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Near-field imaging of periodic interfaces in multilayered media
Yang, Jiaqing1; Zhang, Bo2,3,4; Zhang, Ruming4
2016-03-01
Source PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume32Issue:3Pages:26
AbstractThis paper is concerned with the inverse problem of scattering of time-harmonic electromagnetic waves by a penetrable multilayered periodic structure. The structure separates the whole space into three regions: the medium above and below the structure is assumed to be homogeneous but with different wave numbers, and the medium inside the structure is assumed to be inhomogeneous characterized by the refractive index. We prove, under certain conditions, that the factorization method can be used to reconstruct the upper interface from the scattered near-field data measured only above the structure and generated by a countably infinite number of downward propagating incident waves merely from the top region, leading to a fast imaging algorithm. A similar result can be obtained for reconstructing the lower interface from the scattered near-field data measured only below the structure, corresponding to a countably infinite number of upward propagating incident waves also merely from the bottom region. Thus, our approach is applicable, even if one merely has access to the object under investigation from one side. Finally, numerical examples are presented to illustrate the effectiveness of the inversion algorithm.
KeywordFactorization method inverse scattering periodic structure layered media near-field data
DOI10.1088/0266-5611/32/3/035010
Language英语
Funding ProjectChina Postdoctoral Science Foundation[2015M580827] ; NNSF of China[61379093] ; NNSF of China[91430102] ; NNSF of China[11401568]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000372371400010
PublisherIOP PUBLISHING LTD
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22386
Collection应用数学研究所
Affiliation1.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
2.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China
3.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
4.Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Recommended Citation
GB/T 7714
Yang, Jiaqing,Zhang, Bo,Zhang, Ruming. Near-field imaging of periodic interfaces in multilayered media[J]. INVERSE PROBLEMS,2016,32(3):26.
APA Yang, Jiaqing,Zhang, Bo,&Zhang, Ruming.(2016).Near-field imaging of periodic interfaces in multilayered media.INVERSE PROBLEMS,32(3),26.
MLA Yang, Jiaqing,et al."Near-field imaging of periodic interfaces in multilayered media".INVERSE PROBLEMS 32.3(2016):26.
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