KMS Of Academy of mathematics and systems sciences, CAS
| 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 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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