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Imaging of locally rough surfaces from intensity-only far-field or near-field data
Zhang, Bo1,2,3; Zhang, Haiwen1,2
2017-05-01
Source PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume33Issue:5Pages:28
AbstractThis 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.
Keywordinverse scattering problems locally rough surfaces phaseless far-field data phaseless near-field data Newton iteration method
DOI10.1088/1361-6420/aa5fc8
Language英语
Funding ProjectNNSF of China[61379093] ; NNSF of China[91430102] ; NNSF of China[11501558]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000396088300001
PublisherIOP PUBLISHING LTD
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/223
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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