Recovering scattering obstacles by multi-frequency phaseless far-field data
文献类型：期刊论文
| 作者 | Zhang, Bo1,2,3 ; Zhang, Haiwen4
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2017-09-15 |
| 卷号 | 345页码:58-73 |
| 关键词 | Inverse obstacle scattering Phaseless far-field pattern Recursive Newton iteration method Recovery of obstacles Incident plane waves Multiple frequency data |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2017.05.022 |
| 英文摘要 | It is well known that the modulus of the far-field pattern (or phaseless far-field pattern) is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field, so the shape but not the location of the obstacle can be recovered from the phaseless far-field data. This paper aims to devise an approach to break the translation invariance property of the phaseless far-field pattern. To this end, we make use of the superposition of two plane waves rather than one plane wave as the incident field. In this paper, it is mathematically proved that the translation invariance property of the phaseless far-field pattern can indeed be broken if superpositions of two plane waves are used as the incident fields for all wave numbers in a finite interval. Furthermore, a recursive Newton type iteration algorithm in frequencies is also developed to numerically recover both the location and the shape of the obstacle simultaneously from multi-frequency phaseless far field data. Numerical examples are also carried out to illustrate the validity of the approach and the effectiveness of the inversion algorithm. (C) 2017 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China[91430102] ; NNSF of China[91630309] ; NNSF of China[61379093] ; NNSF of China[11501558] ; National Center for Mathematics and Interdisciplinary Sciences, CAS |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000405974900005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26195]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Haiwen |
| 作者单位 | 1.Chinese Acad Sci, AMSS, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Bo,Zhang, Haiwen. Recovering scattering obstacles by multi-frequency phaseless far-field data[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,345:58-73. |
| APA | Zhang, Bo,&Zhang, Haiwen.(2017).Recovering scattering obstacles by multi-frequency phaseless far-field data.JOURNAL OF COMPUTATIONAL PHYSICS,345,58-73. |
| MLA | Zhang, Bo,et al."Recovering scattering obstacles by multi-frequency phaseless far-field data".JOURNAL OF COMPUTATIONAL PHYSICS 345(2017):58-73. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。