Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns
文献类型：期刊论文
| 作者 | Ji, Xia1,2 ; Liu, Xiaodong2,3; Zhang, Bo1,2,4
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| 刊名 | SIAM JOURNAL ON IMAGING SCIENCES
 |
| 出版日期 | 2019 |
| 卷号 | 12期号:1页码:372-391 |
| 关键词 | phaseless data phase retrieval stability sampling method far field pattern |
| ISSN号 | 1936-4954 |
| DOI | 10.1137/18M1205789 |
| 英文摘要 | An important property of the phaseless far field patterns with incident plane waves is the translation invariance. Thus it is impossible to reconstruct the location of the underlying scatterers. By adding a reference point scatterer into the model, we design a novel direct sampling method using the phaseless data directly. The reference point technique not only overcomes the translation invariance, but also brings a practical phase retrieval algorithm. Based on this, we propose a hybrid method combining the novel phase retrieval algorithm and the classical direct sampling methods. Numerical examples in two dimensions are presented to demonstrate their effectiveness and robustness. |
| 资助项目 | National Natural Science Foundation of China[91630309] ; National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; National Natural Science Foundation of China[11571355] ; National Centre for Mathematics and Interdisciplinary Sciences, CAS ; Youth Innovation Promotion Association, CAS |
| WOS研究方向 | Computer Science ; Mathematics ; Imaging Science & Photographic Technology |
| 语种 | 英语 |
| WOS记录号 | WOS:000462628900013 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34241]  |
| 专题 | 计算数学与科学工程计算研究所 应用数学研究所 |
| 通讯作者 | Ji, Xia |
| 作者单位 | 1.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ji, Xia,Liu, Xiaodong,Zhang, Bo. Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns[J]. SIAM JOURNAL ON IMAGING SCIENCES,2019,12(1):372-391. |
| APA | Ji, Xia,Liu, Xiaodong,&Zhang, Bo.(2019).Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns.SIAM JOURNAL ON IMAGING SCIENCES,12(1),372-391. |
| MLA | Ji, Xia,et al."Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns".SIAM JOURNAL ON IMAGING SCIENCES 12.1(2019):372-391. |
入库方式： OAI收割
来源：数学与系统科学研究院
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