Retrieval of the effective constitutive parameters from metamaterial absorbers

doi:10.1088/1674-1056/abff27

中国物理B ›› 2021, Vol. 30 ›› Issue (11): 117803-117803.doi: 10.1088/1674-1056/abff27

Retrieval of the effective constitutive parameters from metamaterial absorbers

Shaomei Shi(石邵美), Xiaojing Qiao(乔小晶)^†, Shuo Liu(刘朔), and Weinan Liu(刘卫南)

School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2021-02-15 修回日期:2021-04-15 接受日期:2021-05-08 出版日期:2021-10-13 发布日期:2021-11-06
通讯作者: Xiaojing Qiao E-mail:qxjbit84@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11872013).

Retrieval of the effective constitutive parameters from metamaterial absorbers

Shaomei Shi(石邵美), Xiaojing Qiao(乔小晶)^†, Shuo Liu(刘朔), and Weinan Liu(刘卫南)

School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2021-02-15 Revised:2021-04-15 Accepted:2021-05-08 Online:2021-10-13 Published:2021-11-06
Contact: Xiaojing Qiao E-mail:qxjbit84@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11872013).

摘要/Abstract

摘要： The equivalent medium theory of metamaterials provides a way to obtain their effective constitutive parameters. However, because of its non-reciprocity, the complexity of the electromagnetic coupling, and a metallic bottom layer, it has been challenging to retrieve them from a metamaterial absorber. In this paper, we propose a method without any approximation to obtain them, in which the non-reciprocity and the strong electromagnetic coupling are included. Compared with the three methods such as symmetric metamaterial method, asymmetric metamaterial method and metasurface method, our method can reveal the metamaterial absorber's electrical and magnetic resonance and show its electromagnetic coupling coefficients. To deal with a metamaterial absorber with a metallic bottom layer, four corners of the metallic bottom layer in the unit cell are removed, making it possible to retrieve the electromagnetic parameters. Surprisingly, these results show that the metamaterial absorber with a metallic bottom layer in our example operates in a negative refraction state at the half absorption frequencies, which helps further understand the absorbing mechanism of these metamaterial absorbers.

关键词: effective constitutive parameters, metamaterial absorber, negative refraction

Abstract: The equivalent medium theory of metamaterials provides a way to obtain their effective constitutive parameters. However, because of its non-reciprocity, the complexity of the electromagnetic coupling, and a metallic bottom layer, it has been challenging to retrieve them from a metamaterial absorber. In this paper, we propose a method without any approximation to obtain them, in which the non-reciprocity and the strong electromagnetic coupling are included. Compared with the three methods such as symmetric metamaterial method, asymmetric metamaterial method and metasurface method, our method can reveal the metamaterial absorber's electrical and magnetic resonance and show its electromagnetic coupling coefficients. To deal with a metamaterial absorber with a metallic bottom layer, four corners of the metallic bottom layer in the unit cell are removed, making it possible to retrieve the electromagnetic parameters. Surprisingly, these results show that the metamaterial absorber with a metallic bottom layer in our example operates in a negative refraction state at the half absorption frequencies, which helps further understand the absorbing mechanism of these metamaterial absorbers.

Key words: effective constitutive parameters, metamaterial absorber, negative refraction

中图分类号: (Multilayers; superlattices; photonic structures; metamaterials)

78.67.Pt

81.05.Xj (Metamaterials for chiral, bianisotropic and other complex media) 78.20.Ci (Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity)) 41.20.Jb (Electromagnetic wave propagation; radiowave propagation)

Shaomei Shi(石邵美), Xiaojing Qiao(乔小晶), Shuo Liu(刘朔), and Weinan Liu(刘卫南). Retrieval of the effective constitutive parameters from metamaterial absorbers[J]. 中国物理B, 2021, 30(11): 117803-117803.

Shaomei Shi(石邵美), Xiaojing Qiao(乔小晶), Shuo Liu(刘朔), and Weinan Liu(刘卫南). Retrieval of the effective constitutive parameters from metamaterial absorbers[J]. Chin. Phys. B, 2021, 30(11): 117803-117803.

参考文献

[1] Landy N I, Sajuyigbe S, Mock J J, Smith D R and Padilla W J 2008 Phys. Rev. Lett. 100 207402
[2] Tao H, Landy N I, Bingham C M, Zhang X, Averitt R D and Padilla W J 2008 Opt. Express 16 7181
[3] Liu X L, Starr T, Starr A F and Padilla W J 2010 Phys. Rev. Lett. 104 207403
[4] Aydin K, Ferry V E, Briggs R M and Atwater H A 2011 Nat. Commun. 2 517
[5] Hedayati M K, Zillohu A U, Strunskus T, Faupel F and Elbahri M 2014 Appl. Phys. Lett. 104 041103
[6] Wen Q Y, Xie Y S, Zhang H W, Yang Q H, Li Y X and Liu Y L 2009 Opt. Express 17 20256
[7] Chen H T 2012 Opt. Express 20 7165
[8] Landy N I, Bingham C M, Tyler T, Jokerst N, Smith D R and Padilla W J 2009 Phys. Rev. B 79 6
[9] Smith D R, Schultz S, Markos P and Soukoulis C M 2002 Phys. Rev. B 65 195104
[10] Szabo Z, Park G H, Hedge R and Li E P 2010 IEEE Trans. Microw. Theory Tech. 58 2646
[11] Luukkonen O, Maslovski S I and Tretyakov S A 2011 IEEE Antennas Wirel. Propag. Lett. 10 1295
[12] Smith D R, Vier D C, Koschny T and Soukoulis C M 2005 Phys. Rev. E 71 036617
[13] Holloway C L, Kuester E F and Dienstfrey A 2011 IEEE Antennas Wirel. Propag. Lett. 10 1507
[14] Li Y X, Xie Y S, Zhang H W, Liu Y L, Wen Q Y and Ling W W 2009 J. Phys. D-Appl. Phys. 42 095408
[15] Ye D X, Wang Z, Wang Z Y, Xu K W, Zhang B, Huangfu J T, Li C Z and Ran L X 2012 IEEE Trans. Antennas Propag. 60 5164
[16] Zhang X Q, Xu N N, Qu K N, Tian Z, Singh R, Han J G, Agarwal G S and Zhang W L 2015 Sci. Rep. 5 10737
[17] Han G M 2018 Mater. Res. Express 5 045803
[18] Lee J, Yoon Y J and Lim S 2012 Etri J. 34 126
[19] Wen Y Z, Ma W, Bailey J, Matmon G, Aeppli G and Yu X M 2014 Appl. Phys. Lett. 105 141111
[20] Lee D, Sung H K and Lim S 2016 Appl. Phys. B-Lasers Opt. 122 8
[21] Tak J, Jin Y and Choi J 2016 Microw Opt. Techn. Lett. 58 2052
[22] Astorino M D, Frezza F and Tedeschi N 2017 J. Appl. Phys. 121 063103
[23] Singh D and Srivastava V M 2018 Wirel. Pers. Commun. 104 129
[24] He L H, Shan D Y, He J, Liu S, Ghen Z Q and Xu H 2019 Mod. Phys. Lett. B 33 1950057
[25] Zhang J M, He D L, Wang G W, Wang P, Qiao L, Wang T and Li F S 2019 Chin. Phys. B 28 058401
[26] Zhong M 2020 Opt. Mater. 100 109712
[27] Tao H, Bingham C M, Strikwerda A C, Pilon D, Shrekenhamer D, Landy N I, Fan K, Zhang X, Padilla W J and Averitt R D 2008 Phys. Rev. B 78 241103
[28] Bhattacharyya S and Srivastava K V 2014 J. Appl. Phys. 115 064508
[29] Deng G S, Xia T Y, Yang J and Yin Z P 2018 IET Microw. Antennas Propag. 12 1120
[30] Agarwal M and Meshram M K 2018 AIP Adv. 8 095016
[31] Kalraiya S, Chaudhary R K, Abdalla M A and Gangwar R K 2019 Mater. Res. Express 6 045802
[32] Garg P and Jain P 2020 AEU-Int. J. Electron. Commun. 116 153063
[33] Jain P, Singh A K, Pandey J K, Garg S, Bansal S, Agarwal M, Kumar S, Sardana N and Gupta N 2020 IET Microw. Antennas Propag. 14 390
[34] Chen X, Grzegorczyk T M, Wu B I, Pacheco J and Kong J A 2004 Phys. Rev. E 70 016608
[35] Popa B I and Cummer S A 2012 Phys. Rev. B 85 205101
[36] Xu X H, Liu Y, Gan Y H and Liu W M 2015 Acta Phys. Sin. 64 044101 (in Chinese)

Retrieval of the effective constitutive parameters from metamaterial absorbers

Retrieval of the effective constitutive parameters from metamaterial absorbers

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Hai Yi(易海), Hongjun Zhang(张红军), and Hui Sun(孙辉). Nonreciprocal negative refraction in a dense hot atomic medium[J]. 中国物理B, 2023, 32(4): 44202-044202.
[2]	Tao Wang(汪涛), He-He He(何贺贺), Meng-Di Ding(丁梦迪), Jian-Bo Mao(毛剑波), Ren Sun(孙韧), and Lei Sheng(盛磊). A flexible ultra-broadband metamaterial absorber working on whole K-bands with polarization-insensitive and wide-angle stability[J]. 中国物理B, 2022, 31(3): 37804-037804.
[3]	Wenbo Cao(曹文博), Youquan Wen(温又铨), Chao Jiang(姜超), Yantao Yu(余延涛), Yiyu Wang(王艺宇), Zheyipei Ma(麻哲乂培), Zixiang Zhao(赵子翔), Lanzhi Wang(王兰志), and Xiaozhong Huang(黄小忠). A pure dielectric metamaterial absorber with broadband and thin thickness based on a cross-hole array structure[J]. 中国物理B, 2022, 31(11): 117801-117801.
[4]	张峻铭, 何东霖, 王国武, 王鹏, 乔亮, 王涛, 李发伸. Equivalent electromagnetic parameters for microwave metamaterial absorber using a new symmetry model[J]. 中国物理B, 2019, 28(5): 58401-058401.
[5]	吴奇宣, 赵顺才. Wider frequency domain for negative refraction index in a quantized composite right-left handed transmission line[J]. 中国物理B, 2018, 27(6): 68102-068102.
[6]	王磊, 葛士军, 陈召宪, 胡伟, 陆延青. Bridging the terahertz near-field and far-field observations of liquid crystal based metamaterial absorbers[J]. 中国物理B, 2016, 25(9): 94222-094222.
[7]	布丹丹, 岳春生, 张广求, 胡永涛, 董胜. Broadband, polarization-insensitive, and wide-angle microwave absorber based on resistive film[J]. 中国物理B, 2016, 25(6): 67802-067802.
[8]	胡丹, 王红燕, 汤振杰, 张希威, 鞠琳, 王华英. Design of a multiband terahertz perfect absorber[J]. 中国物理B, 2016, 25(3): 37801-037801.
[9]	S. Alagoz, B. B. Alagoz, A. Sahin, S. Nur. Negative refractions by triangular lattice sonic crystals in partial band gaps[J]. 中国物理B, 2015, 24(4): 46201-046201.
[10]	孙海涛, 程营, 王敬时, 刘晓峻. Wavefront modulation of water surface wave by a metasurface[J]. 中国物理B, 2015, 24(10): 104302-104302.
[11]	林宝勤, 达新宇, 赵尚弘, 蒙文, 李凡, 方英武, 王甲富. Design of a varactor-tunable metamaterial absorber[J]. 中国物理B, 2014, 23(6): 67801-067801.
[12]	马岩冰, 张怀武, 李元勋, 王艺程, 赖伟恩, 李颉. Dual-band and polarization-insensitive terahertz absorber based on fractal Koch curves[J]. 中国物理B, 2014, 23(5): 58102-058102.
[13]	王国栋, 刘明海, 胡希伟, 孔令华, 程莉莉, 陈兆权. Multi-band microwave metamaterial absorber based on coplanar Jerusalem crosses[J]. Chin. Phys. B, 2014, 23(1): 17802-017802.
[14]	Serkan Alagoz, Baris Baykant Alagoz. Theoretical demonstration of hybrid focusing points ofsonic crystal flat lenses and possible applications[J]. 中国物理B, 2013, 22(7): 76201-076201.
[15]	范跃农, 程用志, 聂彦, 王鲜, 龚荣洲. An ultrathin wide-band planar metamaterial absorber based on fractal frequency selective surface and resistive film[J]. 中国物理B, 2013, 22(6): 67801-067801.