An inverse transmission scattering problem for periodic media

doi:10.1088/0266-5611/27/12/125010

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	An inverse transmission scattering problem for periodic media
	Yang, Jiaqing 1; Zhang, Bo
	2011-12-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	27 期号:12 页码:22
摘要	Consider the problem of scattering of time-harmonic waves by a penetrable periodic structure. The structure separates the whole space into three regions: the medium above and below the structure is assumed to be homogeneous, and the medium inside the structure is assumed to be inhomogeneous with the refractive index q(x). Having established the well posedness of the scattering problem, we show that the scattered field measured only above the structure, corresponding to a countably infinite number of quasi-periodic waves, uniquely determine the two grating profiles. Furthermore, we prove that the refractive index q(x) can be uniquely determined from the scattered field measured above and below the structure, corresponding to a countably infinite number of quasi-periodic waves, if q depends only on one direction and if the two grating profiles are known constants. The proofs are based on a priori estimates of the solutions of the direct problem and new mixed reciprocity relations.
DOI	10.1088/0266-5611/27/12/125010
语种	英语
资助项目	NNSF of China[11071244]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000298078200018
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/12466
专题	应用数学研究所
通讯作者	Yang, Jiaqing
作者单位	1.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Jiaqing,Zhang, Bo. An inverse transmission scattering problem for periodic media[J]. INVERSE PROBLEMS,2011,27(12):22.
APA	Yang, Jiaqing,&Zhang, Bo.(2011).An inverse transmission scattering problem for periodic media.INVERSE PROBLEMS,27(12),22.
MLA	Yang, Jiaqing,et al."An inverse transmission scattering problem for periodic media".INVERSE PROBLEMS 27.12(2011):22.