Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data

doi:10.1088/1361-6420/aa6770

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	Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data
	Liu, Hongyu 1; Liu, Xiaodong2
	2017-06-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	33 期号:6 页码:20
摘要	We consider an inverse acoustic scattering problem in simultaneously recovering an embedded obstacle and its surrounding inhomogeneous medium from formally determined far-field data. It is shown that knowledge of the scattering amplitude with a fixed incident direction and all observation angles along with frequencies from an open interval can be used to uniquely identify the embedded obstacle, sound-soft or sound-hard, irrepective of the surrounding medium. Furthermore, if the surrounding inhomogeneous medium is from an admissible class (still general), then the medium can be recovered as well. Our argument is based on deriving certain integral identities involving the unknowns and then inverting them by certain harmonic analysis techniques. Finally, based on our theoretical study, a fast and robust sampling method is proposed to reconstruct the shape and location of the buried targets and the support of the surrounding inhomogeneities.
关键词	inverse acoustic scattering obstacle medium unique identifiability simultaneous formally determined
DOI	10.1088/1361-6420/aa6770
语种	英语
资助项目	FRG fund from Hong Kong Baptist University ; Hong Kong RGC grants[12302415] ; Hong Kong RGC grants[405513] ; NNSF of China[11371115] ; NNSF of China[11571355] ; NNSF of China[61379093] ; NNSF of China[91430102]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000399819800002
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/438
专题	应用数学研究所
通讯作者	Liu, Xiaodong
作者单位	1.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Hongyu,Liu, Xiaodong. Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data[J]. INVERSE PROBLEMS,2017,33(6):20.
APA	Liu, Hongyu,&Liu, Xiaodong.(2017).Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data.INVERSE PROBLEMS,33(6),20.
MLA	Liu, Hongyu,et al."Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data".INVERSE PROBLEMS 33.6(2017):20.