Recovery of an embedded obstacle and the surrounding medium for Maxwell's system
文献类型：期刊论文
| 作者 | Deng, Youjun1; Liu, Hongyu2; Liu, Xiaodong3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2019-08-05 |
| 卷号 | 267期号:4页码:2192-2209 |
| 关键词 | Inverse electromagnetic scattering Maxwell system Embedded obstacle Surrounding medium Uniqueness |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2019.03.009 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000468110200004 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34729]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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