Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency

doi:10.1093/imamat/hxaa024

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	Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency
	Xu, Xiaoxu 4; Zhang, Bo 1,2,5; Zhang, Haiwen 2,3
刊名	IMA JOURNAL OF APPLIED MATHEMATICS
	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
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000595481000001
内容类型	期刊论文
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.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, NCMIS, Beijing 100190, Peoples R China 4.Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China 5.Chinese Acad Sci, NCMIS, LSEC, 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.