Unique determination of a perfectly conducting ball by a finite number of electric far field data
文献类型：期刊论文
| 作者 | Hu, Guanghui; Liu, Xiaodong ; Zhang, Bo1
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2009-04-15 |
| 卷号 | 352期号:2页码:861-871 |
| ISSN号 | 0022-247X |
| 关键词 | Uniqueness Inverse electromagnetic scattering Far field pattern Perfectly conducting ball |
| DOI | 10.1016/j.jmaa.2008.09.016 |
| 英文摘要 | In this paper, we prove uniqueness in determining a perfectly conducting ball in the inverse electromagnetic scattering problem by a finite number of electric far field patterns with a single incident direction and polarization. It is emphasized that we use only one electric far field pattern datum to uniquely determine the radius of a ball if it is centered at the origin with radius R < root 2/k. Furthermore, if its center was not given as a prior information, three more measurement data Must be added to uniquely determine its center. The main tool used here is some new results on zeros of spherical Bessel and spherical Neumann functions. (C) 2008 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China[10671201] ; Chinese Academy of Sciences through the Hundred Talents Program |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000264730200032 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7136]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Bo |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Guanghui,Liu, Xiaodong,Zhang, Bo. Unique determination of a perfectly conducting ball by a finite number of electric far field data[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2009,352(2):861-871. |
| APA | Hu, Guanghui,Liu, Xiaodong,&Zhang, Bo.(2009).Unique determination of a perfectly conducting ball by a finite number of electric far field data.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,352(2),861-871. |
| MLA | Hu, Guanghui,et al."Unique determination of a perfectly conducting ball by a finite number of electric far field data".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 352.2(2009):861-871. |
入库方式： OAI收割
来源：数学与系统科学研究院
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