KMS Of Academy of mathematics and systems sciences, CAS
An inverse transmission scattering problem for periodic media | |
Yang, Jiaqing1; Zhang, Bo | |
2011-12-01 | |
Source Publication | INVERSE PROBLEMS |
ISSN | 0266-5611 |
Volume | 27Issue:12Pages:22 |
Abstract | 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 |
Language | 英语 |
Funding Project | NNSF of China[11071244] |
WOS Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Applied ; Physics, Mathematical |
WOS ID | WOS:000298078200018 |
Publisher | IOP PUBLISHING LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12466 |
Collection | 应用数学研究所 |
Affiliation | 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 |
Recommended Citation 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. |
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