Vật Liệu Chiết Suất Âm

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Vật Liệu Chiết Suất Âm

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17

I HC QUC GIA TP. H CH MINHTRNG I HC KHOA HOC T NHIN

Bo Co Ti Mn Hc Cc Phng Php Thc Nghim Chuyn Ngnh

Vt Liu Chit Sut m

HVCH: Nguyn ng Bch NgaGVHD: V Th Hnh Thu

TP. H CH MINH 2015

Mc Lc

1.Nhng l thuyt ca Veslago v loi vt liu c vm.11.1.Vt liu theo qui tc bn tay tri21.2.Mi trng truyn sng ngc (Backward wave media)22.Nhng h qu c bit khi c sng in t truyn i trong mi trng c ng thi hng s in mi v t thm mang gi tr m32.1.Vt liu chit sut m32.2.Hiu ng Doppler ngc42.3.Bc x Cerenkov ngc43.Nhng ng dng tim nng ca vt liu chit sut m53.1.Siu thu knh53.2.Thit b bo v nten v b mt chn la tn s63.3.Vt liu c kh nng tng hnh64.Ch to vt liu c chit sut m 74.1.Vt liu c hng s in mi m74.2.Vt liu c t thm m84.2.1.Vng tr h lng nhau84.2.2.Vng h cng hng SRR104.3.Cc cu trc c ng thi hng s in mi v t thm m124.3.1.M hnh ch H124.3.2.M hnh ch 134.3.3.M hnh fishnet144.3.4.M hnh dng ch S144.3.5.M hnh SRR i xng kt hp dy lin tc154.4.Cu trc v tnh cht ca m hnh vng h cng hng lng nhau (SRR) kt cp vi dy kim loi di t c trong thc nghim16Ti liu tham kho:18

Siu vt liu (metamaterials) l mt loi vt liu nhn to, c hnh thnh bng cch cu trc ha cc thnh phn vt liu khng ng nht theo mt trt t nht nh. Cc cu trc ny thc cht l cc mch cng hng in t vi m, ng vai tr nh nhng nguyn t trong vt liu t nhin. Thay i hnh dng, thnh phn v trt t ca cc vi cu trc ny cho php to ra mt bc tranh in t v m vi cc tnh cht l thng khng xut hin cc vt liu truyn thng nh chit sut m, b cong nh sng, lm chm nh sng ...Vt liu metamaterials (MMs) c th c phn ra thnh 3 loi chnh:- Vt liu c in thm m (electric metamaterial):< 0;- Vt liu c t thm m (magnetic metamaterial): < 0;- Vt liu c chit sut m (left-handed metamaterial):n< 0.

Thnh phn in (electric metamaterial), c vai tr to ra in thm m ( < 0). Thnh phn t (magnetic metamaterial), c vai tr to ra t thm m (< 0). Cc cu trc ny c th c thit k to ra nhng tng tc mong mun vi trng ngoi. Da trn tng ban u, vt liu chit sut m l s kt hp hon ho ca hai thnh phn in v t to nn vt liu, ng thi c t thm m v in thm m ( < 0, < 0) trn cng mt di tn s. T dn n nhng tnh cht in t v quang hc bt thng, trong c s nghch o ca nh lut Snell, s nghch o trong dch chuyn Doppler, hay s nghch o ca pht x Cherenkov. Mt trong nhng tnh cht th v na ca vt liu c chit sut m l 3 vect ca sng in ttun theo quy tc bn tay tri (left-handed set). Do vy, vt liu c chit sut m cn c gi l vt liu left-handed metamaterials (LHMs). LHMs c th c thit k v ch to hot ng trn cc di tn s mong mun khc nhau, t vng vi sng ti vng hng ngoi xa, thm ch ti gn vng nh sng nhn thy.

Nhng l thuyt ca Veslago v loi vt liu c vm.Phng trnh truyn sng in t trong mi trng vt cht theo Maxwell c dng:

(1)

Phng trnh sng tng qut:

(2)

T gio trnh vt l i cng ta bit rng, l vn tc pha ca sng. Cho nn vn tc sng in t bng:

l chit sut ca mi trng c sng truyn, v l i lng c trng cho s truyn sng in t trong mi trng vi vn tc v so vi vn tc c ca sng trong chn khng.

vl nhng s phc. Trong t nhin, gi tr phn thc ca vca cc loi vt liu l lun lun dng. Tuy nhin vo cui nhng nm 60 ca th k XX, V.G.Veselago, nh vt l l thuyt ca X Vit a ra nhng l thuyt ca mnh v loi vt liu c ng thi phn thc ca vl m.Vt liu theo qui tc bn tay triCc Phng trnh Maxwell dng vi phn

(3)(3)

i vi sng phng n sc, cc i lng trong phng trnh Maxwell t l vi tha s pha. Do , cc phng trnh (3) v (3) c th c rt gn thnh:

(4)

Mi trng trong t nhin c vdng th ba vect tun theo qui tc bn tay phi. V v vy, mi trng ny c gi l mi trng theo qui tc tay phi (RHM Right Hand Media)

cn i vi mi trng c ng thi vm, phng trnh (4) c bin i nh sau:

(5)

T y ta c th thy cc vect tun theo qui tc tay tri. Do nhng mi trng ny c Vesselago gi l mi trng theo qui tc tay tri (LHM Left Hand Media).Mi trng truyn sng ngc (Backward wave media)Dng nng lng mang theo bi sng in t c xc nh bng vect poynting S

(6)

Ta thy rng trong biu thc trn khng ph thuc vo v, do 3 vect vn tun theo qui tc bn tay phi bt k vnhn gi tr dng hay m. V vy trong mi trng vi vm v khng truyn theo cng mt hng na, ngha l hng truyn nng lng v hng truyn sng l ngc nhau. Th nn mi trng ny c th coi nh l mi trng truyn sng ngc. S truyn sng ngc ny gy ra nhng tnh cht rt c bit i vi sng in t truyn trong mi trng c ng thi vm.

S truyn ngc gia vect poynting v vect sngcng dn n vn tc pha ngc vi vn tc nhm. Do vn tc nhm c nh ngha nh l vn tc truyn nng lng, trong khi hng ca vect sngcng chnh l hng ca vn tc pha trong nhiu trng hp. iu ny dn n nhng h qu khc l trong cc hin tng vt l bit nh hiu ng Doppler, nh lut khc x Snell, nh lut Fresnel v bc x Cerenkov.Nhng h qu c bit khi c sng in t truyn i trong mi trng c ng thi hng s in mi v t thm mang gi tr m1.1. Vt liu chit sut mSng in t truyn i gia hai mi trng trong sut, ng tnh bt k s phi tha mn iu kin bin ti mt phn cch gia hai mi trng:

(7)

Gi s mi trng (1) c >0 v >0 v mi trng (2) c 0.

Hnh 2.1: ng truyn ca tia sng ti mt phn cch ca 2 mi trng. 1- tia ti, 2 tia phn x, 3 tia khc x vi mi trng n < 0, 4 tia khc x vi mi trng n > 0.

Nu gc ti ca mt tia sng 1 ti mt phn cch l th tia khc x s l tia 3 thay v tia 4 nh trong mi trng thng thng, vi cng gc lch l . V do chit sut t i gia hai mi trng c xc nh da trn nh lut khc x Snell cng s mang gi tr m

Nhng v nn phi mang gi tr m. Hay chit sut ca mi trng ny bng

T y ta thy rng du ca chit sut n by gi c th c nh ngha da trn du ca v . iu ny gii thch v sao vt liu vi v