Uniqueness in the inverse scattering problem in a piecewise homogeneous medium

doi:10.1088/0266-5611/26/1/015002

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	Uniqueness in the inverse scattering problem in a piecewise homogeneous medium
	Liu, Xiaodong1 ; Zhang, Bo; Hu, Guanghui
	2010
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	26 期号:1 页码:14
摘要	The scattering of time-harmonic acoustic plane waves by an impenetrable obstacle in a piecewise homogeneous medium is considered. Having established the well posedness of the direct problem by the variational method, we prove a uniqueness result for the inverse problem, that is, the unique determination of the obstacle and its boundary condition from a knowledge of the far-field pattern for incident plane waves. The proof is based on a generalization of the mixed reciprocity relation.
DOI	10.1088/0266-5611/26/1/015002
语种	英语
资助项目	Chinese Academy of Sciences ; NNSF of China[10671201]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000272846400002
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/10700
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, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaodong,Zhang, Bo,Hu, Guanghui. Uniqueness in the inverse scattering problem in a piecewise homogeneous medium[J]. INVERSE PROBLEMS,2010,26(1):14.
APA	Liu, Xiaodong,Zhang, Bo,&Hu, Guanghui.(2010).Uniqueness in the inverse scattering problem in a piecewise homogeneous medium.INVERSE PROBLEMS,26(1),14.
MLA	Liu, Xiaodong,et al."Uniqueness in the inverse scattering problem in a piecewise homogeneous medium".INVERSE PROBLEMS 26.1(2010):14.