RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS

doi:10.3934/ipi.2022012

CSpace > 应用数学研究所

	RECOVERING A BOUNDED ELASTIC BODY BY ELECTROMAGNETIC FAR-FIELD MEASUREMENTS
	Zhu, Tielei 1; Yang, Jiaqing 1; Zhang, Bo2,3,4
	2022-03-01
发表期刊	INVERSE PROBLEMS AND IMAGING
ISSN	1930-8337
页码	21
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.
关键词	Interaction Maxwell's equations Navier equation well-posedness inverse scattering uniqueness
DOI	10.3934/ipi.2022012
收录类别	SCI
语种	英语
资助项目	NNSF of China[12122114] ; Young Talent Support Plan of Xi'an Jiaotong University
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000773668800001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60252
专题	应用数学研究所
通讯作者	Yang, Jiaqing
作者单位	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
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.