Design and simulation of a cross split ring lefthanded materials unit structure
Yang Chen, Zhang Hong-Xin, Wang Hai-Xia, Xu Nan, Xu Yuan-Yuan, Huang Li-Yu, Zhang Ke-Xin
Beijing Key Laboratory of Work Safety Intelligent Monitoring, School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
In this paper, we present a novel compact left-handed material unit, which can generate the equivalent negative permittivity and negative permeability in the two-dimensional direction only by etching one side of the dielectric substrate. We propose a new formula for calculating the field and circuit to analyze the equivalent permittivity and the equivalent permeability that are used to explain the principle of the left-handed characteristic of the unit. In the simulation, the equivalent permittivity and permeability are calculated by the Nicolson-Ross-Weir method, and the negative refraction is verified by the prism experiment. The experiments show that the cross-ring structure unit can present left-handed properties with frequency bands appearing at 6.8–6.9 GHz in the two-dimensional incidence. The left-handed material can be used to design microwave field for its simple fabrication process.
Project supported by the National Natural Science Foundation of China (Grant Nos. 60871081, 61072136) and the Natural Science Foundation of Beijing, China (Grant No. 4112039).
Yang Chen,Zhang Hong-Xin,Wang Hai-Xia et al. Design and simulation of a cross split ring lefthanded materials unit structure. Acta Phys. Sin, 2012, 61(16): 164101.
Pendry J B, Holden A J, Stewart W J, Youngs I 1996 Phys. Rev. Lett. 76 4773
[3]
Pendry J B, Holden A J, Robbins D J, Stewart W J 1998 J. Phys.: Condens. Matter 10 4785
[4]
Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theory Tech. 47 2075
[5]
Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[6]
Brien S O, Pendry J B 2002 J. Phys.: Condens. Matter 14 6383
[7]
Hangfu J T, Ran L X, Chen H S, Zhang X M, Chen K S, Grzegorczyk T M, Kong J A 2004 Appl. Phys. Lett. 84 1537
[8]
Chen H S, Ran L X, Huangfu J T, Zhang X M, Chen K S 2004 Phys. Rev. E 70 057605
[9]
Zhou J F, Koschny T, Zhang L, Tuttle G, Soukoulis C M 2006 Appl. Phys. Lett. 88 221103
[10]
Ziolkowski R W 2003 IEEE Trans. Ante. Prop. 51 1516
[11]
Meng F Y 2007 Ph. D. Dissertation (Harbin: Harbin Institute of Technology) (in Chinese) [孟繁义 2007 博士学位论文 (哈尔滨: 哈尔滨工业大学)]
[12]
Wang H X, Lü Y H, Zhang H X, Wu Y L 2011 Acta Phys. Sin. 60 034101 (in Chinese) [王海侠, 吕英华, 张洪欣, 吴艳玲 2011 物理学报 60 034101]
[13]
Cui W Z, Ma W, Qiu L D, Zhang H T 2008 Electromagnetic Metamaterials and its Applications (Beijing: National Defense Industry Press) (in Chinese) [崔万照, 马伟, 邱乐德, 张洪太 2008 电磁超介质及其应用 (北京:国防工业出版社)]
[14]
Zhang S, Ge D B, Zhang Y Q, Wei B 2009 High Power Laser and Particle Beams 21 1370 (in Chinese) [张劭, 葛德斌, 张玉强, 魏兵 2009强激光与粒子束 21 1370]
[15]
Chen C H, Qu S B, Xu Z, Wang J F, Ma H, Zhou H 2011 Acta Phys. Sin. 60 024101 (in Chinese) [陈春晖, 屈绍波, 徐卓, 王甲富, 马华, 周航 2011 物理学报 60 024101]
[16]
Yang Y M, Qu S B, Wang J F, Zhao J B, Bai P, Li Z, Xia S, Xu Z 2011 Acta Phys. Sin. 60 074201 (in Chinese) [杨一鸣, 屈绍波, 王甲富, 赵静波, 柏鹏, 李哲, 夏颂, 徐卓 2011 物理学报 60 074201]
[17]
Zhang S, Qu S B, Ma H, Xie F, Xu Z 2009 Acta Phys. Sin. 58 3961 (in Chinese) [张松, 屈绍波, 马华, 谢峰, 徐卓 2009 物理学报 58 3961]
[18]
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 物理学报 56 5883]