Nonsingularity in two-dimensional cylindrical invisible cloaks

doi:10.1088/1674-1056/19/6/064102

Abstract The method of designing electromagnetic invisible cloaks is usually based on the form-invariance of Maxwell's equations in coordinate transformation. The exterior boundary of a cylindrical invisible cloak is unchanged and the interior boundary is extended from that of a point to that of a cylindrical region in coordination transformation. This transformation process makes perfect cloaks, but it causes singularity in the constitutive material parameters of cloaks. This singularity makes the cloaks impossible to realize in practice. In order to remove this singularity, this paper sets a small cylindrical region replacing a point in the space transformation. The cylindrical region is so small that it does not affect the invisibility effects, but it can remove the singularity for material parameters. Full wave simulations based on the finite element method were used to verify the designed cloaks.

Keywords: invisible cloak arbitrary shapes singularity constitutive material parameters

Received: 20 July 2009
Accepted manuscript online:

PACS:	03.50.De	(Classical electromagnetism, Maxwell equations)
	02.70.Dh	(Finite-element and Galerkin methods)

Fund: Project supported partly by the National Natural Science Foundation of China (Grant Nos.~50632030, 10474077, and 60871027), partly by the National Basic Research Program of China (Grant No.~2009CB613306), and partly by the Natural Science Foundation of Sh

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Wang Xin-Hua(王新华), Qu Shao-Bo(屈绍波), Xia Song(夏颂), Wang Bin-Ke(王斌科), Xu Zhuo(徐卓), Ma Hua(马华), Wang Jia-Fu(王甲富), Gu Chao(顾超), Wu Xiang(吴翔), Lu Lei(鲁磊), and Zhou Hang(周航) Nonsingularity in two-dimensional cylindrical invisible cloaks 2010 Chin. Phys. B 19 064102

[1]	Pendry J B, Schurig D and Smith D R 2006 Science 312 1780
[2]	Leonhardt U 2006 Science 312 1777
[3]	Cummer S A, Popa B I , Schurig D, Smith D R and Pendry J B 2006 Phys. Rev . E 74 036621
[4]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F and Smith D R 2006 Science 314 977
[5]	Rahm M, Schurig D, Roberts D A, Cummer S A and Smith D R 2006 Photon. Nanostruc. Fundam. Appl . 6 87
[6]	Schurig D, Pendry J B and Smith D R 2006 Opt. Express 14 9794
[7]	Liu P K, Su X B and Xiao L 2006 Acta Phys. Sin. 55 2152 (in Chinese)
[8]	Ma H, Qu S B, Xu Z, Zhang J Q, Chen B W and Wang J F 2008 Phys. Rev . A 77 013825
[9]	Kwon D and Werner D H 2008 Appl. Phys. Lett . 92 013505
[10]	Jiang W X, Cui T J, Yu G X, Lin X Q, Cheng Q and Chin J Y 2008 J. Phys . D: Appl. Phys. 41 085504
[11]	Yan W, Yan M, Ruan Z and Qiu M 2008 New J. Phys . 10 043040
[12]	Ma H, Qu S B, Wang J F, Xu Z and Zhang J Q 2009 Chin. Phys. B 18 1850
[13]	Ma H, Qu S B, Wang J F, Xu Z and Zhang J Q 2009 Chin. Phys. B 18 179
[14]	Li L W, Meng F Y, Wu Q and Zhang K 2009 Acta Phys. Sin. 58 1619 (in Chinese)
[15]	Li C and Li F 2008 Opt. Express 16 13414
[16]	Ma H, Qu S B, Xu Z and Wang J F 2008 Phys. Rev . E 78 036608
[17]	Ma H, Qu S B, Xu Z and Wang J F 2008 Opt. Express 16 15449
[18]	Jiang W X, Chin J Y, Li Z, Cheng Q, Liu R and Cui T J 2008 Phys. Rev . E 77 066607
[19]	Nicolet A, Zolla F and Guenneau S 2008 Opt. Lett. 33 1584
[20]	Hu J, Zhou X and Hu G K 2009 Opt. Express 17 1308
[21]	Chen X, Fu Y and Yuan N C 2009 Opt. Express 17 3581
[22]	Jiang W X, Cui T J, Yang X M and Cheng Q 2008 Appl. Phys. Lett. 93 194102
[23]	Zhang P, Jin Y and He S L 2008 Appl. Phys. Lett. 93 243502

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