A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium
文献类型：期刊论文
| 作者 | Liu, Xiaodong ; Zhang, Bo1
|
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2009 |
| 卷号 | 88期号:9页码:1339-1355 |
| 关键词 | uniqueness piecewise homogeneous medium Holmgren's uniqueness theorem inverse electromagnetic scattering |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036810903277168 |
| 英文摘要 | The scattering of time-harmonic electromagnetic plane waves by an impenetrable obstacle in a piecewise homogeneous medium is considered. The well-posedness of the direct problem is proved by the variational method. Under the condition that the wave numbers in the innermost and outermost homogeneous layers coincide, we then establish a uniqueness result for the inverse problem, that is, the unique determination of the obstacle and its boundary condition from a knowledge of the electric far field pattern for incident plane waves. The proof is based on a generalization of the mixed reciprocity relation. |
| 资助项目 | Chinese Academy of Sciences through the Hundred Talents Program ; NNSF of China[10671201] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000271507600006 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8428]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Bo |
| 作者单位 | 1.Chinese Acad Sci, AMSS, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Xiaodong,Zhang, Bo. A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium[J]. APPLICABLE ANALYSIS,2009,88(9):1339-1355. |
| APA | Liu, Xiaodong,&Zhang, Bo.(2009).A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium.APPLICABLE ANALYSIS,88(9),1339-1355. |
| MLA | Liu, Xiaodong,et al."A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium".APPLICABLE ANALYSIS 88.9(2009):1339-1355. |
入库方式： OAI收割
来源：数学与系统科学研究院
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