Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency
文献类型：期刊论文
| 作者 | Xu, Xiaoxu1; Zhang, Bo2,3,4 ; Zhang, Haiwen3,5
|
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2020-12-01 |
| 卷号 | 85期号:6页码:823-839 |
| 关键词 | uniqueness inverse electromagnetic scattering phaseless far-field pattern impenetrable obstacle inhomogeneous medium |
| ISSN号 | 0272-4960 |
| DOI | 10.1093/imamat/hxaa024 |
| 英文摘要 | This paper is concerned with uniqueness in inverse electromagnetic scattering with phaseless far-field pattern at a fixed frequency. In our previous work (2018,SIAM J. Appl. Math. 78, 3024-3039), by adding a known reference ball into the acoustic scattering system, it was proved that the impenetrable obstacle and the index of refraction of an inhomogeneous medium can be uniquely determined by the acoustic phaseless far-field patterns generated by infinitely many sets of superpositions of two plane waves with different directions at a fixed frequency. In this paper, we extend these uniqueness results to the inverse electromagnetic scattering case. The phaseless far-field data are the modulus of the tangential component in the orientations and , respectively, of the electric far-field pattern measured on the unit sphere and generated by infinitely many sets of superpositions of two electromagnetic plane waves with different directions and polarizations. Our proof is mainly based on Rellich's lemma and the Stratton-Chu formula for radiating solutions to the Maxwell equations. |
| 资助项目 | National Natural Science Foundation of China[91630309] ; National Natural Science Foundation of China[11871466] ; National Natural Science Foundation of China[11571355] ; National Natural Science Foundation of China[NSAF U1930402] ; China Postdoctoral Science Foundation[2019TQ0023] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000595481000001 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57792]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Haiwen |
| 作者单位 | 1.Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China 2.Chinese Acad Sci, NCMIS, 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 5.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoxu,Zhang, Bo,Zhang, Haiwen. Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2020,85(6):823-839. |
| APA | Xu, Xiaoxu,Zhang, Bo,&Zhang, Haiwen.(2020).Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency.IMA JOURNAL OF APPLIED MATHEMATICS,85(6),823-839. |
| MLA | Xu, Xiaoxu,et al."Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency".IMA JOURNAL OF APPLIED MATHEMATICS 85.6(2020):823-839. |
入库方式： OAI收割
来源：数学与系统科学研究院
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