KMS Of Academy of mathematics and systems sciences, CAS
| A LINEAR SAMPLING METHOD FOR INVERSE ACOUSTIC SCATTERING BY A LOCALLY ROUGH INTERFACE | |
Li, Jianliang1; Yang, Jiaqing2; Zhang, Bo3,4,5
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| 2021-10-01 | |
| Source Publication | INVERSE PROBLEMS AND IMAGING
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| ISSN | 1930-8337 |
| Volume | 15Issue:5Pages:1247-1267 |
| Abstract | 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. |
| Keyword | locally rough interface Lippmann-Schwinger integral equation the linear sampling method Inverse acoustic scattering |
| DOI | 10.3934/ipi.2021036 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Key Research and Development Program of China[2020AAA0105601] ; NNSF of China[11771349] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000683572700003 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59072 |
| Collection | 应用数学研究所 |
| Corresponding Author | Yang, Jiaqing |
| Affiliation | 1.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China 2.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 3.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
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