光频三维各向同性左手超材料结构单元模型的仿真设计

龚伯仪; 周欣; 赵晓鹏

doi:10.7498/aps.60.044101

摘要

基于树枝结构单元思想,提出了光频三维各向同性左手超材料球刺结构单元模型.采用金属的Drude原理,运用等效媒质理论,仿真研究了结构的电磁响应特性.在晶格间距与工作波长的比值满足等效媒质理论要求的前提下,通过调节结构单元的几何参数,发现它能在光波段出现介电常数和磁导率同时为负值的区域,实现折射率小于零的左手超材料响应特性.该模型结构简单,具有各向同性特点.研究结果为采用"由下向上"方法制备光波段的三维左手超材料指出了新的途径.

关键词:

球刺模型 /
光波段 /
三维 /
各向同性

Abstract

In this paper, we design a three-dimensional isotropic left-handed metamaterial (LHM) composed of sphere-thorn shaped cells at visible frequencies. Adopting the metallic Drude's principle, we simulate and study its transmission properties for the incident plane electromagnetic wave. The dimension of unit cell here is far below the resonant wavelength, and thus the effective medium theory is well satisfied. With appropriate geometric parameters, this structure can realize negative refractive index with simultaneous negative permittivity and permeability at visible frequencies. The LHM proposed in this paper has advantages of simplicity and isotropy, moreover, our numerical model provides a new method for 'top-to-bottom’approach to preparing visible three-dimensional metamaterials.

Keywords:

作者及机构信息

1.
西北工业大学理学院智能材料实验室,西安 710129

基金项目: 国家自然科学基金(批准号:50632030,50872113,50936002) 资助的课题.

Authors and contacts

1.
Smart Materials Laboratory, Northwestern Polytechnical University, Xi’an 710129 , China

参考文献

[1]	Veselago V G 1967 Usp. Fiz. Nauk 92 517
[2]	Veselago V G 1968 Sov. Phys. Usp. 10 509
[3]	Houck A A, Brock J B, Chuang I L 2003 Phys. Rev. lett. 90 137401
[4]	Parazzoli C G, Greegor R B, Li K, Koltenbah B E C 2003 Phys. Rev. Lett. 90 107401
[5]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[6]	Grbic A, Eleftheriades G V 2002 J. Appl. Phys. 91 5930
[7]	Shelby R A, Smith D R, Schulrz S 2001 Science 292 77
[8]	Zhang B, Wang Z 2007 Acta Phys. Sin. 56 1404 (in Chinese) [张波、王智 2007 56 1404]
[9]	Dong J W, Hu X H, Wang H Z 2007 Chin. Phys. 16 1057
[10]	Wang Z D, Liu N H 2009 Acta Phys. Sin. 58 559 (in Chinese) [王振德、刘念华 2009 58 559]
[11]	Wu J F, Sun M Z, Zhang C M 2009 Acta Phys. Sin. 58 3844 (in Chinese) [吴俊芳、孙明昭、张淳民 2009 58 3844]
[12]	Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. lett. 76 25
[13]	Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. MTT 47 2075
[14]	Zhang C M, Sun M Z, Yuan Z L, Song X P 2009 Acta Phys. Sin. 58 1758 (in Chinese) [张淳民、孙明昭、袁志林、宋晓平 2009 58 1758]
[15]	Chen H Sh, Ran L X, Huang fu J T, Zhang X M, Chen K S 2004 Phys. Rev. E 70 057605
[16]	Huangfu J T, Ran L, Chen H, Zhang X, Chen K, Grzegorczyk T M, Kong J A 2004 Appl. Phys. Lett . 84 1357
[17]	Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红、罗春荣、赵晓鹏 2007 56 5883]
[18]	Yan C C, Cui Y P, Wang Q, Zhuo S C 2008 Chin. Phys. Lett. 25 482
[19]	Meng F Y, Wu Q, Jin B Sh, Wang H L, Wu J 2006 Acta Phys. Sin. 55 4514 (in Chinese) [孟繁义、吴群、金博识、王海龙、吴健 2006 55 4514]
[20]	Zhou X, Fu Q H, Zhao J, Yang Y, Zhao X P 2006 Opt. Express 14 7188
[21]	Liu H, Zhao X P, Yang Y, Li Q W, Lv J 2008 Adv. Mater. 20 2050
[22]	Liu B Q, Zhao X P, Zhu W R, Luo W, Cheng X C 2008 Adv. Funct. Mater. 18 3523
[23]	Dolling G, Enkrich C, Wegener M, Soukoulis C M, Linden S 2006 Opt. Lett. 31 1800
[24]	Povinelli M L, Johnson S G, Joannopoulos J D 2003 Appl. Phys. Lett. 82 1069
[25]	Smith D R, Pendry J B 2006 J. Opt. Soc. Am. B 23 391
[26]	Yan C C, Cui Y P, Wang Q, Zhuo S C 2008 Chin. Phys. Lett. 25 482
[27]	Wang F M, Liu H, Li T, Dong Z G, Zhu S N,Zhang X 2007 Phys. Rev. E 75 016604

施引文献

[1]	Veselago V G 1967 Usp. Fiz. Nauk 92 517
[2]	Veselago V G 1968 Sov. Phys. Usp. 10 509
[3]	Houck A A, Brock J B, Chuang I L 2003 Phys. Rev. lett. 90 137401
[4]	Parazzoli C G, Greegor R B, Li K, Koltenbah B E C 2003 Phys. Rev. Lett. 90 107401
[5]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[6]	Grbic A, Eleftheriades G V 2002 J. Appl. Phys. 91 5930
[7]	Shelby R A, Smith D R, Schulrz S 2001 Science 292 77
[8]	Zhang B, Wang Z 2007 Acta Phys. Sin. 56 1404 (in Chinese) [张波、王智 2007 56 1404]
[9]	Dong J W, Hu X H, Wang H Z 2007 Chin. Phys. 16 1057
[10]	Wang Z D, Liu N H 2009 Acta Phys. Sin. 58 559 (in Chinese) [王振德、刘念华 2009 58 559]
[11]	Wu J F, Sun M Z, Zhang C M 2009 Acta Phys. Sin. 58 3844 (in Chinese) [吴俊芳、孙明昭、张淳民 2009 58 3844]
[12]	Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. lett. 76 25
[13]	Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. MTT 47 2075
[14]	Zhang C M, Sun M Z, Yuan Z L, Song X P 2009 Acta Phys. Sin. 58 1758 (in Chinese) [张淳民、孙明昭、袁志林、宋晓平 2009 58 1758]
[15]	Chen H Sh, Ran L X, Huang fu J T, Zhang X M, Chen K S 2004 Phys. Rev. E 70 057605
[16]	Huangfu J T, Ran L, Chen H, Zhang X, Chen K, Grzegorczyk T M, Kong J A 2004 Appl. Phys. Lett . 84 1357
[17]	Liu Y H, Luo C R, Zhao X P 2007 Acta Phys. Sin. 56 5883 (in Chinese) [刘亚红、罗春荣、赵晓鹏 2007 56 5883]
[18]	Yan C C, Cui Y P, Wang Q, Zhuo S C 2008 Chin. Phys. Lett. 25 482
[19]	Meng F Y, Wu Q, Jin B Sh, Wang H L, Wu J 2006 Acta Phys. Sin. 55 4514 (in Chinese) [孟繁义、吴群、金博识、王海龙、吴健 2006 55 4514]
[20]	Zhou X, Fu Q H, Zhao J, Yang Y, Zhao X P 2006 Opt. Express 14 7188
[21]	Liu H, Zhao X P, Yang Y, Li Q W, Lv J 2008 Adv. Mater. 20 2050
[22]	Liu B Q, Zhao X P, Zhu W R, Luo W, Cheng X C 2008 Adv. Funct. Mater. 18 3523
[23]	Dolling G, Enkrich C, Wegener M, Soukoulis C M, Linden S 2006 Opt. Lett. 31 1800
[24]	Povinelli M L, Johnson S G, Joannopoulos J D 2003 Appl. Phys. Lett. 82 1069
[25]	Smith D R, Pendry J B 2006 J. Opt. Soc. Am. B 23 391
[26]	Yan C C, Cui Y P, Wang Q, Zhuo S C 2008 Chin. Phys. Lett. 25 482
[27]	Wang F M, Liu H, Li T, Dong Z G, Zhu S N,Zhang X 2007 Phys. Rev. E 75 016604

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