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Two-Dimensional (2D) Polygonal Electromagnetic Cloaks
引用本文:李超,姚侃,李芳. Two-Dimensional (2D) Polygonal Electromagnetic Cloaks[J]. 中国物理快报, 2009, 26(6): 131-134
作者姓名:李超  姚侃  李芳
作者单位:Institute of Electronics, Chinese Academy of Sciences, Beijing 100190
基金项目:Supported by the National Natural Science Foundation of China under Grant No 60501018, the National Basic Research Program of China under Grant No 2004CB719800, and the Knowledge Innovation Program of Chinese Academy of Sciences.
摘    要:Transformation optics offers remarkable control over electromagnetic fields and opens an exciting gateway to design 'invisible cloak devices' recently. We present an important class of two-dimensional (2D) cloaks with polygon geometries. Explicit expressions of transformed medium parameters are derived with their unique properties investigated. It is found that the elements of diagonalized permittivity tensors are always positive within an irregular polygon cloak besides one element diverges to plus infinity and the other two become zero at the inner boundary. At most positions, the principle axes of permittivity tensors do not align with position vectors. An irregular polygon cloak is designed and its invisibility to external electromagnetic waves is numerically verified. Since polygon cloaks can be tailored to resemble any objects, the transformation is finally generalized to the realization of 2D cloaks with arbitrary geometries.

关 键 词:多边形  电磁场  外衣  二维  平面  网关设计  介电常数  几何形状
收稿时间:2008-10-06

Two-Dimensional (2D) Polygonal Electromagnetic Cloaks
LI Chao,YAO Kan,LI Fang. Two-Dimensional (2D) Polygonal Electromagnetic Cloaks[J]. Chinese Physics Letters, 2009, 26(6): 131-134
Authors:LI Chao  YAO Kan  LI Fang
Affiliation:Institute of Electronics, Chinese Academy of Sciences, Beijing 100190
Abstract:Transformation optics offers remarkable control over electromagnetic fields and opens an exciting gateway to design `invisible cloak devices' recently. We present an important class of two-dimensional (2D) cloaks with polygon geometries. Explicit expressions of transformed medium parameters are derived with their unique properties investigated. It is found that the elements of diagonalized permittivity tensors are always positive within an irregular polygon cloak besides one element diverges to plus infinity and the other two become zero at the inner boundary. At most positions, the principle axes of permittivity tensors do not align with position vectors. An irregular polygon cloak is designed and its invisibility to external electromagnetic waves is numerically verified. Since polygon cloaks can be tailored to resemble any objects, the transformation is finally generalized to the realization of 2D cloaks with arbitrary geometries
Keywords:42.79.-e  42.25.Fx  42.25.Gy  41.20.Jb
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