Nonsingularity in two-dimensional cylindrical invisible cloaks

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

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 64102-064102.doi: 10.1088/1674-1056/19/6/064102

Nonsingularity in two-dimensional cylindrical invisible cloaks

王新华¹, 王斌科¹, 马华¹, 王甲富¹, 顾超¹, 吴翔¹, 鲁磊¹, 周航¹, 屈绍波², 夏颂³, 徐卓³

(1)College of Science, Air Force Engineering University, Xi'an 710051, China; (2)College of Science, Air Force Engineering University, Xi'an 710051, China;Electronic Materials Research Laboratory, Key Laboratory of Ministry of Education, Xi'an Jiaotong University, Xi'an 710049, China; (3)Electronic Materials Research Laboratory, Key Laboratory of Ministry of Education, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2009-07-20 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
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

Nonsingularity in two-dimensional cylindrical invisible cloaks

Wang Xin-Hua(王新华)^a)†, Qu Shao-Bo(屈绍波)^a)b)‡, Xia Song(夏颂)^b), Wang Bin-Ke(王斌科)^a), Xu Zhuo(徐卓)^b), Ma Hua(马华)^a), Wang Jia-Fu(王甲富)^a), Gu Chao(顾超)^a), Wu Xiang(吴翔)^a), Lu Lei(鲁磊)^a), and Zhou Hang(周航)^a)

^a College of Science, Air Force Engineering University, Xi'an 710051, China; ^b Electronic Materials Research Laboratory, Key Laboratory of Ministry of Education, Xi'an Jiaotong University, Xi'an 710049, China

Received:2009-07-20 Online:2010-06-15 Published:2010-06-15
Supported by:
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

摘要/Abstract

摘要： 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.

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.

Key words: invisible cloak, arbitrary shapes, singularity, constitutive material parameters

中图分类号: (Classical electromagnetism, Maxwell equations)

03.50.De

02.70.Dh (Finite-element and Galerkin methods)

王新华, 屈绍波, 夏颂, 王斌科, 徐卓, 马华, 王甲富, 顾超, 吴翔, 鲁磊, 周航. Nonsingularity in two-dimensional cylindrical invisible cloaks[J]. 中国物理B, 2010, 19(6): 64102-064102.

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[J]. Chin. Phys. B, 2010, 19(6): 64102-064102.

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Nonsingularity in two-dimensional cylindrical invisible cloaks

Nonsingularity in two-dimensional cylindrical invisible cloaks

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