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Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns
Ji, Xia1,2; Liu, Xiaodong2,3; Zhang, Bo1,2,4
2019
发表期刊SIAM JOURNAL ON IMAGING SCIENCES
ISSN1936-4954
卷号12期号:1页码:372-391
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.
关键词phaseless data phase retrieval stability sampling method far field pattern
DOI10.1137/18M1205789
语种英语
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
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Software Engineering ; Mathematics, Applied ; Imaging Science & Photographic Technology
WOS记录号WOS:000462628900013
出版者SIAM PUBLICATIONS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/34242
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
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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.
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