Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns

doi:10.1137/18M1205789

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns
	Ji, Xia1,2 ; Liu, Xiaodong2,3 ; Zhang, Bo1,2,4
刊名	SIAM JOURNAL ON IMAGING SCIENCES
	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
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000462628900013
内容类型	期刊论文
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.