金属-介质-金属三棱柱结构超表面中的磁电耦合

量子电子学报

金属-介质-金属三棱柱结构超表面中的磁电耦合

倪赛健，王晗，王勇，鲁拥华*，王沛

中国科学技术大学光学与光学工程系，光电子科学与技术安徽省重点实验室，安徽合肥 230026

出版日期:2019-09-28 发布日期:2019-09-18
通讯作者: 鲁拥华（1976-），安徽人，副教授，研究生导师，主要从事微纳光学方面的研究。 E-mail:yhlu@ustc.edu.cn
作者简介:倪赛健（1992-），江苏人，研究生，主要从事表面等离子体方面的研究。E-mail：nsjian@mail.ustc.edu.cn
基金资助:
Supported by National Natural Science Foundation of China（国家自然科学基金，11674303，61377053，11574293）

Magnetoelectric couping in triangular metal-dielectric-metal metasurface

NI Saijian, WANG Han, WANG Yong, LU Yonghua*, WANG Pei

Department of Optics and Optical Engineering, Anhui Key Laboratory of Optoelectronic Science and Technology, University of Science and Technology of China, Hefei 230026, China

Published:2019-09-28 Online:2019-09-18

摘要/Abstract

摘要： 基于亚波长纳米单元（超原子）的超表面结构革新并极大丰富了光场调控技术，从理论上研究并设计具有独特性质和功能的超表面结构在光场调控研究中具有重要价值。利用极化率张量理论计算了对称和非对称金属-介质-金属（MDM）正三棱柱超原子的诱导电响应、磁响应、磁电响应和电磁响应，设计出偏振无关的周期性MDM正三棱柱超表面，分别通过时域有限差分（FDTD）仿真模拟和理论计算的方法得到MDM超表面的透射谱和反射谱，两者能符合得很好。并发现对称超表面结构的反射谱对入射光传播方向不敏感，而非对称超表面结构的反射谱在共振频率附近对入射光传播方向有依赖。研究结果对利用不对称超原子设计具有任意反射系数的超表面具有指导作用。

关键词: 微纳光学, 反射率差, 极化率张量, 超表面, 共振

Abstract: Metasurface structures based on subwavelength nanoscale units (meta-atoms) have been innovated and greatly enriched the technique of light field regulation. Therefore, it is of great value to study and design metasurface structures with unique properties and functions in light field regulation. The analysis of induced electric, magnetic, electro-magnetic and magneto-electric response within the symmetrical and asymmetrical metal - dielectric- metal (MDM) triangular prism meta-atoms are enumerated by the polarizability tensors of the meta-atoms. The polarization-independent metal-dielectric-metal (MDM) triangular prism periodic structure is designed. The transmission and reflectance spectrum of the MDM meta-surfaces are studied by finite difference time domain (FDTD) simulation and theoretical calculation method. The two results are well consistent with each other. It is found that the reflection spectrum of the symmetric metasurface is identical whether light incident from upward or downward. However, the reflection spectrum of the asymmetric metasurface depends on the direction of the incident light when the incident light frequency is around the resonant mode. The results reported here are helpful for the realization of asymmetrical metasurface with arbitrary reflectivity.

Key words: micro-nano optics, reflectance difference, polarizability tensors, metasurface, resonance

倪赛健，王晗，王勇，鲁拥华*，王沛. 金属-介质-金属三棱柱结构超表面中的磁电耦合[J]. 量子电子学报.

NI Saijian, WANG Han, WANG Yong, LU Yonghua*, WANG Pei. Magnetoelectric couping in triangular metal-dielectric-metal metasurface[J]. Chinese Journal of Quantum Electronics.

参考文献

[1] Huang L, Chen X, Mühlenbernd H, et al. Three-dimensional optical holography using a plasmonic meta-surface[J]. Nature Communications, 2013, 4: 2808. [2] Lin D,Fan P, Hansman E,et al.Dielectric gradient meta-surface optical elements[J]. Science, 2014, 345(6194): 298-302. [3] Yu N, Genevet P, Kats M A,et al. Light propagation with phase discontinuities: Generalized laws of reflection and refraction[J]. Science, 2011, 334(6054): 333-337. [4] Cheng F, Gao J, Luk T S,et al. Structural color printing based on plasmonic meta-surfaces of perfect light absorption[J]. Scientific Reports, 2015, 5: 11045. [5] Yu N, Capasso F. Flat optics with designer meta-surfaces[J]. Nature Materials, 2014, 13(2): 139-150. [6] Kildishev A V, Boltasseva A, Shalaev V M. Planar photonics with meta-surfaces[J]. Science, 2013, 339(6125): 1232009. [7] Zhang J ,Cao C ,Xu X ,et al. Tailoring alphabetical metamaterials in optical frequency: Plasmonic coupling, dispersion, and sensing[J]. ACS Nano, 2014, 8(4): 3796-3806. [8] Hayashi S , Nesterenko D V, Rahmouni A,et al. Light-tunable Fano resonance in metal-dielectric multilayer structures[J]. Scientific Reports, 2016, 6: 33144. [9] Dolling G , Enkrich C , Wegener M , et al. Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials[J]. Optics Letters, 2005, 30(23): 3198-3200. [10] Tang C J , Zhan P,Cao Z S, et al. Magnetic field enhancement at optical frequencies through diffraction coupling of magnetic plasmon resonances in metamaterials[J]. Physical Review B, 2011, 83(4): 041402. [11] Li K, Wang Y,Jiang K,et al. Large-area, reproducible and sensitive plasmonic MIM substrates for surface-enhanced Raman scattering[J].Nanotechnology, 2016, 27(49): 495402. [12] Aydin K,Li Z, Hudli?ka M,et al. Transmission characteristics of bi-anisotropic meta-materials based on omega shaped metallic inclusions[J]. New Journal of Physics, 2007, 9(9): 326. [13] Amooshahi M. Canonical quantization of electromagnetic field in the presence of absorbing bi-anisotropic multilayer magnetodielectric media[J]. European Physical Journal D, 2015, 69(3): 66. [14] Wu W M , Njoku C C , Whittow W G , et al. Studies of permittivity and permeability of dielectric matrix with cuboid metallic inclusions in different orientations[J]. Journal of Advanced Dielectrics, 2014, 4(4):1450032. [15] Mirmoosa M S, Ra’di Y, Asadchy V S, et al. Polarizabilities of nonreciprocal bi-anisotropic particles[J]. Physical Review Applied, 2014,1(3):034005. [16] Mhlig S,Menzel C,Rockstuhl C et al. Multipole analysis of meta-atoms[J]. Meta-materials, 2011，5(2-3): 64-73. [17] Asadchy V S, Faniayeu I A , Ra’di, et al. Determining polarizability tensors for an arbitrary small electromagnetic scatterer[J]. Photonics and Nanostructure – Fundamentals and Applications, 2014，12(4): 298-304. [18] Albooyeh M, Morits D, Simovski C R. Electromagnetic characterization of substrated meta-surfaces[J]. Metamaterials, 2011, 5(4): 178-205. [19] Yazdi M, Komjani N. Polarizability tensor calculation using induced charge and current distributions[J]. Progress in Electromagnetics Research M, 2016, 45: 123-130. [20] Alaee R, Albooyeh M,Yazdi M,et al. Magnetoelectric coupling in nonidentical plasmonic nanoparticles: Theory and applicatons[J]. Physical Review B, 2015, 91(11):115119.