Recovery of an embedded obstacle and the surrounding medium for Maxwell's system

doi:10.1016/j.jde.2019.03.009

CSpace > 应用数学研究所

	Recovery of an embedded obstacle and the surrounding medium for Maxwell's system
	Deng, Youjun 1; Liu, Hongyu 2; Liu, Xiaodong3
	2019-08-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	267 期号:4 页码:2192-2209
摘要	In this paper, we are concerned with the inverse electromagnetic scattering problem of recovering a complex scatterer by the corresponding electric far-field data. The complex scatterer consists of an inhomogeneous medium and a possibly embedded perfectly electric conducting (PEC) obstacle. The far-field data are collected corresponding to incident plane waves with a fixed incident direction and a fixed polarisation, but frequencies from an open interval. It is shown that the embedded obstacle can be uniquely recovered by the aforementioned far-field data, independent of the surrounding medium. Furthermore, if the surrounding medium is piecewise homogeneous, then the medium can be recovered as well. Those unique recovery results are new to the literature. Our argument is based on low-frequency expansions of the electromagnetic fields and certain harmonic analysis techniques. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Inverse electromagnetic scattering Maxwell system Embedded obstacle Surrounding medium Uniqueness
DOI	10.1016/j.jde.2019.03.009
语种	英语
资助项目	NSF grant of China[11601528] ; NSF grant of Hunan[2017JJ3432] ; Mathematics and Interdisciplinary Sciences Project, Central South University ; Hong Kong RGC General Research Funds[12302017] ; Hong Kong RGC General Research Funds[12302018] ; Youth Innovation Promotion Association CAS ; NNSF of China[11571355] ; Hong Kong Baptist University
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000468110200004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34730
专题	应用数学研究所
通讯作者	Liu, Hongyu
作者单位	1.Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Deng, Youjun,Liu, Hongyu,Liu, Xiaodong. Recovery of an embedded obstacle and the surrounding medium for Maxwell's system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,267(4):2192-2209.
APA	Deng, Youjun,Liu, Hongyu,&Liu, Xiaodong.(2019).Recovery of an embedded obstacle and the surrounding medium for Maxwell's system.JOURNAL OF DIFFERENTIAL EQUATIONS,267(4),2192-2209.
MLA	Deng, Youjun,et al."Recovery of an embedded obstacle and the surrounding medium for Maxwell's system".JOURNAL OF DIFFERENTIAL EQUATIONS 267.4(2019):2192-2209.