Unique determination of a sound-soft ball by the modulus of a single far field datum
文献类型：期刊论文
| 作者 | Liu, Xiaodong ; Zhang, Bo1
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2010-03-15 |
| 卷号 | 365期号:2页码:619-624 |
| 关键词 | Uniqueness Inverse acoustic scattering Modulus of the far field pattern Sound-soft ball |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2009.11.031 |
| 英文摘要 | In this paper, we prove uniqueness in determining a sound-soft ball in inverse acoustic scattering by the modulus of the far field patterns. Since the modulus of the far field pattern is invariant tinder translation (Kress and Rundell, 1997 [6], Kwon and Seo, 2000 [7]), we can only reconstruct the shape of the obstacle but not the location. Assume that the ball is centered at the origin. Under the condition that the ball is small, it is uniquely determined by the modulus of a single far field datum measured at a fixed spot corresponding to a single incident plane wave. (C) 2009 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China[10671201] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274351200018 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9873]  |
| 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, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Xiaodong,Zhang, Bo. Unique determination of a sound-soft ball by the modulus of a single far field datum[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,365(2):619-624. |
| APA | Liu, Xiaodong,&Zhang, Bo.(2010).Unique determination of a sound-soft ball by the modulus of a single far field datum.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,365(2),619-624. |
| MLA | Liu, Xiaodong,et al."Unique determination of a sound-soft ball by the modulus of a single far field datum".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 365.2(2010):619-624. |
入库方式： OAI收割
来源：数学与系统科学研究院
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