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The interior inverse electromagnetic scattering for an inhomogeneous cavity
Zeng,Fang1; Meng,Shixu2
Source PublicationInverse Problems
AbstractAbstractIn 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.
Keywordinterior inverse scattering linear sampling method exterior transmission problem Maxwell's equations cavity
WOS IDIOP:0266-5611-37-2-abd7cc
PublisherIOP Publishing
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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).
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