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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
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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(
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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
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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 ~
~ 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-
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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 ~~~~
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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-
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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
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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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-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~
-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~~~ ~ ~ $b-ec-tp-s~ ~~_ ~~~~~~~)tk~ lU4~~~~ ~e ~~~~
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q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~
Jt Cf = 2 kamp4 8-2 (~liF )
~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __
u~luQ ~ ~ ~~~ cctgtgt -t ~ q~ ~ ~~ V~~~ szlig--lt ~ -V A ~a U-amp ~e-t qfh
~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~
NluA ~~ ~ ttl1 ltlt -i ~ ecfgt~L~~k~ eA4middot)(j k (31)) ~~~ -1 CMAt( 4 td ~~ ~ ~ ~kltal~
-2~1-shy
~ ~ ~ e ~ 8Mze Qltt~( a ~c~
+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L
~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z
jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~
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
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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 )
~ 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~
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~~ ~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-~ ~ ~
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~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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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
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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~~
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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~
-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
~ ~
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f t ~ ~~
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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)
)
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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
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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~
a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~
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- tsshy
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Lt = ltuamp X let - k4) I (4( ~)
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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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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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~) =- )( 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- ~~
)
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
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~ ~ ~ ~ ~~ - ~ ~ 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~
-28Sshy
t lJli u amplk M~~u -eurol~ Ud- ~ ~ (J~~_ tutuuml~u
2
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~~ ~-Pamp-chh~ ~J ~
A ko~k ~ ~lta~k ~~
1UM amptsbA~ ~ (3qi-) (e)ampttu~ ~~) igt~ ~_ ~ UkW-~ s~~~ ~ ~ $b-ec-tp-s~ ~~_ ~~~~~~~)tk~ lU4~~~~ ~e ~~~~
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q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~
Jt Cf = 2 kamp4 8-2 (~liF )
~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __
u~luQ ~ ~ ~~~ cctgtgt -t ~ q~ ~ ~~ V~~~ szlig--lt ~ -V A ~a U-amp ~e-t qfh
~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~
NluA ~~ ~ ttl1 ltlt -i ~ ecfgt~L~~k~ eA4middot)(j k (31)) ~~~ -1 CMAt( 4 td ~~ ~ ~ ~kltal~
-2~1-shy
~ ~ ~ e ~ 8Mze Qltt~( a ~c~
+tu- ~ ~ ucl- 2- ru~ m ~~~ 7L
~ I 2 Z (iE )~z~ It esg1 0)6Q ltt-4 c t --tult-z
jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~
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~ ~-~~)
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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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f4l~ ~Ule-L ~ Lwlamp ~~~~ uuJ ~(c)gtgtAlbek~
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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~
~~~~~
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~~ ampv ~k ~ (~9s) tlwi ~louml4~ tJIb ~~~=t- tQ ~~~~~ (~Ys) ~fl ~ k ~1 ~ ~ tlitek- Ll4gtb a4) fetwu-- ~fl- ~ ~ S~ ~JUtfl-~~~-i) ~ ~ ~ ~~ (h~
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2 2
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~ ~ ~~~~ ukQ-l t()
r 3 ~ ~ lt~gtt~ = J e 28 ()(-~~) WLx~)_ Xi) T dxshy
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2shy
= ~ ~ WjlKJ (~t ~~~
J~ fu- A ~-t~ ~~k~ 1lt1- ~~ ~ ~~~~L k-~~~ ~ tulk~ ~lIlaquo1k-e~ (L-ra4- LZ-)
~ dRs- J~~~~ (~=() ~ ~ (59~A) u-~ (3CjZ)
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(l~ (~) 2~~ -iQ J ~ ilS2 ~
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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)~
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) ~)
~
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~~ ~~~ ~~ uuA ~~-~r-gt~k szligetshy~
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~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~
~ JA4 OJe~ ~ ~ ~ ~lQ~~~) ~~ ~l ~~~ Wa~ ~tt
()) 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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UMtt ampJS= +2 tlQ 7 W- ~ ~~ -+ --gt 0
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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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6b = 0
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~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~
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)(
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2 2shy
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L I
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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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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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~~ ~~ 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=)
(-t - t) _-euro-=---__uclgt) = A ~
rS 2k-It1l= A- t u Ouml ~er 6u
2 -pOt UMja4ampk ~~M
~~~~~) ~
I -=
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VaJt~ ) ~~Lamp~~vl - IH ~l ~ z
l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~
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q~ L~~- k j2 = 2k( A-lampsamp)-= 4~~ltamp~
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~ Q(ho ~~~lt A lrl So ~ 9Cl~lt -i ~~~ __
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~~ ~ ~~~ (J~~ sAt~e~ ~ ~ ~ ~
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jauml (J~~ ~ 2 ~~ ~ao ~ k~shy~Utl~ ~ ~~ 22 lutamp ~ - ~-e~ (QlUU$~
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~~~ (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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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
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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)~
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 ~~~~
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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
WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C
~ L4
~kk ~~
~ 4-amp_
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t ---
A
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rJ fr ~
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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~ ~~
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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- ~~
)
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-~22shy
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-2~1-shy
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~~~ (3I1~O) ~ ~ ~L
kl ~ -le2 t ~z~ ctsz l(gtgt 1 IMlt=Z bull
~ tJ~sampL- ~ s~M~~ ~~ ~ ~~ dJ2J ~~ ~ub~l
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sc A 2~13 t (~V) lamp9middot ~
-288shy
~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~
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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 ~
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-283shy
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bull )
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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 -~
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I (Ll--le-) 2_ = - 4~ ~ ) (409)
(40 l0)
14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))
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()~ ~auml ~fgtq) ~ ~ ~~~ C~k~ otAi ~~ ~~ ~ (~middot9) ~ ~k1~ ~ Z ~
= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~
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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)- -
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-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- ~~
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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~~ ) ~()~
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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 ~
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)
~~ 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)
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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 ~
~ 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-~
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C42lt)
- 5(4shy
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a~ ~~ ~k LtszligJ ~ j~~eu ~ u sf)) ~
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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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O~ ~~~lt1 ampI2A ~~~ ~ampeu ~ f = amp
ULJ 0-= b~ ~ Couml~ ~ ~ ~ (4-A2J
- 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~)
-~-
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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-~22shy
~u-
~~ ~~ auv QU~~ ~~~+U-t Ckd~)
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L L
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~ ~ ~ ~ ~~ - ~ ~ 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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~ ~tulu~ VI2A~~ M~el- ~ lab~~ k ~~~~ ~ ~t~~~~ ~ ~ j)~~~~~~~~ ~~~
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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~) ~ ~ ~~~ ~~~
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~ ~a~~~-tl~b~~~ ~ ~ ~~~ ~ ~ ~--UA~ - e~~ lautu-tG (lt228) ~
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~~~~~
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~~ ~W~ ~szligaA ~ ~k- k4 ~ ck ttJ ~f~ louml ~~-) ~ ~ ~ ~~ ~~f(-t-~K~ ) ~~ ~1 ~ ~ 1t) ~
2 2
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2shy
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--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) ~)
~
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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
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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~
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rS 2k-It1l= A- t u Ouml ~er 6u
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LA+- ~ e o (~)1 A = 4laquo-~i) -( bull
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(40 l0)
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= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~
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~~~~
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1 _ -t- R -d- - c 1(0
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(40ZY
amptw -bi(VtJR~l ~ L-~~ t( f2tU4-l ~ lt10(U)~J)) bull
Dtl 1laquo~~k) ~ ~O ~~~~~ ~ ~4 (0lt IX4- )
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Ms~~ ~
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lt(Sraquo = ~~ ( p c~) = ~~ [V Olaquo(~) ~b)G-tlaquoraquo ~~ 1 -111) 2shy
= ~ V ~ cX ~ bull l4ltl21-)
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E1ectromagnetic Radiation b J ebullbull J Bbull Mariony TV Academac Pressbull
1974]
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(4-tAS)
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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)~
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_
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t ---
A
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rJ fr ~
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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~ ~~
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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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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
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~~-tM ~ ~ lksq~~ V~ 2 -~
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I (Ll--le-) 2_ = - 4~ ~ ) (409)
(40 l0)
14 -b~ ~ 1 ~ ~ ~~ ~~ ~ 2 ~~ (s (4()~) t4-ot-) ~ C4-f)8))
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= ~ E uva1- J ~ L4-tJ bull (() J hQ-tA szligeLt()~~~
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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)- -
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~t~2)2+-Qu ce)~
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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- ~~
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ds2 ( 1f2 c) () - - J AAoAA
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~~~~~~~~~~~~
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l~t) V~ tA3 l A 4j~~ ) ~()~
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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
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-
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(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~~-
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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(
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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
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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 ~
~ 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
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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~ )
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(+I26)
)
S ~~~~
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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)
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L
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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~
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- tsshy
j
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=- ~2 ~ lU(2-JaJ~ = ~l 2B
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a)~~~ ~~kk
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t ---
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- 318-
Q 2tt
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X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )
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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)
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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~
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rS 2k-It1l= A- t u Ouml ~er 6u
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--tl~ E - A l() 13 = 0 ) - ~ - )
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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
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~~-tM ~ ~ lksq~~ V~ 2 -~
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(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- )
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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~)
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
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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 ~
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)
~~ 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 ~~~~
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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
WL ~~~~ ~~~ ~~~ ~tampszlig~J- ~ ~~tf~C
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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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~~ 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~
- 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
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t ---
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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-
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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~
-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
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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
~~
~
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o
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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~
-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 ---
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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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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
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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~ ~ ~~ ~~
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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~
k= kmiddot Vl Vi =R lS (40(6)
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(4e9- )
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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- )
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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)~
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= ~V- ~( L~~ k ) e
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~~~~~~~~~~~~
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l~t) V~ tA3 l A 4j~~ ) ~()~
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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
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
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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~ ~~
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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~
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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
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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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~(~(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
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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) ~
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(+I26)
)
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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
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L
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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~
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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~
-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_
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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~ ~~
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~~
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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 ~ ~~ ~
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= ~ V ~ cX ~ bull l4ltl21-)
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~~~~~~~~~~~~
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l~t) V~ tA3 l A 4j~~ ) ~()~
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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
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-= ~~ )
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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)
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7-
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(4fgt40l(OfC6V7
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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
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~
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~ ~~~~~~~q~~lh ~~~ tus ~lo~ ~~~ ~ ~ t4l ~~k ~ ~feM) sects~
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()) w~ ~~~~~ Cj~~
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~ ~~dtL~~ (U-~l ~-d middot gtamp-ulaquot ~~igtk ~ G ~ cvt ~~
J
(t-t) WaS ~~ UMUAlA ~~~~~~~ ~J4- lLolt
etlll ~ ~Ie k ~-c~ (4-U)-
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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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u u() ~ = Cllcdeg ~ bA ~~~~ ) COvv ltovt (44-)
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l1t- Sereu ~ ~ Au~ ~ (4)4) ~ se ~ 4 kl~~~ ~UMfP~
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UMamp k~ ~ ~~ ~gt~ ~qb~~~ luishy
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)(
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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) ~
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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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j
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L I
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X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )
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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=)
(-t - t) _-euro-=---__uclgt) = A ~
rS 2k-It1l= A- t u Ouml ~er 6u
2 -pOt UMja4ampk ~~M
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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~
-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) ~)
~
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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)
~~ 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 ~~~~
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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)
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- 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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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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-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 -
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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~
-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)
~~ 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_
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t ---
A
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~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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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
~~
~
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r t
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o
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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~
-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
~~tft
tsect~
~ t
~_
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f
fr
rff
r J~ sect
~ 1
1 r-
~ (j
J ~
~
ft
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~ ~
~ ~
rshy
ltgt11
1-t
V J
t [
~ lt
j 1l
r I ~
s t ~
a
~ t=
t t t
f f
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~
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f-f f
rf ~
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n 11
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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~
- 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 ~
~
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kr- 01tL Qj I -ltI-_
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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)
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)
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- 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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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~
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~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~
-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 fifmiddot
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f (
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~
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v
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t tr~~~~
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tft
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) ~
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f ~~
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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
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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~
~ ~~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-
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L
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L I
L I
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- 318-
Q 2tt
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~) =- )( 6) +-~ (0) )
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X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )
() z
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lJrj 11
I I~ltI) rJ D
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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- ~~
)
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~~ ~~ 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=)
(-t - t) _-euro-=---__uclgt) = A ~
rS 2k-It1l= A- t u Ouml ~er 6u
2 -pOt UMja4ampk ~~M
~~~~~) ~
I -=
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VaJt~ ) ~~Lamp~~vl - IH ~l ~ z
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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- 3gt09shy
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6b = 0
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C42lt)
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L
~ r~~ ~~ Lt0 ~L ~ tk~ lt~~--e~ ~
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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
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- 318-
Q 2tt
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X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )
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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~)
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 -=
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VaJt~ ) ~~Lamp~~vl - IH ~l ~ z
l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~
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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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~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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~ ~~ ~ vAev ~~ (4A8) ~ UMtJ ~ ~~ V(j~
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2 2shy
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R 2-~
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(+I26)
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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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bet ~~~~~ ~ ~~ aw ~~~4 ol== ~ =- - ~ t8- ~ ~-~ ~ s~~~ ~ cItt4 ~~f~~ tt ~ k~~~ 4U- ~ ~~~ (lth~0
L I
L I
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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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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~)
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L L
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~ ~ ~ ~ ~~ - ~ ~ 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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b l~ H_j ill~~n~u = A t- ) -t = ~s~ 2laquol- - ~ 4 J (4(+)
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u~)= LtL~)- SClf~-~~~)~ (4-9) s
- 3gt09shy
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6b = 0
II11 I t
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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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2 2shy
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R 2-~
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(+I26)
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C42lt)
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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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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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L I
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kr- 01tL Qj I -ltI-_
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- 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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rS 2k-It1l= A- t u Ouml ~er 6u
2 -pOt UMja4ampk ~~M
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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 ~~_
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L L
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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~
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(+I26)
)
S ~~~~
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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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L I
L I
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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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~) =- )( 6) +-~ (0) )
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X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )
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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- ~~
)
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L L
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~ ~ ~ ~ ~~ - ~ ~ 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 -=
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VaJt~ ) ~~Lamp~~vl - IH ~l ~ z
l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~
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(+I26)
)
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C42lt)
- 5(4shy
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L
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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~
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L I
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~) =- )( 6) +-~ (0) )
S
X(5) = J~( 4)Ju J 1 lt (s) = ) ~ (J~) t1k )
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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 ~~_
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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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VaJt~ ) ~~Lamp~~vl - IH ~l ~ z
l=gtlJtAlu Xcs)+~ ltt~) j-t-2-e~ -laquo1 AUA ~ ~~ ~
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4 ampU~~ ~~~ ~~t~~~C~~shy~ ~M--) lM~~~~tL ~~~~
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- tsshy
j
Lt = ltuamp X let - k4) I (4( ~)
~ rx A ~ ~~splCA~ ~ -k~~ llU4 ~
~
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L I
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- 318-
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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)
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)
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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~
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- 318-
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L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull
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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 ~~_
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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
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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~
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2 -pOt UMja4ampk ~~M
~~~~~) ~
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- 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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k L--i ~$ -= 1 L 1lt 1lt=) (4- 4~
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L= ~ ~ ~dA-- ~ elk~amp- +~ltP tlltt () 0 bull
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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~
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t i J
11 1 ~
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~
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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~
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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I
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f-f f
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S
I
I
n 11
$ r ~
r
frf t
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rf~l
fr
tf-l
f f=~
i4 ~
~ tt
t Jl
f S
rf~
_f ~ lt
t i J
11 1 ~
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~fshy
f~
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~
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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~
- 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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amp
~
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S
I
I
n 11
$ r ~
r
frf t
f~f
rf~l
fr
tf-l
f f=~
i4 ~
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f S
rf~
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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~
~ t
~~
~
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amp
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S
I
I
n 11
$ r ~
r
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tf-l
f f=~
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rf~
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r [r
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f
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~
-~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~
-~-
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~
-~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
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