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Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data
Liu, Hongyu1; Liu, Xiaodong2
2017-06-01
Source PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume33Issue:6Pages:20
AbstractWe 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.
Keywordinverse acoustic scattering obstacle medium unique identifiability simultaneous formally determined
DOI10.1088/1361-6420/aa6770
Language英语
Funding ProjectFRG 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 Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000399819800002
PublisherIOP PUBLISHING LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/438
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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