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本文设计了一种双层开口方环和双C型结构的超材料结构, 在太赫兹波段具有双波段的类电磁诱导透明效应. 该结构在1.438 THz和1.699 THz处出现透射峰. 通过电磁场分布分析讨论产生双频带电磁诱导透明的原因, 利用等效电路分析方法进一步解释了超材料中的类电磁诱导透明效应. 研究了超材料开口方环的开口大小和双C型结构距离以及改变入射角度时对透射窗口的影响, 结果发现在改变入射角度时, 所设计材料透射谱线变化较大, 表现出对角度的高敏感性. 同时, 改变环境的介电常数可以得到该结构的透射谱产生明显的红移. 以上研究结果表明该结构在角度滤波器, 折射率传感器等器件中有潜在的应用.In this paper, a metamaterial structure with a double-layer split square ring and a double C-shaped structure is designed, which has dual-band electromagnetically induced transparency effects in the terahertz band. This structure has transmission peaks at 1.438 THz and 1.699 THz. Through the analysis of the surface current distribution, the reasons for the dual-band electromagnetically induced transparency are discussed. The effect of the designed metamaterial on the transmission window is studied when the opening size of the open square ring and the distance of the double C-shaped structure and the incident angle are changed. At an incident angle, the transmission spectrum of the designed material changes greatly, implying that it is highly sensitive to angle. The research results show that the structure has potential applications in sensors and angle filters.
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Keywords:
- metamaterial /
- electromagnetic induction-like transparency /
- dual band /
- equivalent circuit
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图 1 双明模耦合的单元结构图 (a) 由顶层金属层和底层非金属层构成的超材料结构的三维视图; (b) 所设计超材料结构的正视图; (c) 所设计超材料的侧视图
Fig. 1. Unit structure diagram of bright-bright mode coupling: (a) 3D view of metamaterial structure consisting of top metal layer and bottom nonmetal layer; (b) view of the designed metamaterial structure; (c) side view of the designed metamaterial structure.
图 2 3种结构 (a) I, (b) II和 (c) III的透射频谱图对比及结构 I, II的对应频点电场分布
Fig. 2. Comparison of transmission spectra of three structures (a) I, (b) II and (c) III, and corresponding frequency point electric field distribution of structures I and II.
图 3 结构Ⅲ条件下各透射峰和透射谷处电磁场分布图 (a)−(e)为电场分布; (f)−(j)为磁场分布图
Fig. 3. Electromagnetic field distribution on transmission peaks and transmission valleys of the structure III. (a)−(e) are electric field distribution; (f)−(j) is the magnetic field distribution.
图 4 (a) 电磁诱导透明的等效电路模型; (b) 两种不同方法得到电磁诱导透明效应
Fig. 4. (a) Equivalent circuit model of electromagnetically induced transparency; (b) electromagnetically induced transparency effect is obtained by two different methods of ADS and FDTD.
图 5 改变空气槽的宽度g时透射率随频率变化情况
Fig. 5. Variation of transmission with gap width g of the structure II.
图 6 内环结构水平开口大小g1对EIT效应的影响
Fig. 6. Influence of width g1 of the horizontal gap of the structure I on EIT effect.
图 7 内环结构垂直开口大小g2对EIT效应的影响
Fig. 7. Influence of width g2 of the vertical gap of the structure I on EIT effect.
图 8 不同入射角度所对应透射谱的变化
Fig. 8. Variation of transmission spectrum of different incident angles.
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[1] Zuo Z W, Ling D B, Sheng, L. Xing, D. Y. 2013 Phys. Lett. A 377 2909
Google Scholar
[2] Zhukovsky S V, Kidwai O, SIPE J E. 2013 Opt. Express 21 14982
Google Scholar
[3] 杨曙辉, 陈迎潮, 王文松, 康劲, 贺学忠 2015 电波科学学报 30 834
Yang X H, Chen Y C, Wang W S, Kang J, He X Z 2015 Chin. J. Radio Sci. 30 834
[4] Landy N I, Sajuyigbe S, Mock J J, Smith D R, Padilla W J 2008 Phys. Rev. Lett 100 207402
Google Scholar
[5] Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
Google Scholar
[6] Hu S, Yang H L, Han S, Huang X J, Xiao B X 2015 J. Appl. Phys. 117 043107
Google Scholar
[7] Hu J, Lang T T, Hong Z, Shen C Y, Shi G H 2018 J Lightwave Technol 36 2083
Google Scholar
[8] Affolderbach C, Knappe S, Wynands R, Taĭchenachev A V, Yudin V I 2002 Phys. Rev. A 65 043810
Google Scholar
[9] Zhang S, Hu Y, Lin G, Niu Y, Xia K, Gong J, Gong S 2018 Nat. Photon 12 744
Google Scholar
[10] Papasimakis, N. Fedotov, V. A. Zheludev, N. I. Prosvirnin, S. L. 2008 Phys. Rev. Lett. 101 253903
Google Scholar
[11] Na B, Shi J H, Guan C Y, Wang Z P 2013 Chin. Opt. Lett. 11 111602
Google Scholar
[12] Zhu L, Li T C, Zhang Z D, Guo J, Liang D, Zhang D Q 2020 Appl. Phys. A 126 308
Google Scholar
[13] Zhao Z, Gu Z, Ako R T, Zhao H, Sriram S 2020 Opt. express 28 15573
Google Scholar
[14] Smith D R, Pendry J B, Wiltshire M C 2004 Science 305 788
Google Scholar
[15] ehera S, Kim K 2019 J. Phys. D: Appl. Phys. 52 275106
Google Scholar
[16] Jia Z P, Huang L, Su J B, Tang B 2021 J. Lightwave Technol. 395 1544
Google Scholar
[17] Shen S M, Liu Y L, Liu W Q, Tan Q L, Xiong J J, Zhang W D 2018 Mater. Res. Express 5 125804
Google Scholar
[18] Srivastava Y K, Cong L, Singh R 2017 Appl. Phys. Lett. 111 201101
Google Scholar
[19] Wu X J, Quan B G, Pan X C, Xu X L, Lu X C, Gu C Z, Wang L 2013 Biosens. Bioelectron 42 626
Google Scholar
[20] Yan X, Yang M S, Zhang Z, Liang L J, Wei D Q, Wang M, Zhang M J, Wang T, Liu L H, Xie J H, Yao J Q 2019 Biosens. Bioelectron. 126 485
Google Scholar
[21] Chen M M, Xiao Z Y, Lu X J, Lv F, Zhou Y J 2020 Carbon 159 273
Google Scholar
[22] 霍红, 延凤平, 王伟, 杜雪梅, 郝梦真 2020 中国激光 47 330
Huo H, Yan F P, Wang W, Du X M, Hao M Z 2020 Chin. J. Lasers 47 330
[23] 刘伟, 梁兰菊, 闫昕, 杨其利2020 激光杂志 41 53
Liu W, Liang L J, Yan X, Yang Q L 2020 Laser J. 41 53 (in Chinese)
[24] 王鑫, 王俊林 2020 物理学报 70 038102
Google Scholar
Wang X, Wang J L 2020 Acta Phys. Sin. 70 038102
Google Scholar
[25] Zhong M. 2020 Opt. Mater. 106 110019
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[26] Ma Y, Li D, Chen Z, Qian H W, Ning R X 2020 J. Opt. 22 055101
Google Scholar
[27] Li G F, Yang J B, Zhang Z J, Wen K, Tao Y Y, Han Y X, Zhang Z R 2020 Appl. Sci. 10 3033
Google Scholar
[28] Zhu L, Zhao X, Miao F J, Bablu K Ghosh, Dong L, Tao B R, Meng F Y, Li W N 2019 Opt. Express 27 12163
Google Scholar
[29] 李海明 2016 博士学位论文 (南京: 南京航空航天大学)
Li H M 2016 Ph. D. Dissertation (Nanjing: Nanjing University of Aeronautics and Astronautics) (in Chinese)
[30] 陈徐 2018 博士学位论文 (西安: 中国科学院大学(中国科学院西安光学精密机械研究所)
Chen X 2018 Ph. D. Dissertation (Xi'an: University of Chinese Academy of Sciences (Xi 'an Institute of Optics and Fine Mechanics, CAS) ) (in Chinese)
[31] 刘晨曦 2019 博士学位论文 (长沙: 国防科技大学)
Liu C X 2019 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese)
[32] 张永刚 2016 博士学位论文 (南京: 南京大学)
Zhang Y G 2016 Ph. D. Dissertation (Nanjing: Nanjing University) (in Chinese)
[33] 王秀芝, 高劲松, 徐念喜 2013 物理学报 64 147307
Google Scholar
Wang X Z, Gao J S, Xu N X 2013 Acta Phys. Sin. 64 147307
Google Scholar
[34] Abdulkarim Y I, Deng L, Luo H, Huang S, Karaaslan M, Altıntaş O, Bakır M, Muhammadsharif F F, Awl H N, Sabah C, Al-badri K S L 2020 J. Mater. Res. Technol. 9 10291
Google Scholar
[35] Lim D, Lee D, Lim S 2016 Sci. Rep. 6 39686
Google Scholar
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