An inverse transmission scattering problem for periodic media
文献类型：期刊论文
| 作者 | Yang, Jiaqing1; Zhang, Bo
|
| 刊名 | INVERSE PROBLEMS
 |
| 出版日期 | 2011-12-01 |
| 卷号 | 27期号:12页码:22 |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/0266-5611/27/12/125010 |
| 英文摘要 | 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. |
| 资助项目 | NNSF of China[11071244] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| 出版者 | IOP PUBLISHING LTD |
| WOS记录号 | WOS:000298078200018 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12465]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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