Imaging of locally rough surfaces from intensity-only far-field or near-field data

doi:10.1088/1361-6420/aa5fc8

CSpace > 应用数学研究所

	Imaging of locally rough surfaces from intensity-only far-field or near-field data
	Zhang, Bo1,2,3 ; Zhang, Haiwen1,2
	2017-05-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	33 期号:5 页码:28
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.
关键词	inverse scattering problems locally rough surfaces phaseless far-field data phaseless near-field data Newton iteration method
DOI	10.1088/1361-6420/aa5fc8
语种	英语
资助项目	NNSF of China[61379093] ; NNSF of China[91430102] ; NNSF of China[11501558]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000396088300001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	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.