电子科技大学：《近代天线理论 Modern Antenna Theory》课程教学资源（课件讲稿）拓展03 电磁超材料

0 1cm 2 留 45mm 45mm a Metamaterial-Based Antennas microstrip microstrip MIM CPW MIM-Meander L Coaxial CPW ID 首自身自 R-WG CPS MIM MMIC

LR CL 0 z ZR Composite right/left handed(CRLH)transmission line(TL) CR LL 复合左右手传输线 YR YL Y △中 microstrip microstrip MIM CPW MIM-Meander L Coaxial CPW ID 自厚自厚自 R-WG CPS MIM

Composite right/left handed(CRLH) transmission line(TL) 复合左右手传输线

理想均匀CRLH传输线等效模型 LR△zCL/△z =a+=o公+（号户- C'RAzL L/△z (@l@)-1 Z-R+X.=7yo10)- △z 串联谐振频率 Ys =0010B 群速 并联谐振频率 p=01B 相速

理想均匀CRLH传输线等效模型 ' 2 2 '2 ' = ( ) ( ) ( ) L L R j js              / g v      / p v   2 ( / ) 1 = ( / ) 1 se c c c L sh Z R jX Z         ' ' 1 se = L CR L  串联谐振频率 ' ' 1 sh = L CL R  并联谐振频率 群速 相速

10-f(GHz) 10(GHz) BRE 9 R,RH 8 8 BPLR 7 7 6 BPRE 6 5 5 a se X.LH 2 B R,LH 3 -1 Ba 234 0 ⊙h1 De aZelz 色散曲线 3 不平衡结构 特性阻抗 Lg =2nH L,=2.5nH D 9 10 f(GH业) CR =1pF -2 C=0.75pF -3 相速、群速

' ' ' ' 2 2.5 1 0.75 R L R L L nH L nH C pF C pF     色散曲线 特性阻抗 相速、群速 不 平 衡 结 构

10-(GHz) 10-f(GHz) B 阝pPRH 6- 4- fo=fsn=fse 2 0 2 8 0 z.7z. 3 色散曲线 平衡结构 特性阻抗 27'p.g1R Lg =2.5nH g 6 8 0 L =2.5nH f(GHz) CR=1pF CL=1pF 相速、群速

' ' ' ' 2.5 2.5 1 1 R L R L L nH L nH C pF C pF     色散曲线 特性阻抗 相速、群速 平 衡 结 构

LC-CRLH传输线 均性条件：A< 4 LR CL 2 CR LL E=Np YR YL Yi Y.Ze △中 e f(GHz2)107 10(GHz) 9 9 aLC..' BLc 8 8- 7 6- 6 5 5 C 2 LC -3 2 3 p Bp

LC-CRLH传输线 4  均匀性条件：  

12 10 . 1. E0: ￡>0，u>0: n=eπ∈I,n0 plasmas @pe) isotropic dielectrics 8 metals at optical frequencies right-handed(RH)/ evanescent wave forward-wave propagation 6 ∩∩∩→r Artificial MNG TL Artificial ENG TL CRLH Ⅲ. IV. e0.u<0: n=-√e∈R,n<0 n=√Eu∈L,n<0 Veselago's materials ferrites (@@pm) left-handed(LH)/ (ferrimagnetic materials) 20 4060 80100120140160180 backward-wave propagation evanescent wave Bd (deg) LR =1nH CRLH(double-negative) ENG(epsilon-negative) L =InH MNG(mu-negtive) CR=1pF CL=2pF

1 1 1 2 R L R L L nH L nH C pF C pF     CRLH (double-negative) ENG (epsilon-negative) MNG (mu-negtive)

Metamaterial-Based Antenna Zeroth-order resonant (ZOR)antennas Resonator-type antenna- Multiband antennas Miniaturized antennas NFRP(near-field resonant parasitic)Antennas Metamaterial-loaded antennas Partially filled with metamaterial Antennas Leaky-wave antennas

Metamaterial-Based Antenna Resonator-type antenna Zeroth-order resonant (ZOR) antennas Multiband antennas Miniaturized antennas Leaky-wave antennas Metamaterial-loaded antennas NFRP(near-field resonant parasitic) Antennas Partially filled with metamaterial Antennas

Zero-order antenna Physical length 2x-()( =mx, m=0,土1，土2，..土00. Electrical length 0 ω(B) 0+3- 0+2 voltage m=1 m=0 0+1 m=土1 m=士2 0m=0 m=-1 m=土3 0-1 0-2 0-3 -3-2-0 +2+2Ξ+3受 0m=m元 (a) (b)

m=1 m=0 m=-1 Physical length Electrical length Zero-order antenna

[dB] 90 点 135 20 -30 40-180 Experimental (Copolar) Simulation (Copolar) (a) (b) Experimental (Crosspolar) Simulation (Crosspolar) Meander-Line Interdigital Capacitor Inductor 502 RH -3 -10 n=0 -2 -1 LH Unit Cell Virtual Ground 20% 4 68 10 12 Capacitor frequency (GHz) 75%reduction Sanada,K.Murakami,I.Awai,H.Kubo,C.Caloz,and T.Itoh,A planar zeroth-order resonator antenna using a left-handed transmission line in Proc.34th Eur.Microw.Conf.,Amsterdam,The Netherlands,Oct.2004,pp.1341- 1344

Sanada, K. Murakami, I. Awai, H. Kubo,C. Caloz, and T. Itoh, A planar zeroth-order resonator antenna using a left-handed transmission line in Proc. 34th Eur. Microw. Conf., Amsterdam, The Netherlands, Oct. 2004, pp. 1341– 1344 75% reduction