A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE

doi:10.3934/ipi.2021036

	A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE
	Li, Jianliang 5; Yang, Jiaqing 4; Zhang, Bo 1,2,3
刊名	INVERSE PROBLEMS AND IMAGING
	2021-10-01
卷号	15 期号:5 页码:1247-1267
关键词	locally rough interface Lippmann-Schwinger integral equation the linear sampling method Inverse acoustic scattering
ISSN号	1930-8337
DOI	10.3934/ipi.2021036
英文摘要	This paper is concerned with the inverse problem of time-harmonic acoustic scattering by an unbounded, locally rough interface which is assumed to be a local perturbation of a plane. The purpose of this paper is to recover the local perturbation of the interface from the near-field measurement given on a straight line segment with a finite distance above the interface and gen-erated by point sources. Precisely, we propose a novel version of the linear sampling method to recover the location and shape of the local perturbation of the interface numerically. Our method is based on a modified near-field operator equation associated with a special rough surface, constructed by re-formulating the forward scattering problem into an equivalent integral equation formulation in a bounded domain, leading to a fast imaging algorithm. Nu-merical experiments are presented to illustrate the effectiveness of the imaging method.
资助项目	National Key Research and Development Program of China[2020AAA0105601] ; NNSF of China[11771349]
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000683572700003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59071]
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Jiaqing
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China 4.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 5.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
推荐引用方式 GB/T 7714	Li, Jianliang,Yang, Jiaqing,Zhang, Bo. A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE[J]. INVERSE PROBLEMS AND IMAGING,2021,15(5):1247-1267.
APA	Li, Jianliang,Yang, Jiaqing,&Zhang, Bo.(2021).A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE.INVERSE PROBLEMS AND IMAGING,15(5),1247-1267.
MLA	Li, Jianliang,et al."A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE".INVERSE PROBLEMS AND IMAGING 15.5(2021):1247-1267.