| RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS | |
| Zhu, Tielei4; Yang, Jiaqing4; Zhang, Bo1,2,3 | |
| 刊名 | INVERSE PROBLEMS AND IMAGING
 |
| 2022-03-01 | |
| 页码 | 21 |
| 关键词 | Interaction Maxwell's equations Navier equation well-posedness inverse scattering uniqueness |
| ISSN号 | 1930-8337 |
| DOI | 10.3934/ipi.2022012 |
| 英文摘要 | This paper is concerned with the scattering of a time-harmonic electromagnetic wave by a three-dimensional elastic body. The general transmission conditions are considered to model the interaction between the electromagnetic field and the elastic body on the interface by Voigt's model. The existence of a unique solution is first proved in an appropriate Sobolev space by employing the variational method with the classical Fredholm alternative. The inverse problem is then investigated to recover the elastic body by the scattered wave-field data. It is shown that the shape and location of the body is uniquely determined by the fixed energy magnetic (or electric) far-field measurements corresponding to incident plane waves with all polarizations. |
| 资助项目 | NNSF of China[12122114] ; Young Talent Support Plan of Xi'an Jiaotong University |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| WOS记录号 | WOS:000773668800001 |
| 内容类型 | 期刊论文 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60251]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Yang, Jiaqing |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Tielei,Yang, Jiaqing,Zhang, Bo. RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS[J]. INVERSE PROBLEMS AND IMAGING,2022:21. |
| APA | Zhu, Tielei,Yang, Jiaqing,&Zhang, Bo.(2022).RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS.INVERSE PROBLEMS AND IMAGING,21. |
| MLA | Zhu, Tielei,et al."RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS".INVERSE PROBLEMS AND IMAGING (2022):21. |
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