开口谐振环阵列在太赫兹波段的谐振特性实验研究
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摘要
实验制备了单元尺寸在微米量级的开口谐振环周期阵列样品,测试了其在0.1~2 THz频段的散射系数,验证了不同极化方向的垂直入射可产生单独的电谐振或同时产生磁谐振的传输特性,验证了材料电导率对样品的谐振频率的影响。结合仿真计算结果,得到了等效的负介电常数和负磁导率随频率的变化关系,及其电、磁谐振频率与谐振环单元尺寸增大倍数k的关系曲线。实验和仿真均表明,样品的电谐振频率与1/k线性相关,而磁谐振频率与1/k成正比关系。
The scattering parameters of the micrometer sized split ring resonators(SRR) samples are measured in the frequency range of 0.1 to 2 THz. The incident wave with different polarization directions producs a single electric resonance or both electric and magnetic resonances simultaneously in the normal incidence case. The effect of the material conductivity on the resonant frequency of SRRs is discussed. Based on the simulation results, the relationship between the effective permeability and permittivity and the frequencies are shown, and the curve of resonance frequencies with respect to the different size enlargement factors(k) of the SRR unit is plotted. Both the experimental and the simulation results indicate that the electric and magnetic resonance frequencies linearly depend on 1/k.
The scattering parameters of the micrometer sized split ring resonators(SRR) samples are measured in the frequency range of 0.1 to 2 THz. The incident wave with different polarization directions producs a single electric resonance or both electric and magnetic resonances simultaneously in the normal incidence case. The effect of the material conductivity on the resonant frequency of SRRs is discussed. Based on the simulation results, the relationship between the effective permeability and permittivity and the frequencies are shown, and the curve of resonance frequencies with respect to the different size enlargement factors(k) of the SRR unit is plotted. Both the experimental and the simulation results indicate that the electric and magnetic resonance frequencies linearly depend on 1/k.
引文
1 V G Veselago.The electrodynamics of substance with simultaneously negative value ofεand m[J].Soviet Physics Usp,1968,10(4):509-514.
2 J B Pendry,A J Holden,W J Stewart,et al..Extremely low frequency plasmons in metallic mesostructures[J].Phys Rev Lett,1996,76(25):4773-4776.
3 J B Pendry,A J Holden,D J Robbins,et al..Magnetism from conductors and enhanced nonlinear phenomena[J].IEEE Transactionson Microwave Theory and Techniques,1999,47(11):2075-2084.
4 R A Shelby,D R Smith,S Schultz.Experimental verification of a negative index of refraction[J].Science,2001,292(5514):77-79.
5 B Ferguson,X C Zhang.Materials for terahertz science and technology[J].Nature Materials,2002,1(1):26-33.
6 D M Wu,N Fang,C Sun,et al..Terahertz plasmonic high pass filter[J].Appl Phys Lett,2003,83(1):201-203.
7 T J Yen,W J Padilla,N Fang,et al..Terahertz magnetic response from artificial materials[J].Science,2004,303(5663):1494-1496.
8 Liang Lanju,Yan Xin,Yao Jianquan,et al..Two-dimensional left-handed material based on parallel metallic double rods in terahertz wave[J].Acta Optica Sinica,2012,32(3):0316001.梁兰菊,闫昕,姚建铨,等.基于平行金属双柱的太赫兹波二维左手材料[J].光学学报,2012,32(3):0316001.
9 Wang Wentao,Liu Jianjun,Hong Zhi.Terahertz multiband terahertz filter based on three nested closed rings[J].Acta Optica Sinica,2013,33(3):0323001.王文涛,刘建军,洪治.基于三个方形封闭谐振环的多频带太赫兹滤波器[J].光学学报,2013,33(3):0323001.
10 Han Hao,Wu Dongwei,Liu Jianjun,et al..A terahertz metamaterial analog of electromagnetically induced transparency[J].Acta Optica Sinica,2014,34(4):0423003.韩昊,武东伟,刘建军,等.一种太赫兹类电磁诱导透明超材料谐振器[J].光学学报,2014,34(4):0423003.
11 R Marques,F Medina,R R E Idrissi.Role of bianisotropy in negative permeability and left-handed metamaterials[J].Phys Rev B,2002,65(14):144440.
12 D R Smith,J Gollub,J J Mock,et al..Calculation and measurement of bianisotropy in a split ring resonator[J].J Appl Phys,2006,100(2):024507.
13 X Chen,T M Grzegorczyk,B Wu,et al..Robust method to retrieve the constitutive effective parameters of metamaterials[J].Phys Rev E,2004,70(1):016608.
14 B G Quan,X L Xu,H F Yang,et al..Time-resolved broadband analysis of split ring resonators in terahertz region[J].Appl Phys Lett,2006,89(4):041101.
15 X L Xu,B G Quan,C Z Gu,et al..Bianisotropic response of microfabricated metamaterials in the terahertz region[J].J Opt Soc Am B,2006,23(6):1174-1180.
16 J D Baena,J Bonache,F Martin,et al..Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines[J].IEEE Transactions on Microwave Theory and Techniques,2005,53(4):1451-1461.
17 J Zhou,T Koschny,M Kafesaki,et al..Saturation of the magnetic response of split-ring resonators at optical frequencies[J].Phys Rev Lett,2005,95(22):223902.
18 M W Klein,C Enkrich,M Wegener,et al..Single-slit split-ring resonators at optical frequencies:Limits of size scaling[J].Opt Lett,2006,31(9):1259-1261
2 J B Pendry,A J Holden,W J Stewart,et al..Extremely low frequency plasmons in metallic mesostructures[J].Phys Rev Lett,1996,76(25):4773-4776.
3 J B Pendry,A J Holden,D J Robbins,et al..Magnetism from conductors and enhanced nonlinear phenomena[J].IEEE Transactionson Microwave Theory and Techniques,1999,47(11):2075-2084.
4 R A Shelby,D R Smith,S Schultz.Experimental verification of a negative index of refraction[J].Science,2001,292(5514):77-79.
5 B Ferguson,X C Zhang.Materials for terahertz science and technology[J].Nature Materials,2002,1(1):26-33.
6 D M Wu,N Fang,C Sun,et al..Terahertz plasmonic high pass filter[J].Appl Phys Lett,2003,83(1):201-203.
7 T J Yen,W J Padilla,N Fang,et al..Terahertz magnetic response from artificial materials[J].Science,2004,303(5663):1494-1496.
8 Liang Lanju,Yan Xin,Yao Jianquan,et al..Two-dimensional left-handed material based on parallel metallic double rods in terahertz wave[J].Acta Optica Sinica,2012,32(3):0316001.梁兰菊,闫昕,姚建铨,等.基于平行金属双柱的太赫兹波二维左手材料[J].光学学报,2012,32(3):0316001.
9 Wang Wentao,Liu Jianjun,Hong Zhi.Terahertz multiband terahertz filter based on three nested closed rings[J].Acta Optica Sinica,2013,33(3):0323001.王文涛,刘建军,洪治.基于三个方形封闭谐振环的多频带太赫兹滤波器[J].光学学报,2013,33(3):0323001.
10 Han Hao,Wu Dongwei,Liu Jianjun,et al..A terahertz metamaterial analog of electromagnetically induced transparency[J].Acta Optica Sinica,2014,34(4):0423003.韩昊,武东伟,刘建军,等.一种太赫兹类电磁诱导透明超材料谐振器[J].光学学报,2014,34(4):0423003.
11 R Marques,F Medina,R R E Idrissi.Role of bianisotropy in negative permeability and left-handed metamaterials[J].Phys Rev B,2002,65(14):144440.
12 D R Smith,J Gollub,J J Mock,et al..Calculation and measurement of bianisotropy in a split ring resonator[J].J Appl Phys,2006,100(2):024507.
13 X Chen,T M Grzegorczyk,B Wu,et al..Robust method to retrieve the constitutive effective parameters of metamaterials[J].Phys Rev E,2004,70(1):016608.
14 B G Quan,X L Xu,H F Yang,et al..Time-resolved broadband analysis of split ring resonators in terahertz region[J].Appl Phys Lett,2006,89(4):041101.
15 X L Xu,B G Quan,C Z Gu,et al..Bianisotropic response of microfabricated metamaterials in the terahertz region[J].J Opt Soc Am B,2006,23(6):1174-1180.
16 J D Baena,J Bonache,F Martin,et al..Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines[J].IEEE Transactions on Microwave Theory and Techniques,2005,53(4):1451-1461.
17 J Zhou,T Koschny,M Kafesaki,et al..Saturation of the magnetic response of split-ring resonators at optical frequencies[J].Phys Rev Lett,2005,95(22):223902.
18 M W Klein,C Enkrich,M Wegener,et al..Single-slit split-ring resonators at optical frequencies:Limits of size scaling[J].Opt Lett,2006,31(9):1259-1261