基于线变换的椭圆柱外隐身斗篷的设计研究

王战; 董建峰; 刘锦景; 罗孝阳

doi:10.7498/aps.61.204101

摘要

基于线变换方法与互补媒质理论提出了线变换下的椭圆柱外隐身斗篷, 并得到了相应外隐身斗篷材料本构参数张量的表达式.根据导出的本构参数张量, 利用电磁仿真软件分别对不同长度线段的外斗篷进行了仿真验证,仿真结果证实了所得到的本构参数张量的正确性.这种外斗篷的材料参数只在轴向变化,横向参数为常数,易于用超介质制备. 考虑到损耗对隐身效果的影响,得到了引入损耗后的外斗篷磁场分布.最后给出了本构参数的分布. 本文的研究为利用超介质制备外隐身斗篷提供了一种新的可行的方法.

关键词:

Abstract

Electromagnetic external cloak is an important device, which can make an object outside its domain invisible, meanwhile the object can exchange information with the outer region. Based on line-transformation and the concept of complementary medium, an elliptical cylindrical external cloak with only axial parameter changed is designed in this paper. The expressions of material parameters are derived, and then the performance of the elliptical cylindrical external cloak is simulated using the full wave simulation software. The results obtained confirm the correctness of constitutive parameters tensor. In addition, the effects of loss on performation of external cloak are investigated. Finally, the distribution of constitutive tensors is also investigated. This work provide a feasible way to fabricate matematerial-assisted elliptical cylindcial external cloak.

Keywords:

作者及机构信息

1.
宁波大学光纤通信与网络技术研究所, 宁波 315211

基金项目: 国家自然科学基金(批准号: 61078060);浙江省自然科学基金(批准号: Y1091139);宁波市科技创新团队(批准号: 2009B21007)和宁波大学王宽诚幸福基金资助的课题.

Authors and contacts

1.
Institute of Optical Fiber Communication and Network Technology, Ningbo University, Ningbo 315211, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61078060), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y1091139), the Innovative Research Team Program of Ningbo, China (Grant No. 2009B21007), and the K. C. Wong Magna Fund in Ningbo University, China.

参考文献

[1]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[2]	Cummer S A, Popa B I, Schurig D, Smith D R 2006 Phys. Rev. E 74 036621
[3]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[4]	Jiang W X, Ma H F, Cheng Q, Cui T J 2010 J. Appl. Phys. 107 034911
[5]	Wu Q, Zhang K, Meng F Y, Li L W 2009 Acta Phys. Sin. 58 1619 (in Chinese) [吴群, 张狂, 孟繁义, 李乐伟 2009 物理学报 58 1619]
[6]	Wu Q, Zhang K, Meng F Y, Li L W 2010 Acta Phys. Sin. 59 6071 (in Chinese) [吴群, 张狂, 孟繁义, 李乐伟 2010 物理学报 59 6071]
[7]	Jiang W X, Cui T J, Yu G X, Lin X Q, Cheng Q, Chin J Y 2008 J. Phys. D: Appl. Phys. 41 085504
[8]	Huang L J, Zhou D M, Wang J, Li Z F, Chen X S, Lu W 2011 J. Phys. D: Appl. Phys. 44 235102
[9]	Gu C, Qu S B, Pei Z B, Xu Z, Liu J, Gu W 2011 Acta Phys. Sin. 60 027801 (in Chinese) [顾超, 屈绍波, 裴志斌, 徐卓, 刘嘉, 顾巍 2011 物理学报 60 027801]
[10]	Huang L J, Zhou D M, Wang J, Li Z F, Chen X S, Lu W 2011 J. Opt. Soc. Am. B 28 922
[11]	Huang L J, Zhou D M, Wang J, Li Z F, Chen X S, Lu W 2011 Opt. Commun. 284 5523
[12]	Lai Y, Chen H Y, Zhang Z Q, Chan C T 2009 Phys. Rev. Lett. 102 093901
[13]	Han T C, Tang X H, Xiao F 2009 J. Phys. D: Appl. Phys. 42 235403
[14]	Yang C F, Yang J J, Huang M, Xiao Z, Peng J H 2011 Opt. Express 19 1147
[15]	Li T H, Huang M, Yang J J, Yao Y P, Yu J 2011 Opt. Mat. Express 1 911

施引文献

[1]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[2]	Cummer S A, Popa B I, Schurig D, Smith D R 2006 Phys. Rev. E 74 036621
[3]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[4]	Jiang W X, Ma H F, Cheng Q, Cui T J 2010 J. Appl. Phys. 107 034911
[5]	Wu Q, Zhang K, Meng F Y, Li L W 2009 Acta Phys. Sin. 58 1619 (in Chinese) [吴群, 张狂, 孟繁义, 李乐伟 2009 物理学报 58 1619]
[6]	Wu Q, Zhang K, Meng F Y, Li L W 2010 Acta Phys. Sin. 59 6071 (in Chinese) [吴群, 张狂, 孟繁义, 李乐伟 2010 物理学报 59 6071]
[7]	Jiang W X, Cui T J, Yu G X, Lin X Q, Cheng Q, Chin J Y 2008 J. Phys. D: Appl. Phys. 41 085504
[8]	Huang L J, Zhou D M, Wang J, Li Z F, Chen X S, Lu W 2011 J. Phys. D: Appl. Phys. 44 235102
[9]	Gu C, Qu S B, Pei Z B, Xu Z, Liu J, Gu W 2011 Acta Phys. Sin. 60 027801 (in Chinese) [顾超, 屈绍波, 裴志斌, 徐卓, 刘嘉, 顾巍 2011 物理学报 60 027801]
[10]	Huang L J, Zhou D M, Wang J, Li Z F, Chen X S, Lu W 2011 J. Opt. Soc. Am. B 28 922
[11]	Huang L J, Zhou D M, Wang J, Li Z F, Chen X S, Lu W 2011 Opt. Commun. 284 5523
[12]	Lai Y, Chen H Y, Zhang Z Q, Chan C T 2009 Phys. Rev. Lett. 102 093901
[13]	Han T C, Tang X H, Xiao F 2009 J. Phys. D: Appl. Phys. 42 235403
[14]	Yang C F, Yang J J, Huang M, Xiao Z, Peng J H 2011 Opt. Express 19 1147
[15]	Li T H, Huang M, Yang J J, Yao Y P, Yu J 2011 Opt. Mat. Express 1 911

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