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 The interior inverse electromagnetic scattering for an inhomogeneous cavity Zeng,Fang1; Meng,Shixu2 2021-01-20 Source Publication Inverse Problems ISSN 0266-5611 Volume 37Issue:2 Abstract 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. Keyword interior inverse scattering linear sampling method exterior transmission problem Maxwell's equations cavity DOI 10.1088/1361-6420/abd7cc Language 英语 WOS ID IOP:0266-5611-37-2-abd7cc Publisher IOP Publishing Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/57772 Collection 应用数学研究所 Affiliation 1.College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, People’s Republic of China2.Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China Recommended CitationGB/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).
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