The inverse electromagnetic scattering problem in a piecewise homogeneous medium

doi:10.1088/0266-5611/26/12/125001

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	The inverse electromagnetic scattering problem in a piecewise homogeneous medium
	Liu, Xiaodong1 ; Zhang, Bo; Yang, Jiaqing
	2010-12-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	26 期号:12 页码:19
摘要	This paper is concerned with the problem of scattering of time-harmonic electromagnetic waves from an impenetrable obstacle in a piecewise homogeneous medium. The well-posedness of the direct problem is established, employing the integral equation method. In Liu and Zhang (2009 Appl. Anal. 88 1339-55) it was proved, under the condition that the wave numbers in the innermost and outermost homogeneous layers coincide and S(0) is known in advance, that the obstacle with its physical property can be uniquely determined from knowledge of the electric far-field pattern for incident plane waves. In this paper, we will remove this restriction by establishing a new mixed reciprocity relation. Furthermore, inspired by Hahner's idea in Hahner (1993 Inverse Problems 9 667-78), we prove that the penetrable interface between layers can also be uniquely determined.
DOI	10.1088/0266-5611/26/12/125001
语种	英语
资助项目	NNSF of China[11071244]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000284461400001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9789
专题	应用数学研究所
通讯作者	Liu, Xiaodong
作者单位	1.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaodong,Zhang, Bo,Yang, Jiaqing. The inverse electromagnetic scattering problem in a piecewise homogeneous medium[J]. INVERSE PROBLEMS,2010,26(12):19.
APA	Liu, Xiaodong,Zhang, Bo,&Yang, Jiaqing.(2010).The inverse electromagnetic scattering problem in a piecewise homogeneous medium.INVERSE PROBLEMS,26(12),19.
MLA	Liu, Xiaodong,et al."The inverse electromagnetic scattering problem in a piecewise homogeneous medium".INVERSE PROBLEMS 26.12(2010):19.