The interior inverse electromagnetic scattering for an inhomogeneous cavity

doi:10.1088/1361-6420/abd7cc

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	The interior inverse electromagnetic scattering for an inhomogeneous cavity
	Zeng,Fang 1; Meng,Shixu2
	2021-01-20
发表期刊	Inverse Problems
ISSN	0266-5611
卷号	37 期号:2
摘要	AbstractIn this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered electric fields measured on some surface inside the cavity, where such scattered electric fields are due to electric dipoles emitted on the same surface. By making use of a boundary value problem called the exterior transmission problem, we first prove that the measurements can uniquely determine the shape of the cavity. Then we apply the linear sampling method to reconstruct the cavity. Numerical examples are further provided to illustrate the viability of our algorithm.
关键词	interior inverse scattering linear sampling method exterior transmission problem Maxwell's equations cavity
DOI	10.1088/1361-6420/abd7cc
语种	英语
WOS记录号	IOP:0266-5611-37-2-abd7cc
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57772
专题	应用数学研究所
作者单位	1.College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, People’s Republic of China 2.Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
推荐引用方式 GB/T 7714	Zeng,Fang,Meng,Shixu. The interior inverse electromagnetic scattering for an inhomogeneous cavity[J]. Inverse Problems,2021,37(2).
APA	Zeng,Fang,&Meng,Shixu.(2021).The interior inverse electromagnetic scattering for an inhomogeneous cavity.Inverse Problems,37(2).
MLA	Zeng,Fang,et al."The interior inverse electromagnetic scattering for an inhomogeneous cavity".Inverse Problems 37.2(2021).