Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data
文献类型：期刊论文
| 作者 | Liu, Hongyu1; Liu, Xiaodong2
|
| 刊名 | INVERSE PROBLEMS
 |
| 出版日期 | 2017-06-01 |
| 卷号 | 33期号:6页码:20 |
| 关键词 | inverse acoustic scattering obstacle medium unique identifiability simultaneous formally determined |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/1361-6420/aa6770 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000399819800002 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/437]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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