJ (~t ~~~

J~ fu- A ~-t~ ~~k~ 1lt1- ~~ ~ ~~~~L k-~~~ ~ tulk~ ~lIlaquo1k-e~ (L-ra4- LZ-)

~ dRs- J~~~~ (~=() ~ ~ (59~A) u-~ (3CjZ)

W-0 )= ~ uuJ ~~ ~ ~ ~~ ~~ laeshy~tuL

(l~ (~) 2~~ -iQ J ~ ilS2 ~

~~ ~~QMM- ~~tt ~ Ge- ~h

~ +d(~) = 0 Li t-

amplt~k~~ ~ ~ ~o ~ ~ ~ ~U1~ft~ t=L~)Z ~ (3IJ 1-) luAJ 1=e L~)2- ~ (3Cj~(raquo) JM bf~ 11~ 2=

11 f f

~ ~

~ampI

f t ~ ~~

t~ ~

rt cl

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f

f middot~

Kf

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eurogt rtf

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t s

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11

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tgt I

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D

v ~J

Y -

f i

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sect

~

r f

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r f

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V ~

f

19 f r-

t

11fJ

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f~

r l

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f ~

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l

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ft t

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-ri

Nro

1

fJe ~ ~

amp

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- (

t1

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f

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f t

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lf f

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f

rshy

bull ampC

v

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f ~-

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tmiddot

~ttf

f~

f ~

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f f ~~ ~

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middot J5

tJ 5

~ ~f

oumlF

ap~r~

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jtf

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ff~~~ ~ r

fr-e~

~f~

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5r

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b ~ r ~

~

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r-

fi~f

f~f

j

W

f~t

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c

I

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f f

- zcg-3shy

~~ Ltu~ ~ C0u~tgt~i ~ ~ ~~~~ ~~~ (j)~~ ~~ ~amp

UJ ~UM3 ~ 4At ll4 Sl-BuJ~J~ ~ ~ ktyt

Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

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UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

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sA~~ ~

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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

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6b = 0

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L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

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V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

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)(

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2 2shy

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

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L

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

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j

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L I

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- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

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~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 2:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-28sshy

~Lt~ ~ 6(+)= Aoe t Cc~ B = ~~ llc)t Jgtatuc llaquo

~ amp~tk ~ l~r ~ t41h ( - l4gtb -t (~ )

~A(1) ~ -l-b)= 1- (Atgte + ~I) a j~oll +-1c ll 4shy

+U~1e~ ~J

lt~-6li-)~1Ctraquo= ~ (Ao]~ + A~i)= 1z te[6~o(~ ~ (szlig84)

j ~~ tA~~k $ ~ 1ou~~ tlr+ ltlttJ L~g3) lUuA tkt ~~~~ (B-i2$)

D~ ~ ~ ~ (1J~~ ~~ ~~~~ tulttl ~~~~ J -amp =4(g1~) be ~~~~~ ~~ - UMOl ~l-~~1 ~~~ ~~~gtor~J_V~~ ~ ~ ~ Uampamp) ~D u4 (38middot4 ~~ ~8q-)middotEo2 hesshytL~~~ ~c~q~U- tiSs ~ ~N~L ~

lq- = Ae~bttle~~(~lou~l-- ~tu(~W)

Jn amp~IIA ~~

(~~)

~uJ6- ~ ~ Wu~~ltLtS~U ~ ~144 ~~ ~~

~~s tl( k S~4 ~ - ~~~4-

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-284shy

use == ( 11 e )

~ r= L~uampCM4) ~~~celk~) )

sect = LLampsl -I ~tgt O bull

tt Gt2 -z- Ob~s- J( lCZ4-CUt-z (~~lt~) ltS = T s (Z- J

LS~lO)

~ ~ j~ ~3k ~~-tt4 Jgt~ oucuJeA1A~~L ~)~~1s~ llaquoUshy~tI~~~lUUlt~ ~-t4- ir~GG l4tG-

~J3 ~~uuo~~ktk ~~ qamptlt~~~ ~

lJuu sktLL~ ~~~ cLl ~~ au~ ~ WeJ1t ~ eUA~ cll~ ~ ~ (~44~~) ~ e~ (Jgtrh~~ ~j) Aeo ~~~ ~tlgt~ ~ ~ ~~ ~~~ ~ ~~ ~~~h~ Gttt ~ ~~

-28Sshy

t lJli u amplk M~~u -eurol~ Ud- ~ ~ (J~~_ tutuuml~u

2

1~~~ ~Vt--~J~~ ~~ ~J ~~ lM ~~~~ ~-A~ ~~ t4 tW ~~ ~-eu~ ~~ ~ ltl )euroJtf4~ ~ ~ ~~S~ ~~~~ ~ ~~ ~ ~~ ~ ~ ~ CiIJ4 ~ ~~~_ ~ ~ ~~ [~9+) ~ ~~s~~a-~ ~CU1~1gttt~ ~ ~~(q~)

~~ ~-Pamp-chh~ ~J ~

A ko~k ~ ~lta~k ~~

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q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~

Jt Cf = 2 kamp4 8-2 (~liF )

~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __

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-2~1-shy

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+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L

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jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~

a -L) 1- ~ (S9) ~~~ ~t-~ qOt~gt ~J cte amplt~~~~~ ~~ se~ ~Let~~ CJak-bD ~ ~tiAQJampA ~kl4szlig ~ ~--4~ Ja ~fM)-~ ~4 ~~~ ~uiszlig ~~ ~~N~~~~ UMJ1 ~ ~Jamp~

~~~ (3I1~O) ~ ~ ~L

kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull

~ tJ~sampL- ~ s~M~~ ~~ ~ ~~ dJ2J ~~ ~ub~l

~ ~ amp~~~It ~~ ~)~ ~ ~ A~ L~ ~-~~)

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sc A 2~13 t (~V) lamp9middot ~

-288shy

~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

lJ~ (Y1-) ~U

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r l ~ l~x 2 ~ ~ ~) = j - -e ~ v(~) - - )le- ) Jx _ JXz (58l6) -11

tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

-283shy

~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~

L~sHKP )

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w ~~ ) = r WLxA) gt gt ~-) T ~~ (39-2ii ~ J~ -J

Q~ k~~~ ~ ~wal~~ c~~ ~

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~~~~~

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2 2

~Cl-)2--= l ~ ~ L~~ f

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~LIO = lt2- ~~~C~-)l ) j-

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r 3 ~ ~ lt~gtt~ = J e 28 ()(-~~) WLx~)_ Xi) T dxshy

- p

2shy

= ~ ~ WjlKJ (~t ~~~

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~ dRs- J~~~~ (~=() ~ ~ (59~A) u-~ (3CjZ)

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fr-e~

~f~

t-~ ~

~

5r

~ lt

b ~ r ~

~

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r-

fi~f

f~f

j

W

f~t

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c

I

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f f

- zcg-3shy

~~ Ltu~ ~ C0u~tgt~i ~ ~ ~~~~ ~~~ (j)~~ ~~ ~amp

UJ ~UM3 ~ 4At ll4 Sl-BuJ~J~ ~ ~ ktyt

Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

~V

rJ fr ~

l i

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f$l

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c

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f (

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1+

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-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 3:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-284shy

use == ( 11 e )

~ r= L~uampCM4) ~~~celk~) )

sect = LLampsl -I ~tgt O bull

tt Gt2 -z- Ob~s- J( lCZ4-CUt-z (~~lt~) ltS = T s (Z- J

LS~lO)

~ ~ j~ ~3k ~~-tt4 Jgt~ oucuJeA1A~~L ~)~~1s~ llaquoUshy~tI~~~lUUlt~ ~-t4- ir~GG l4tG-

~J3 ~~uuo~~ktk ~~ qamptlt~~~ ~

lJuu sktLL~ ~~~ cLl ~~ au~ ~ WeJ1t ~ eUA~ cll~ ~ ~ (~44~~) ~ e~ (Jgtrh~~ ~j) Aeo ~~~ ~tlgt~ ~ ~ ~~ ~~~ ~ ~~ ~~~h~ Gttt ~ ~~

-28Sshy

t lJli u amplk M~~u -eurol~ Ud- ~ ~ (J~~_ tutuuml~u

2

1~~~ ~Vt--~J~~ ~~ ~J ~~ lM ~~~~ ~-A~ ~~ t4 tW ~~ ~-eu~ ~~ ~ ltl )euroJtf4~ ~ ~ ~~S~ ~~~~ ~ ~~ ~ ~~ ~ ~ ~ CiIJ4 ~ ~~~_ ~ ~ ~~ [~9+) ~ ~~s~~a-~ ~CU1~1gttt~ ~ ~~(q~)

~~ ~-Pamp-chh~ ~J ~

A ko~k ~ ~lta~k ~~

1UM amptsbA~ ~ (3qi-) (e)ampttu~ ~~) igt~ ~_ ~ UkW-~ s~~~ ~ ~ $b-ec-tp-s~ ~~_ ~~~~~~~)tk~ lU4~~~~ ~e ~~~~

-1gt0- ~~~~tV~H- Wt4rt s1u~ ~ l~1 ~b~ ~~~~ ~ l~j hl ~~ ~c)l~s~ a k ~~~~~~ Des- Wu~szligJl~tt W seL- ~_ SAAe~ ~ qct~ ~ t raquo1 lJ~ ~u ~~ ~ ~ ~= lt( (5) ~) ~ g~~~~ ~ tt1shy

q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~

Jt Cf = 2 kamp4 8-2 (~liF )

~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __

u~luQ ~ ~ ~~~ cctgtgt -t ~ q~ ~ ~~ V~~~ szlig--lt ~ -V A ~a U-amp ~e-t qfh

~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~

NluA ~~ ~ ttl1 ltlt -i ~ ecfgt~L~~k~ eA4middot)(j k (31)) ~~~ -1 CMAt( 4 td ~~ ~ ~ ~kltal~

-2~1-shy

~ ~ ~ e ~ 8Mze Qltt~( a ~c~

+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L

~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z

jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~

a -L) 1- ~ (S9) ~~~ ~t-~ qOt~gt ~J cte amplt~~~~~ ~~ se~ ~Let~~ CJak-bD ~ ~tiAQJampA ~kl4szlig ~ ~--4~ Ja ~fM)-~ ~4 ~~~ ~uiszlig ~~ ~~N~~~~ UMJ1 ~ ~Jamp~

~~~ (3I1~O) ~ ~ ~L

kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull

~ tJ~sampL- ~ s~M~~ ~~ ~ ~~ dJ2J ~~ ~ub~l

~ ~ amp~~~It ~~ ~)~ ~ ~ A~ L~ ~-~~)

-4~amp ~ 14 llo 2 C~ szlig)

~ t)O ~= ~(Ulteuro ampa l~~1t4 k -1-~~ JUM1lAgtr snL eJ lJ[Ql ~

sc A 2~13 t (~V) lamp9middot ~

-288shy

~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

lJ~ (Y1-) ~U

~ kk~ ~ l S~loko-~t~ ) ic)~ 40 ~ ~ ~ --pea~ ~ ltMlf4 Se wc~- -J X t )d1-t J1 ~ ~a~~~~~~~ ~ lt9--b~ ~lJ 13shy~amp~

r l ~ l~x 2 ~ ~ ~) = j - -e ~ v(~) - - )le- ) Jx _ JXz (58l6) -11

tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

-283shy

~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~

L~sHKP )

~ 1=2(1) = - l~ -7~

f4l~ ~Ule-L ~ Lwlamp ~~~~ uuJ ~(c)gtgtAlbek~

~~~ Ck4w~l~ ~~) ~J 4ktJ ampIv l)u-~~ltU~~u ~~i ~ ~ ~~ 3 ~~ ~k~_copyu(Ut~U- (-D~~ ~ ~~~~ ~UM~ ampv k~~~~~ ffil~~~ ~ juampe~ ~ ~~=l ~ ~~~~ ~ lL~ ~ 1--rlMU~~LI C~aA~) a4~~ a) igt~ Lb4~S~M~b~~~ F ~ ak~ t(l

w ~~ ) = r WLxA) gt gt ~-) T ~~ (39-2ii ~ J~ -J

Q~ k~~~ ~ ~wal~~ c~~ ~

w~J L~L~j) = w Ul ) AI~ ~ ~) -- ~~ C~~J~J ) bull (Sq~

~~~~~

~ ~~tLUM~ ~ ~~ bbeu1~sk~ fd

~~ ampv ~k ~ (~9s) tlwi ~louml4~ tJIb ~~~=t- tQ ~~~~~ (~Ys) ~fl ~ k ~1 ~ ~ tlitek- Ll4gtb a4) fetwu-- ~fl- ~ ~ S~ ~JUtfl-~~~-i) ~ ~ ~ ~~ (h~

~-W~SkL J fuumllu-~ da~) ~ ~ ~ k ~~k We1k ~ h ~~~ Lv ~~ ~~ ~L_ ~~ot

~~ ~W~ ~szligaA ~ ~k- k4 ~ ck ttJ ~f~ louml ~~-) ~ ~ ~ ~~ ~~f(-t-~K~ ) ~~ ~1 ~ ~ 1t) ~

2 2

~Cl-)2--= l ~ ~ L~~ f

~gt J

~~~ ~ga~~ lMaM ~~ ~ ~ks-ue~~ j)~ ~~~ Au-~ ~ ~

-25-shy

~LIO = lt2- ~~~C~-)l ) j-

~ ~ ~~~~ ukQ-l t()

r 3 ~ ~ lt~gtt~ = J e 28 ()(-~~) WLx~)_ Xi) T dxshy

- p

2shy

= ~ ~ WjlKJ (~t ~~~

J~ fu- A ~-t~ ~~k~ 1lt1- ~~ ~ ~~~~L k-~~~ ~ tulk~ ~lIlaquo1k-e~ (L-ra4- LZ-)

~ dRs- J~~~~ (~=() ~ ~ (59~A) u-~ (3CjZ)

W-0 )= ~ uuJ ~~ ~ ~ ~~ ~~ laeshy~tuL

(l~ (~) 2~~ -iQ J ~ ilS2 ~

~~ ~~QMM- ~~tt ~ Ge- ~h

~ +d(~) = 0 Li t-

amplt~k~~ ~ ~ ~o ~ ~ ~ ~U1~ft~ t=L~)Z ~ (3IJ 1-) luAJ 1=e L~)2- ~ (3Cj~(raquo) JM bf~ 11~ 2=

11 f f

~ ~

~ampI

f t ~ ~~

t~ ~

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- zcg-3shy

~~ Ltu~ ~ C0u~tgt~i ~ ~ ~~~~ ~~~ (j)~~ ~~ ~amp

UJ ~UM3 ~ 4At ll4 Sl-BuJ~J~ ~ ~ ktyt

Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

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2 2shy

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

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~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 4:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-28Sshy

t lJli u amplk M~~u -eurol~ Ud- ~ ~ (J~~_ tutuuml~u

2

1~~~ ~Vt--~J~~ ~~ ~J ~~ lM ~~~~ ~-A~ ~~ t4 tW ~~ ~-eu~ ~~ ~ ltl )euroJtf4~ ~ ~ ~~S~ ~~~~ ~ ~~ ~ ~~ ~ ~ ~ CiIJ4 ~ ~~~_ ~ ~ ~~ [~9+) ~ ~~s~~a-~ ~CU1~1gttt~ ~ ~~(q~)

~~ ~-Pamp-chh~ ~J ~

A ko~k ~ ~lta~k ~~

1UM amptsbA~ ~ (3qi-) (e)ampttu~ ~~) igt~ ~_ ~ UkW-~ s~~~ ~ ~ $b-ec-tp-s~ ~~_ ~~~~~~~)tk~ lU4~~~~ ~e ~~~~

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q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~

Jt Cf = 2 kamp4 8-2 (~liF )

~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __

u~luQ ~ ~ ~~~ cctgtgt -t ~ q~ ~ ~~ V~~~ szlig--lt ~ -V A ~a U-amp ~e-t qfh

~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~

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-2~1-shy

~ ~ ~ e ~ 8Mze Qltt~( a ~c~

+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L

~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z

jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~

a -L) 1- ~ (S9) ~~~ ~t-~ qOt~gt ~J cte amplt~~~~~ ~~ se~ ~Let~~ CJak-bD ~ ~tiAQJampA ~kl4szlig ~ ~--4~ Ja ~fM)-~ ~4 ~~~ ~uiszlig ~~ ~~N~~~~ UMJ1 ~ ~Jamp~

~~~ (3I1~O) ~ ~ ~L

kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull

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sc A 2~13 t (~V) lamp9middot ~

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~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

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tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

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2 2

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AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

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1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

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I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

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-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

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1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

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d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

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= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

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1laquo ~ ~~~U-~lUtS- ~~

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ds2 ( 1f2 c) () - - J AAoAA

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~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 5:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

1~~~ ~Vt--~J~~ ~~ ~J ~~ lM ~~~~ ~-A~ ~~ t4 tW ~~ ~-eu~ ~~ ~ ltl )euroJtf4~ ~ ~ ~~S~ ~~~~ ~ ~~ ~ ~~ ~ ~ ~ CiIJ4 ~ ~~~_ ~ ~ ~~ [~9+) ~ ~~s~~a-~ ~CU1~1gttt~ ~ ~~(q~)

~~ ~-Pamp-chh~ ~J ~

A ko~k ~ ~lta~k ~~

1UM amptsbA~ ~ (3qi-) (e)ampttu~ ~~) igt~ ~_ ~ UkW-~ s~~~ ~ ~ $b-ec-tp-s~ ~~_ ~~~~~~~)tk~ lU4~~~~ ~e ~~~~

-1gt0- ~~~~tV~H- Wt4rt s1u~ ~ l~1 ~b~ ~~~~ ~ l~j hl ~~ ~c)l~s~ a k ~~~~~~ Des- Wu~szligJl~tt W seL- ~_ SAAe~ ~ qct~ ~ t raquo1 lJ~ ~u ~~ ~ ~ ~= lt( (5) ~) ~ g~~~~ ~ tt1shy

q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~

Jt Cf = 2 kamp4 8-2 (~liF )

~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __

u~luQ ~ ~ ~~~ cctgtgt -t ~ q~ ~ ~~ V~~~ szlig--lt ~ -V A ~a U-amp ~e-t qfh

~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~

NluA ~~ ~ ttl1 ltlt -i ~ ecfgt~L~~k~ eA4middot)(j k (31)) ~~~ -1 CMAt( 4 td ~~ ~ ~ ~kltal~

-2~1-shy

~ ~ ~ e ~ 8Mze Qltt~( a ~c~

+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L

~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z

jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~

a -L) 1- ~ (S9) ~~~ ~t-~ qOt~gt ~J cte amplt~~~~~ ~~ se~ ~Let~~ CJak-bD ~ ~tiAQJampA ~kl4szlig ~ ~--4~ Ja ~fM)-~ ~4 ~~~ ~uiszlig ~~ ~~N~~~~ UMJ1 ~ ~Jamp~

~~~ (3I1~O) ~ ~ ~L

kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull

~ tJ~sampL- ~ s~M~~ ~~ ~ ~~ dJ2J ~~ ~ub~l

~ ~ amp~~~It ~~ ~)~ ~ ~ A~ L~ ~-~~)

-4~amp ~ 14 llo 2 C~ szlig)

~ t)O ~= ~(Ulteuro ampa l~~1t4 k -1-~~ JUM1lAgtr snL eJ lJ[Ql ~

sc A 2~13 t (~V) lamp9middot ~

-288shy

~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

lJ~ (Y1-) ~U

~ kk~ ~ l S~loko-~t~ ) ic)~ 40 ~ ~ ~ --pea~ ~ ltMlf4 Se wc~- -J X t )d1-t J1 ~ ~a~~~~~~~ ~ lt9--b~ ~lJ 13shy~amp~

r l ~ l~x 2 ~ ~ ~) = j - -e ~ v(~) - - )le- ) Jx _ JXz (58l6) -11

tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

-283shy

~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~

L~sHKP )

~ 1=2(1) = - l~ -7~

f4l~ ~Ule-L ~ Lwlamp ~~~~ uuJ ~(c)gtgtAlbek~

~~~ Ck4w~l~ ~~) ~J 4ktJ ampIv l)u-~~ltU~~u ~~i ~ ~ ~~ 3 ~~ ~k~_copyu(Ut~U- (-D~~ ~ ~~~~ ~UM~ ampv k~~~~~ ffil~~~ ~ juampe~ ~ ~~=l ~ ~~~~ ~ lL~ ~ 1--rlMU~~LI C~aA~) a4~~ a) igt~ Lb4~S~M~b~~~ F ~ ak~ t(l

w ~~ ) = r WLxA) gt gt ~-) T ~~ (39-2ii ~ J~ -J

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2 2

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~gt J

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~ dRs- J~~~~ (~=() ~ ~ (59~A) u-~ (3CjZ)

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1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

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fR =-~ ~

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I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

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1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

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~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

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6b = 0

II11 I t

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~

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l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

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(+I26)

)

S ~~~~

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01 =- )( ~ ~ =- ~ 1lt

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 6:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-2~1-shy

~ ~ ~ e ~ 8Mze Qltt~( a ~c~

+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L

~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z

jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~

a -L) 1- ~ (S9) ~~~ ~t-~ qOt~gt ~J cte amplt~~~~~ ~~ se~ ~Let~~ CJak-bD ~ ~tiAQJampA ~kl4szlig ~ ~--4~ Ja ~fM)-~ ~4 ~~~ ~uiszlig ~~ ~~N~~~~ UMJ1 ~ ~Jamp~

~~~ (3I1~O) ~ ~ ~L

kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull

~ tJ~sampL- ~ s~M~~ ~~ ~ ~~ dJ2J ~~ ~ub~l

~ ~ amp~~~It ~~ ~)~ ~ ~ A~ L~ ~-~~)

-4~amp ~ 14 llo 2 C~ szlig)

~ t)O ~= ~(Ulteuro ampa l~~1t4 k -1-~~ JUM1lAgtr snL eJ lJ[Ql ~

sc A 2~13 t (~V) lamp9middot ~

-288shy

~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

lJ~ (Y1-) ~U

~ kk~ ~ l S~loko-~t~ ) ic)~ 40 ~ ~ ~ --pea~ ~ ltMlf4 Se wc~- -J X t )d1-t J1 ~ ~a~~~~~~~ ~ lt9--b~ ~lJ 13shy~amp~

r l ~ l~x 2 ~ ~ ~) = j - -e ~ v(~) - - )le- ) Jx _ JXz (58l6) -11

tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

-283shy

~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~

L~sHKP )

~ 1=2(1) = - l~ -7~

f4l~ ~Ule-L ~ Lwlamp ~~~~ uuJ ~(c)gtgtAlbek~

~~~ Ck4w~l~ ~~) ~J 4ktJ ampIv l)u-~~ltU~~u ~~i ~ ~ ~~ 3 ~~ ~k~_copyu(Ut~U- (-D~~ ~ ~~~~ ~UM~ ampv k~~~~~ ffil~~~ ~ juampe~ ~ ~~=l ~ ~~~~ ~ lL~ ~ 1--rlMU~~LI C~aA~) a4~~ a) igt~ Lb4~S~M~b~~~ F ~ ak~ t(l

w ~~ ) = r WLxA) gt gt ~-) T ~~ (39-2ii ~ J~ -J

Q~ k~~~ ~ ~wal~~ c~~ ~

w~J L~L~j) = w Ul ) AI~ ~ ~) -- ~~ C~~J~J ) bull (Sq~

~~~~~

~ ~~tLUM~ ~ ~~ bbeu1~sk~ fd

~~ ampv ~k ~ (~9s) tlwi ~louml4~ tJIb ~~~=t- tQ ~~~~~ (~Ys) ~fl ~ k ~1 ~ ~ tlitek- Ll4gtb a4) fetwu-- ~fl- ~ ~ S~ ~JUtfl-~~~-i) ~ ~ ~ ~~ (h~

~-W~SkL J fuumllu-~ da~) ~ ~ ~ k ~~k We1k ~ h ~~~ Lv ~~ ~~ ~L_ ~~ot

~~ ~W~ ~szligaA ~ ~k- k4 ~ ck ttJ ~f~ louml ~~-) ~ ~ ~ ~~ ~~f(-t-~K~ ) ~~ ~1 ~ ~ 1t) ~

2 2

~Cl-)2--= l ~ ~ L~~ f

~gt J

~~~ ~ga~~ lMaM ~~ ~ ~ks-ue~~ j)~ ~~~ Au-~ ~ ~

-25-shy

~LIO = lt2- ~~~C~-)l ) j-

~ ~ ~~~~ ukQ-l t()

r 3 ~ ~ lt~gtt~ = J e 28 ()(-~~) WLx~)_ Xi) T dxshy

- p

2shy

= ~ ~ WjlKJ (~t ~~~

J~ fu- A ~-t~ ~~k~ 1lt1- ~~ ~ ~~~~L k-~~~ ~ tulk~ ~lIlaquo1k-e~ (L-ra4- LZ-)

~ dRs- J~~~~ (~=() ~ ~ (59~A) u-~ (3CjZ)

W-0 )= ~ uuJ ~~ ~ ~ ~~ ~~ laeshy~tuL

(l~ (~) 2~~ -iQ J ~ ilS2 ~

~~ ~~QMM- ~~tt ~ Ge- ~h

~ +d(~) = 0 Li t-

amplt~k~~ ~ ~ ~o ~ ~ ~ ~U1~ft~ t=L~)Z ~ (3IJ 1-) luAJ 1=e L~)2- ~ (3Cj~(raquo) JM bf~ 11~ 2=

11 f f

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UJ ~UM3 ~ 4At ll4 Sl-BuJ~J~ ~ ~ ktyt

Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

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6b = 0

II11 I t

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~

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~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

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--shy -gt ~

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

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UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

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~ tTashy

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L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

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(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

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oll ~ -== XR) ~I =~R

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

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- tsshy

j

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=- ~2 ~ lU(2-JaJ~ = ~l 2B

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

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ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

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~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 7:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-288shy

~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~

lJ~ (Y1-) ~U

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r l ~ l~x 2 ~ ~ ~) = j - -e ~ v(~) - - )le- ) Jx _ JXz (58l6) -11

tJJ4 ~j ~~-S~ ~~k-~~ ~leJ hA ~~ ~~S~ amp ltIlAs~ ij

ampCS = (cr~) Ft~) lSqq)ds2 dS2 ~

t=te) = Z2

Couml~ ~ (szligql~) ~ ~ ~~~ ~~~

i--1-)= 2 +-~-- middotf) tgtcq) )

-283shy

~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~

L~sHKP )

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~~~~~

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2 2

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AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

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d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

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1laquo ~ ~~~U-~lUtS- ~~

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ds2 ( 1f2 c) () - - J AAoAA

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~~~~~~~~~~~~

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~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

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Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

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jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

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~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

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tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

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~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

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lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

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(4(s)

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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

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6b = 0

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~

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~~~ ~~l 5~ AWl (4tS)

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L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

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V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

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UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

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1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

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(+I26)

)

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

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- tsshy

j

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L I

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- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

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lJrj 11

I I~ltI) rJ D

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-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

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L L

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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

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I -=

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l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

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Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

~V

rJ fr ~

l i

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f$l

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tmiddot F ~r~

c

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f

f (

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1+

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f

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C) ~~d ~ ~-S~~ Ouml~lAA-d

-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

~~

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

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( ~middot4)

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()) w~ ~~~~~ Cj~~

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gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

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)(

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2 2shy

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

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- 318-

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

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lJrj 11

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I~~ L I-2Sl-

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E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

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-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

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l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

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--tl~ E - A l() 13 = 0 ) - ~ - )

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b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

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1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

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-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

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~ L4

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

~V

rJ fr ~

l i

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f$l

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tmiddot F ~r~

c

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t

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f

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ff

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f

f (

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a

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1+

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f

r

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f bull

~

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l 0

C) ~~d ~ ~-S~~ Ouml~lAA-d

-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

~~

~

~ I ff f

I

R

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U-r~

r t

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o

amp t L~ f f

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fr

rff

r J~ sect

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1-t

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t [

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tf-l

f f=~

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t i J

11 1 ~

~ ~~~

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f~

l1~

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r f ~

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f

e

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r [r

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I

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 12:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

- zcg-3shy

~~ Ltu~ ~ C0u~tgt~i ~ ~ ~~~~ ~~~ (j)~~ ~~ ~amp

UJ ~UM3 ~ 4At ll4 Sl-BuJ~J~ ~ ~ ktyt

Cli) ~~ ~ ~AJ ~ ~ ~~~~~ ~~ (~4---~~)

AA~~~

h~ t-taxlouml~ -~~~ ~ltM ~ ~~shys~ (f=-t) ~ u M~~ a~~ ~~ SfrOU-ltamp1 J

--tl~ E - A l() 13 = 0 ) - ~ - )

~+- 15 = - 14) e E) - c _

b~ JbAAuml EtlltJ4raquoJ szlig (tO) N kB -b ~~S~w~ T~ ~ lLU~ ~km~~ l-cL

lgt~ eLX4) ~ ~~~(~ -bllt) ~ ~~J~ kt~shy~til- ~~~l- (szlig~ uu~J~ ~ ~~~~~~~

1S=~t- 6 J E =- ~ A_~(p (4-03)

1=tO-~~ )et~ ~ ~ ~~~

bull )

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

~V

rJ fr ~

l i

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f$l

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tmiddot F ~r~

c

~~ ~r

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r

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t

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f

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ff

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f

f (

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1+

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f

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v

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l 0

C) ~~d ~ ~-S~~ Ouml~lAA-d

-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

~~

~

~ I ff f

I

R

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U-r~

r t

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o

amp t L~ f f

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rff

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t [

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f f=~

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rf~

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11 1 ~

~ ~~~

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f~

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r f ~

r~~f

tf

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f

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r [r

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I

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 13:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-294-

EA E ~ ~~ er ~ ~ ~~~ f4l-sa~ehAle Jh Qe~~~ ~~I~~ ~u Lut~ ~ 4eshy~~~~ ~ lI)k (40t4)gtf)~

LA+- ~ e o (~)1 A = 4laquo-~i) -( bull

1~ amp~lM1~ U 4 ceALtamp~ lk3- lb ~ ~ t

C) =- cl J c euro E) = fu (eo E +- 4ct-fgt ) = 20 ( 1 ~ ~ A - Ate)+4lt-thl ~

- e (()2 tpo cZshy

~+~ ~~~ A = ~ - 14) eo Z - c

~~-tM ~ ~ lksq~~ V~ 2 -~

fR =-~ ~

~ Z ~tl WlA LMlmiddotS) 4 ~oj

I (Ll--le-) 2_ = - 4~ ~ ) (409)

(40 l0)

14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))

I~ =-~ ~ 1e~ Z ) E = ~z-- Uv2 (4fgtM)

()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~

= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

~V

rJ fr ~

l i

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f$l

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tmiddot F ~r~

c

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f

f (

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1+

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f

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~

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l 0

C) ~~d ~ ~-S~~ Ouml~lAA-d

-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

~~

~

~ I ff f

I

R

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U-r~

r t

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o

amp t L~ f f

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t [

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f f=~

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~ ~~~

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f~

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r f ~

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tf

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f

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 14:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-29- shy

ll~-amptl~1( ~~~~~euro~ ~ ~k A~klt-b~ ~-~~~~~ ~

l6--~~ ) Gt = 1) (4Egtl2)

Z V C-t+~Z) ~ (~) ~ A bull

~~~~

) (-t-= ~ )

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

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~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

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~ L4

~kk ~~

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t ---

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~ t

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 15:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

k= kmiddot Vl Vi =R lS (40(6)

rrt 1~ ~~~~~ ltud (40M) ~t- h~ ~

(4e9- )

J~~ ~ ~ ~L~~-ouml- e l 4)t ~~ampeA ) ~ ~ ~

1 _ -t- R -d- - c 1(0

~~~ ~~~ 4

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

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1+

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 16:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-291-shy

e tfL ~ k7 t~ - - R D - - bull

D~ ~~~ ~~ rAb~lQ J1JA ~~~ CV~ t1 ~~

szlig ~LlM~ ~~ Q)~

fJ~ -L~ ~hl-~) ~ ~ f1J~~~ ~ ~~_ ~~ fJ~~t~ ~ aJk ~ ~(~~~ ~ S~~s JgtaMM tLu~ au lM l4E) 18) ~ e)(~~~~~ ~ -1 J(J-~~ l-b~~~~) luut lhl ~luamp~

d-I == c k4 t e 1fgt 2 gt

ls2 - 3 lt - J( ) ~ 4tr Aamp shy

(40ZY

amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull

Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )

~ ~jU~ ~~~ 4U- ~ ~~~ ctN ~~ ~~~~~ ~ ~+-~ ~l(4 Q J)t f)~gt ~ ~ tLo~ 4kS 1gt ~~~ 4o~btl4 -j~~~~ t-( Wuh (A~q)

1gt = e --1 a~ ECO) ( A() zs-) -~ ~+~

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

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13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

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~ L4

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t ---

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 17:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-248shy

fj~ E()) JtLd eU~ A~t~ teRJ t(1 ~+ tt1shy

~W~~tr~s~4

a~ = k4ab ~ E-- A ~ l ce( ~Z ) (4t)Z6) _ ctn e+2-I ~ Q ~ 1gt~~Btampti~oeldmiddotamp tkt eM~~ Loetamp l(t

Ms~~ ~

~~ ~~ ~ ~+~~i ~ T~~ ~s46-~ ~J- ~)ltQ= imiddot~t~~~ ~ ~~~~~ ~ ~ gttgt ~~ ~ ~+-uulke ($ L3F4))

lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy

= ~ V ~ cX ~ bull l4ltl21-)

~ ~ V ampM J~~ ~T~~ ~ 0( ~ 1gt~1~~~ ~l-~

-p = V tgt(lV) E(cj)- -

ot = ~ E- _ 3 4v- e-I-2 4laquoshy

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

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-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

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~ L4

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 18:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-2-99 shy

~t~2)2+-Qu ce)~

)J2A MSamptouml~~~s~~ ~ ~ ~ ~~ ~_ f~~ ~ ~

Elt6)L~)

L- ~(~J(-) 1OW1~e JJk

= ~V- ~( L~~ k ) e

tCtA (40Z-2) ~ ~~ k ~c~~U-J

lj)~ LlultQ~ wU ~ ~ l)~ ~amplaquo (4fJ2-) ~ ~ LamprL e~ 2- dto-h ~ ute~ )

1laquo ~ ~~~U-~lUtS- ~~

~ -= J (~4 2- l e Si Z ( e t~)A) I 2

ds2 ( 1f2 c) () - - J AAoAA

-b S~~ au -b~kc~~~ 2871shy

~~~~~~~~~~~~

C~ldafWtfitl~V3

~ ~ ~~~ ~l(A66~ loumlo ~~ ~ ~~ UA ~v~~k J ~~~~~~~~

Cl) NV raquo( Cl T~~~ ~ V ) )

l~t) V~ tA3 l A 4j~~ ) ~()~

~ S~ ~k--(~ t(1 ~ ~rszlig~ hAl ~ ~~ l ~ ~uumlL~~ ~~ (tiM qfjL~~ ~ lM~i- ~ ~~ampb~Jl~_~~-)

Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

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~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

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Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

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t ---

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L I

L I

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- 318-

Q 2tt

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

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lJrj 11

I I~ltI) rJ D

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-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

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L L

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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

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Cu~~~lUt)~~~~ 0~~~ j~CL Uvt~~laquo-- ~

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( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

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V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

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s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

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( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

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()) w~ ~~~~~ Cj~~

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gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

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J

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e=~ bull c

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UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

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(4(s)

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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

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- 3gt09shy

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)(

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2 2shy

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R 2-~

j~ ~~ ~ ~ (4-lt12) ~

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(+I26)

)

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

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- tsshy

j

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L I

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- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

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amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 20:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-sO-ishy

( ~middot4)

54~~~~~

1se~~ ~ ~ k~ls~) td2~ ~ ~ rp~k~Ishy~~ ~6~leL l b~-)

I I~U dxax -~gt - R~I --- - - --- x

F ( clx gt

T~_Q-ampxampX)-=- ~L ~ampx =+(~gt dx amp x V-- ~-t-

V Ar middotampE)d-x =-lt- trF gt

~L-~gt ~ ~~~~kQk d~~k~~

V~~ V tt1- ~~ m ~ ~middotI (~lt~s~ )

bes- ~~~71~~ ~~~~ - ctL =- smiddotT ( C~J-= ~~ )

ltLx (4043)

~~~ ~ sgt= ~V ampk

s== 1-G~~4 ~Trol)2lt ~kJJlgt tG1I c V

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

~V

rJ fr ~

l i

~ ff

f$l

~f

~tr

tmiddot F ~r~

c

~~ ~r

lJ f

~ ~~

~ ~

li g

r

I

f ~~

t fifmiddot

~

t

~ -

f

f

I r

~ ff

t t

lrgtif

ff

f~

~

~ It J t

f f[ffr

~ Ne

(gt f

shyr

p P

-f

fgt~r

~t

fJ f

~

f f r

rff r

f-~

f ~ f

~

~

o~ fE~B

~k7~[~tt~

ff~f~[Ff

~rf

f1ff

~

cp K

~tmiddot e

f

f (

t x~

~ ~

11-

~

f 7

~

a

~ g

llt~ ~

If r-

~ -

rl)

1+

~ r

It lt

f

r

f

lIt

1

J

t)(

rtN

f

j

~

sf

f bull

~

It

( f f

~ p

-a

~ r

~ s

wJ f

~ f ~

~

E

P

1lt

(J1

1-

v

E

t tr~~~~

~

fff

tft

r s

JW

(f

) ~

gtlt ~

f ~~

~ l

-

l 0

C) ~~d ~ ~-S~~ Ouml~lAA-d

-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

~~

~

~ I ff f

I

R

~

U-r~

r t

Ce

~~ ~

IJ~ v

o

amp t L~ f f

r ~f

i rJ

[ f

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tsect~

~ t

~_

-5 ~

f

fr

rff

r J~ sect

~ 1

1 r-

~ (j

J ~

~

ft

-~

~ ~

~ ~

rshy

ltgt11

1-t

V J

t [

~ lt

j 1l

r I ~

s t ~

a

~ t=

t t t

f f

shy

~

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f-f f

rf ~

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amp

~

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S

I

I

n 11

$ r ~

r

frf t

f~f

rf~l

fr

tf-l

f f=~

i4 ~

~ tt

t Jl

f S

rf~

_f ~ lt

t i J

11 1 ~

~ ~~~

~fshy

f~

l1~

~tr

~

-~ f

r f ~

r~~f

tf

~

l~J

f

e

r

I ~

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1 1

shy

r [r

r~

f

I

-~shy

~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 21:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

- 302shy

~)~t- ~=tJvv V~A=-~o(lJ

So = ~( lltl~ Cil----~ J ~ lt ~t-JV-raquo bull bli G N 2 V

~ ampiv skt~hs~ ~~~ ~ ~~ MMLt~tshy~~ ~kL ( s SJ1-amphtrt f I SO)

-2kT NlaquoLAlJ)

7-

gt = _

(4fgt40l(OfC6V7

1=iouml- ~~~ (l = J 1- = J~I-I ) trl ~

Z (tIll)gt = tl J ll ) bull ( 404 +)

jgt~ ~~ltl ~~ lU-t~ ~1u-~~

~ ~ C64~) ~ (40 4S) ~ So ~~~ tM~

( ~-~LUMb~SW) S~hamp ~ ~ ~ ~ tltt L A9-to

So = 4lo~4 (l-1D2- ~ (4i)4-1 6~ G N ~

~~t ~~~~ ~~ AumltH~sk~ ilttshybh~(dgtszligCOAamp~ ~~~~ ~~w01 ~k) ~)

~

-I I4 k -Dilamp(~~ ~ M ~4 lZ~p~~~ ~ A-4 ~Gv1 ~L ~~ s~ ~~~~ ~k ~~~ ~~~ 4~) ~~ S~t~- ~luumlL~W ~~ ~k ~ JtamplMt~~ ~tgt~ ) ~-t~ ~ ~r~~~~ vtwAi~ C~J- ~lUt ~

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

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~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

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=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

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a)~~~ ~~kk

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 22:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-3()~shy

~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~

2 ~b~~ -PUMlt- ~ =- () ~rJt-Sampt~~ ~4( uu~~ ~ ~O~ kl seLs-~~~ ) ~ 6~ Op((~ ~~ a4 (~Ut ~9~~ ~-tQ)tr~~ Ja~

3 ~ ~l~~~~~~ LLtntlOuml ~ 4-t~ ~ ~~ ~ ~ ~ -t 1s~u ~ 8ft

~~ -b~k~~~ ~~rk~ ~ LJuuml- ~~~ ~ V~0A V O ~- Ntgt e~ ~ lutlets~~) claL~~~ ~~~d- ~~~shy~-4- fMamp V ~ ~ lf-t~~ A V VO t-g1 ~ 0u~~LJJlQ-1l-) ~~ eo~~k e~ ~ ~ V ~~~ ~~ ~a~e~~l W ) ~ N L~~~)T4~

tU V ~ ~~ )-(

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

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UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

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(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

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=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

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a)~~~ ~~kk

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~ L4

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

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-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 23:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-304shy

sect4- ~eM~$

Ltuk ~~~- luszligM ~k Nltoumllt-A~ k kJJshyctw~~~ ~ ~11Meht-sA ~gt~~ ~M 1k~ ~~etA ~~ ~ uufi ~ lM -eurolaquol-euroA

~~~~~~~~tt~ ~~ 1e ~-shy~~LJ~~)eurogthA~ ~~ lgtiMJlMltzn~ k ~~s) ~~~ ~lvu~ ltAMJ ~1Zd h~~ ~ ~ 11 UAM ~ 2~ ~~

Jgt~ ~~~~~~ ~~ ~ lu~~middotU ~~ oumlampAAl ~ tf(- ~1r UU+ ~~~shy~k rJ4 ~ lU4~lUA~~ exA~ ~~~

~ ~~~~(MA~~ ~~ ~~~ ~1- ~~~~tN ~~ amp ~~ ~ ~)(~ ~~lAM~ luA~ ~~~~~~ ~ ~ ltAA_ ~ ~~~~4~~~~~ ~~~~~

~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~

~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt

()) w~ ~~~~~ Cj~~

CD - 1 ~- ) LL = 0 bull L41)ltZ- ~ - 2shy

gt~ f~ ~~~~~~ ~ L-JJ_ ~ ~ -D~ IS~ Vet4tL~ tszlig- ~lshy~ wu ~ ~~ ~ ~1~samp~~~~~~ ~k~ ~Lb~ Jek ~~le ~ ~~ o~- ~ ~ Vct~~ ~~~~ Wuuml-~~ ~ tLcA

~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~

J

(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt

etlll ~ ~Ie k ~-c~ (4-U)-

e=~ bull c

-plusmngt~ k~~~f~ ~~~

~U ~4laquo ~2l~ ~ WN~~ ~~Ma~~~~Q ~ Tu ~ 2 ~J~~

~ (Q-OumlU-LL6~)dV ~ Co-ClJU-ultO~)k j COb CO ~ CO-t

~ ~ ~-b ttM~ ~~~ COb se~ ~~ T ~~ ~ ~IJ~ ~~~ ~L)(-~ )(sC4)n))

~ LJ~~b- A+-lz- ~ 1R3

lud s~ ~ ~~) ~~ ~~ ~ ~ amp- ltu4-1gt4- ~~~ UM~ ~Ul

- lto)- =- ltQ ~ = l 1~ _ i- ) eckt CO VL ~ -t- t- -c--Zshy

UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0

S ( u ~ - ~~U ) J()= U(~raquo) ~ E- -b ) ~~ ~~ j

oh 0dF~

~ ~~ lLkAbe~ ~~~ ~~ ~ ~( ~4)

-3)-

CO) ~ Llu~~ ~ ~Se~)~ ~~ ~ ~~ouml~~)~~ ~ ( ~~shy~~ lUU- aA~r~h~14 ~~~ ~) JJ~ Ll ~ ~ tU~r~l~ ~ elle1-+- CLuAJ ~~lshy~ ~)Lt-~ ) ~~b~ 1-et

~C(u _ LL ro~ ) t-2 JQ --gt 0 ~ tgtlto1- --igt bull ~ t- Cfgt tshy

-5Egt~-

UM~~~ Q-U4~~ ~ ~ UM~ ~~ ~ SM~ JQA sampt~fUA~ ~Js~ ~) uhu eUt ~~~shy-tl~~ llGu ~ ~~~~ luM~~it- ltut ~ L--A~~~lAuml- tM ~~ -P~kk x ~ k~~-

Jouml ~~ ~~ UM~ ~~ titA L-At~ ~L tt) ampAlt ~ 4~luJ1 ~ Aufpulaquok-L ~ tUAiA ~ ~)~ tUt ~ ~ ~ ~4A~~ aeshyse-~~ ~~ ~ ~~+UA~k ~~ft ~ ~ ~_ ~u~ ~U- ttk~L Ls~~)

sA~~ ~

~ ~~ f~~~~ ~t~~~~ ~ ~ ~~~ ~ (d~ a-u k ~~~~~~~ ~ 0u1l rC- I

Lt= () )

(4(s)

~~ l-(l~ ~~ hu~~ ~ ~ k- ~u~ ku ~ liM ~UL-t4k ~ ~-l- ~~ ~ ~~ L4A 4-) ~ tlLQ tU thA ~)~~~shyW-u~ Uk~dMvl~) dh ~~k~ Ll wJ ~~ tL) ~ ~~~ ~~~ (4l~ ~k ~~ JJu- j rAtgt ~ ~euroM ~L~~ tgtlM4kl

u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

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6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

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~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

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Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

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=- ~2 ~ lU(2-JaJ~ = ~l 2B

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L I

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ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

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-~-

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I -

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lJrj 11

I I~ltI) rJ D

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-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

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~~ ~~ auv QU~~ ~~~+U-t Ckd~)

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L L

L

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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

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lJrj 11

I I~ltI) rJ D

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-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

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L L

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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

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rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

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I -=

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l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

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l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

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u~)= LtL~)- SClf~-~~~)~ (4-9) s

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L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

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=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

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~ L4

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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sA~~ ~

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(4(s)

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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

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l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

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--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

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t ---

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 27:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)

l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~

~tampt ~ ~ ~~ ampL ~~ t-s~ ~ u0 ~-eJ LcJlttu~J- ~lfJfA [4(4-) ) ~ b( ~ ~k ~~ ~ (A-I8) 0JuL ~~ (S ~(~) ~

u~)= LtL~)- SClf~-~~~)~ (4-9) s

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

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l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

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oll ~ -== XR) ~I =~R

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h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

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-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 28:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

- 3gt09shy

-eurolti CUL ~ l4~~~ ~~~ c9fmiddot (4lt(0)

~kL lAA~ u~l J ~~~ ~euno~ ~ ~~Jlaquolw~~ aJh~ ~

~ ~~~ ~~ ~ UUi~t-uti~~ 4rtkt~ ~~~~~~ j~ ~ LL tuut C)u~vt ~ ~ ~ ~ ~ ~ ~ L4Auml3) ~ ~4~lt-~ iuuml- ltgt-+12 ~ -1~--t~l- ~~ ~~au 1auJ~ tMkQJ

6b = 0

II11 I t

~ l4A ) ~ ~ MU--~~~k ~ LL utu(

~ L4 ~) -uu- ~~~~ ~ ltOuf)n ~j~~_ ~~~~ ~~iet~ ~ (4-tS) ~ l4) W~ ~ ~-wu~ t(l 1UA~4L-t1~ ~~fS~~ ~~~4~~k~~~ C4(t4-) ~ (4-lS-) ~~~k~~ ~~~-

~

~~lM ~ ~~~ ~ ~ ~ ~(~~ ~~k~ bb ~ ~~ ~ ~ ~~~~ ~ ~ lg ~t-A1L~

l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

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M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

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1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

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oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

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L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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l()~ 1lt =l~-~l ) ~t~ l ~_~It WAt1 ~ ~ ~ X I ~_ ~~~ tMl4- k~

~ (444) ~~~ ~ 4 ~~agt~~ ~ ~lgt ~ ~~ $uszlig ~~- Vi ~ ~~~Ueuro~ UA~ ~ ~ ampu k~~~~~~~ ~ ~~ ~ ~L Juuml ~lJL~~~ C-R= ~_~)

~~~ ~~l 5~ AWl (4tS)

~ ~ ~~4 L4-lt-raquo) (4 ~ ltw L4-tl1-)

L r ~klt Itl 1lt 11ltj) = ~ J ~ CA ~ ~) u()~I) k4)

-url 15 1 eR R

~~Ll-

V~ ~ ~s ~) (418) SD ~ w-Jv~ [4l~)k-~ ) ~ ~ hlaquo ~ ~tA gt-EAie~ UMJ ~ ~~ ~~ ~ ~ l~~~~L tt k~~lui4ss~

~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~

AampL ~~ tgt~~ tU ~A J 14~ ~ ~~_

~ a~~lMa~oe ~~b1 ~gt~ ~~ ~Q~ l41~~ ~eM ~ ~~~ ~~~ ~ 4uuml

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

tC44 2C) k V~J- ~ ~ s~ DS~~4 ~1ltUshyltft~ tM (A-Qf) Auml4J~ 1(Q~l) ~~ aa ~l ~~- ~~~~ ~~ ampu ~~ Au-t~~ ~ ~ ~~ ~t-~t4 ~ ~beL~Lt~~~ ampagtf ~ 1Sttttt) iA ~~~ ~e4 ~s ~~

-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

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~ L4

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~ t

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~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 30:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

--shy -gt ~

~ Q L a~gt4~~~b~~l ~~ ~ e ( t ~~~ )

~(~(t--~~) L~J~ A~x~~)

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-+) ~~ ~M- k4~ ~ ~ ~ ~~ k se~ll i1~ S4~~~~t

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~ t

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 31:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-32shy

M Atu~fgt~~- ~ tLe ~~ tekLAUU~ ~ wU ~- ~~

~lu-~ ~ llLtJ ~ ampi Q~ ~~-s~ ~ l(l

UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy

~ jtampRr~t~ UA ~ ~d (-1=)j)~ ~k~l9laquot-

)(

-shy ---

V~~ Lu ~ ~ rJu 9H-~~ ~ L) )

~ tTashy

-r2 L 2 2-K =- )( --d +- Z-

1ltL=- )ClZ+JZ+Zt-

L Z f 2 2 t- = lt - 2- - x ~ 4-d~) -- ~ +-1 t-t l-_ ~2 _ 2-Lx ~ ~J~f) -- ~2 +-1 2 bull

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

~~ uuA ~ ~~~f~~~ ~~ Jgt~ ~~ ~~ zAuml- AumlLCampl e-i (~~~)

t ---

A

~szlig

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v

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-j~~ tt1 Ut ~l~M~ (4eu~~J k~~ r~-e~ 4shy~ ~~l~

bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

~ ~ 3- n lt()-=amp V -1 2 lMt~ ~~

~ t

~~

~

~ I ff f

I

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~

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r [r

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~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 32:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

2 2shy

+ =-~ _ )( ~ -( 1 +- ~ t-1 _ R 21lt

1- =-~- gtlt~ -4-1 [ +- ~-l Z _

R 2-~

j~ ~~ ~ ~ (4-lt12) ~

1 kC~+-1lt ) i1c~(~J tr)LLLIl ) = A ~ CKO -e 5B -e d-~ cl~ )

~ R~

(+I26)

)

S ~~~~

~ ~~~ ~ ~~~~)~ ~ k~L_ l~ L ~ dRA U~~F~- -p s~1- ~ ~-J dcvw lMAM ~~ ~ (4(24) ~~ fu~~UUL ~~~ ~r -b~ ~~~ ~~

01 =- )( ~ ~ =- ~ 1lt

oll ~ -== XR) ~I =~R

~~ ~ rJt ~~~fr~~~ wu ~ ~t-

h A ( ( - ~ -C ~Ul+oc) +-Ilr (F---t-f-) J lJ~)= LraquotU+srj ~ t2- ~ i1

C42lt)

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

~ L4

~kk ~~

~ 4-amp_

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t ---

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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0

L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 33:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

- 5(4shy

~ ~t~ ~ UUUA ~~~~tamp-~lett~~ eu ~~~ J ~ ~ JJv lAA~~~ge~ S~ ~~ ~USR- L~~) ~ ~~--P~s~_ ~lA-v~ ~cuu~~ ~ ~- ~ a1flo ~ ampJJA ~~~4 ~~~~~~~~cM ~~ WLlV ~ ~~ 1uki Q ~ szlig~~ tu4lUAA~ (S-~)

L

~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~

~MAltk () lS~j) au~b~ ~ amp~1- ~~~~ iJtL

~~~ 0 ~-t- at4-t ~ ~ k~ ~~~~ Au craquot-olu~ ~ (4Alb) Ut- u2 -=- 0) ~lt

4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~

a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~

tu- a = LX +-ol J ~ ~ ~i-

~ Lu 2 ~ amp~ = 15 =- ~~szlig ) 1 C4Azf)

Sszlig ~ 4 ampamp4Mk ~ L(middot2) ~~ ~dl- ~~~~l se X (~i) tLe ~~~~~~s~ ~~~ ~ B c R ) ~

- tsshy

j

Lt = ltuamp X let - k4) I (4( ~)

~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~

~

13gt = ~ I)laquo(~ 1) f J~ tt = ~ ~(laquotd )Z J(ui) el(~~ ) ~

=- ~2 ~ lU(2-JaJ~ = ~l 2B

~_)- szlig LQctA0

LL = _~ ~

-e 1 (Q~ i-~ ) J~ J ~ ~

a)~~~ ~~kk

WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C

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L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

Ll= ~

Ll = Lamplaquod ~s-

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

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I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

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IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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- 318-

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L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

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lJrj 11

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kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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L I

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~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

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- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 36:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

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L I

L I

~ = - ~ lQ) 1 - +-~ bullI(J

O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp

ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

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S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

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I -

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 37:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

- 318-

Q 2tt

L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull

~ltM ~l ~ lMamplk ~~~~~ -ro(~) ~ ~ ru~~

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-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

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kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

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~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

J I

I -

- lLl~

lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 39:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-~shy

~~ ga~ ~ C4middot 24) ~ LM~ ~UUL ~ ~ ~ ~it~

~lu- ~ lM L4-(Zs) rLL ~~ru~k~~shy~~~

-D- ~~ ~ ~_ ~~~k~ ~kA

~) =- )( 6) +-~ (0) )

S

X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )

() z

amp~t- ~ ~) ~ ~Ltl~ ~ s U-t ~ ~~ ~~ J Jt cQgt~amp- lCGI ~ C6l-lUA-~~ (Sh~)

-~-

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I -

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

-CU-a7~-GA-a3-02-O1 1 01 CU if=t2 G6 07 01

kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 40:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-~-

J I

I -

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lJrj 11

I I~ltI) rJ D

~I Di I if I ~

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kr- 01tL Qj I -ltI-_

IJ

- I-b - Ibullbull1 U-Ii

I~~ L I-2Sl-

-I- 1 1 [Reprinted with permission from Classica1 The Comu spua bull

E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull

1974]

~ = 1 So bull

(4-tAS)

~~~mao Mamp~~~~ rK- ~~

)

4~ ua u+- ~~~~~~k -uleft ~~j rA1JeS ru~lgt1e ~uamp1~ Lle~ ~ z ~~_

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 41:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

-~22shy

~u-

~~ ~~ auv QU~~ ~~~+U-t Ckd~)

jgt~ ~~ ~~~ daA VIlA~ ~ l~k ~ ~ ~~~~ UJu ~~ ~ ~fwtU- -p SO CS~0J ~ ~tgt~~ ampu V~~t LP u4 ~~~~~ ~ ampt ~shy~ ~k ~oerL~ s~lL

L L

L

1gt~~ ~ct ~ 1 ~ k~l~~~ -bG ~~oa ~~ ~~ ~ ~ -

~ ~ ~ ~ ~~ - ~ ~ X ~ lt ~ ~~~ ~~+-tlaquo~~ki (~h~~ ~ ~ ~ ~~ ~ ~~ _Cltgt uJ

k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~

s~1- ~ ~zLR~t=)

(-t - t) _-euro-=---__uclgt) = A ~

rS 2k-It1l= A- t u Ouml ~er 6u

2 -pOt UMja4ampk ~~M

~~~~~) ~

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~

Page 42:  · ~J. ~~lM ~~~~ ~'-A,~ ~.~ t4. tW. ~~~-eu:.~ ~~~ ltl. \)€J.tf4~ ~ ~~~'"'S.~ ~~~~ ~ ~~/ ~~~~~ ~CiIJ4 ~ ~~.~_ ~~ ~~[~9.+) ~~~s~~a-~ ~CU1.~.::1'>tt~ ~~~(?:.q.~) ~~~-P

I -=

-kluamp( ~ 21 L() ~~ ~ (Q~l ~ ~~ ~

VaJt~ ) ~~Lamp~~vl - IH ~l ~ z

l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~

~uu-(~~ ~~~~V~ ~ ~~ ~~

~i- l+~ft- ampb-~~ szligeu~ douml-~q~ ~c 2-i-s ~ ~~)~k~ lfJ62 ampJL~gtamp-ah~ ~~ ~~UAMA-euroM ~~ ~~ ~~) ~ ~ LlU4 ~ ~r~b LA ~~) ~~~~~~ ~~k-~ ~eQ Lttt-~~~~ 1(~leut4 JoA S

~Qu~ ~~~ ~~-cU- ~ s~-~ ~l~k~~l~ ~ 3C 2+-~ ~ at4 tuJ euLk~ s~~t~ ~~~~ 1--et ~~ t1t1 ~ Argt~ -=- euro)middotlS- J~ 1lltt~I4J CY6 ~ L~~~~lu1 b~ ~ bC~ Ilgt- ~ amplIl41ltl- j ampR ~uamp~ J-e~ d240 ~ ~lkJc~ ~amp~