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三维椭球隐身条件的严格推导及其隐身特性验证
引用本文:吴群,张狂,孟繁义,李乐伟. 三维椭球隐身条件的严格推导及其隐身特性验证[J]. 海洋学报, 2010, 32(9): 6071-6077
作者姓名:吴群  张狂  孟繁义  李乐伟
作者单位:哈尔滨工业大学电子与信息工程院,哈尔滨 150001;哈尔滨工业大学电子与信息工程院,哈尔滨 150001;哈尔滨工业大学电子与信息工程院,哈尔滨 150001;哈尔滨工业大学电子与信息工程院,哈尔滨 150001;新加坡国立大学电气与计算机工程系,新加坡 119260
基金项目:国家自然科学基金(批准号:60971064,60801015),教育部博士点基金(批准号:20070213058),中国博士后科学基金(批准号:20070420158)资助的课题.
摘    要:基于坐标变换理论,提出并推导了任意轴比下三维椭球的隐身条件,得到了相应隐身罩材料本构参数张量的通解表达式.根据导出的本构参数张量,利用电磁仿真软件分别对不同轴比的三个典型算例进行仿真验证.仿真结果证实了所导出的本构参数张量的正确性.这些分析结果为隐身物理机理的进一步理解,以及三维隐身罩的设计奠定了更充分的理论基础.

关 键 词:三维椭球隐身罩  坐标变换  非均匀各向异性介质  本构参数张量

Derivation of three-dimensional axiolitic cloak and the invisibility verification
Wu Qun,Zhang Kuang,Meng Fan-Yi and Li Le-Wei. Derivation of three-dimensional axiolitic cloak and the invisibility verification[J]. Acta Oceanologica Sinica (in Chinese), 2010, 32(9): 6071-6077
Authors:Wu Qun  Zhang Kuang  Meng Fan-Yi  Li Le-Wei
Affiliation:Department of Electronic and Communications Engineering, Harbin Institute of Technology, Harbin 150001, China;Department of Electronic and Communications Engineering, Harbin Institute of Technology, Harbin 150001, China;Department of Electronic and Communications Engineering, Harbin Institute of Technology, Harbin 150001, China;Department of Electronic and Communications Engineering, Harbin Institute of Technology, Harbin 150001, China;Department of Electrical and Computer Engineering, National University of Singapore, Singapore 119260, Singapore
Abstract:Arbitrary three-dimensional axiolitic cloaks are proposed and designed based on the coordinate transformation theory. The general expressions of constitutive tensors of the cloak are derived, and then some full-wave simulations of the cloaks based on the constitutive tensors that we derived are performed. The results of full-wave simulations validate the general expressions of constitutive tensors of the three-dimensional axiolitic cloaks.
Keywords:three-dimensional axiolitic cloak  coordinate transformation  anisotropic and inhomogeneous metamaterial  constitutive tensor
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