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RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS

文献类型：期刊论文

作者Zhu, Tielei4; Yang, Jiaqing4; Zhang, Bo1,2,3
刊名INVERSE PROBLEMS AND IMAGING
出版日期2022-03-01
页码21
关键词Interaction Maxwell's equations Navier equation well-posedness inverse scattering uniqueness
ISSN号1930-8337
DOI10.3934/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
WOS记录号WOS:000773668800001
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
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.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, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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