KMS Of Academy of mathematics and systems sciences, CAS
| RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS | |
Zhu, Tielei1; Yang, Jiaqing1; Zhang, Bo2,3,4
| |
| 2022-03-01 | |
| Source Publication | INVERSE PROBLEMS AND IMAGING
 |
| ISSN | 1930-8337 |
| Pages | 21 |
| Abstract | 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. |
| Keyword | Interaction Maxwell's equations Navier equation well-posedness inverse scattering uniqueness |
| DOI | 10.3934/ipi.2022012 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF of China[12122114] ; Young Talent Support Plan of Xi'an Jiaotong University |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000773668800001 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60252 |
| Collection | 应用数学研究所 |
| Corresponding Author | Yang, Jiaqing |
| Affiliation | 1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 2.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment