Imaging of locally rough surfaces from intensity-only far-field or near-field data
文献类型：期刊论文
| 作者 | Zhang, Bo1,2,3 ; Zhang, Haiwen1,2
|
| 刊名 | INVERSE PROBLEMS
 |
| 出版日期 | 2017-05-01 |
| 卷号 | 33期号:5页码:28 |
| 关键词 | inverse scattering problems locally rough surfaces phaseless far-field data phaseless near-field data Newton iteration method |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/1361-6420/aa5fc8 |
| 英文摘要 | This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration algorithm in frequencies is developed to reconstruct the locally rough surface from multi-frequency intensity-only far-field or near-field data, where the fast integral equation solver developed by Zhang and Zhang (2013 SIAM J. Appl. Math. 73 1811-29) is used to solve the direct scattering problem in each iteration. For the case with far-field data, a main feature of our work is that the incident field is taken as a superposition of two plane waves with different directions rather than one plane wave, so the location and shape of the local perturbation of the infinite plane can be reconstructed simultaneously from intensity-only far-field data with multiple wave numbers. This is different from previous work on inverse scattering from phaseless far-field data, where only the shape reconstruction was considered due to the translation invariance property of the phaseless far-field pattern corresponding to one plane wave as the incident field. Finally, numerical examples are presented to demonstrate that our reconstruction algorithm is stable and accurate even for the case of multiple-scale profiles. |
| 资助项目 | NNSF of China[61379093] ; NNSF of China[91430102] ; NNSF of China[11501558] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000396088300001 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/223]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Bo |
| 作者单位 | 1.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Bo,Zhang, Haiwen. Imaging of locally rough surfaces from intensity-only far-field or near-field data[J]. INVERSE PROBLEMS,2017,33(5):28. |
| APA | Zhang, Bo,&Zhang, Haiwen.(2017).Imaging of locally rough surfaces from intensity-only far-field or near-field data.INVERSE PROBLEMS,33(5),28. |
| MLA | Zhang, Bo,et al."Imaging of locally rough surfaces from intensity-only far-field or near-field data".INVERSE PROBLEMS 33.5(2017):28. |
入库方式： OAI收割
来源：数学与系统科学研究院
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