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
刊名	INVERSE PROBLEMS
	2010-12-01
卷号	26 期号:12 页码:19
ISSN号	0266-5611
DOI	10.1088/0266-5611/26/12/125001
英文摘要	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.
资助项目	NNSF of China[11071244]
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000284461400001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9788]
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.