Recovering scattering obstacles by multi-frequency phaseless far-field data

doi:10.1016/j.jcp.2017.05.022

CSpace > 应用数学研究所

	Recovering scattering obstacles by multi-frequency phaseless far-field data
	Zhang, Bo1,2,3 ; Zhang, Haiwen4
	2017-09-15
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	345 页码:58-73
摘要	It is well known that the modulus of the far-field pattern (or phaseless far-field pattern) is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field, so the shape but not the location of the obstacle can be recovered from the phaseless far-field data. This paper aims to devise an approach to break the translation invariance property of the phaseless far-field pattern. To this end, we make use of the superposition of two plane waves rather than one plane wave as the incident field. In this paper, it is mathematically proved that the translation invariance property of the phaseless far-field pattern can indeed be broken if superpositions of two plane waves are used as the incident fields for all wave numbers in a finite interval. Furthermore, a recursive Newton type iteration algorithm in frequencies is also developed to numerically recover both the location and the shape of the obstacle simultaneously from multi-frequency phaseless far field data. Numerical examples are also carried out to illustrate the validity of the approach and the effectiveness of the inversion algorithm. (C) 2017 Elsevier Inc. All rights reserved.
关键词	Inverse obstacle scattering Phaseless far-field pattern Recursive Newton iteration method Recovery of obstacles Incident plane waves Multiple frequency data
DOI	10.1016/j.jcp.2017.05.022
语种	英语
资助项目	NNSF of China[91430102] ; NNSF of China[91630309] ; NNSF of China[61379093] ; NNSF of China[11501558] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000405974900005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26196
专题	应用数学研究所
通讯作者	Zhang, Haiwen
作者单位	1.Chinese Acad Sci, AMSS, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Bo,Zhang, Haiwen. Recovering scattering obstacles by multi-frequency phaseless far-field data[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,345:58-73.
APA	Zhang, Bo,&Zhang, Haiwen.(2017).Recovering scattering obstacles by multi-frequency phaseless far-field data.JOURNAL OF COMPUTATIONAL PHYSICS,345,58-73.
MLA	Zhang, Bo,et al."Recovering scattering obstacles by multi-frequency phaseless far-field data".JOURNAL OF COMPUTATIONAL PHYSICS 345(2017):58-73.