A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium

doi:10.1080/00036810903277168

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	A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium
	Liu, Xiaodong; Zhang, Bo1
	2009
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	88 期号:9 页码:1339-1355
摘要	The scattering of time-harmonic electromagnetic plane waves by an impenetrable obstacle in a piecewise homogeneous medium is considered. The well-posedness of the direct problem is proved by the variational method. Under the condition that the wave numbers in the innermost and outermost homogeneous layers coincide, we then establish a uniqueness result for the inverse problem, that is, the unique determination of the obstacle and its boundary condition from a knowledge of the electric far field pattern for incident plane waves. The proof is based on a generalization of the mixed reciprocity relation.
关键词	uniqueness piecewise homogeneous medium Holmgren's uniqueness theorem inverse electromagnetic scattering
DOI	10.1080/00036810903277168
语种	英语
资助项目	Chinese Academy of Sciences through the Hundred Talents Program ; NNSF of China[10671201]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000271507600006
出版者	TAYLOR & FRANCIS 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/8429
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Chinese Acad Sci, AMSS, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaodong,Zhang, Bo. A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium[J]. APPLICABLE ANALYSIS,2009,88(9):1339-1355.
APA	Liu, Xiaodong,&Zhang, Bo.(2009).A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium.APPLICABLE ANALYSIS,88(9),1339-1355.
MLA	Liu, Xiaodong,et al."A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium".APPLICABLE ANALYSIS 88.9(2009):1339-1355.