| 题名 | Enhanced approximate cloaking by SH and FSH lining |
| 作者 | |
| 通讯作者 | Li, Jingzhi |
| 发表日期 | 2012-07
|
| DOI | |
| 发表期刊 | |
| ISSN | 0266-5611
|
| EISSN | 1361-6420
|
| 卷号 | 28期号:7 |
| 摘要 | We consider approximate cloaking from a regularization viewpoint introduced in Kohn et al (2008 Inverse Problems 24 015016) for EIT and further investigated in Kohn et al (2010 Commun. Pure Appl. Math. 63 0973-1016) and Liu (2009 Inverse Problems 25 045006) for the Helmholtz equation. The cloaking schemes given by Kohn et al and Liu are shown to be (optimally) within vertical bar ln rho vertical bar(-1) in 2D and rho in 3D of perfect cloaking, where rho denotes the regularization parameter. In this paper, we show that by employing a sound-hard layer right outside the cloaked region, one could (optimally) achieve rho(N) in R-N, N >= 2, which significantly enhances the near-cloak. We then develop a cloaking scheme by making use of a lossy layer with well-chosen parameters. The lossy-layer cloaking scheme is shown to possess the same cloaking performance as the one with a sound-hard layer. Moreover, it is shown that the lossy layer could be taken as a finite realization of the sound-hard layer. Numerical experiments are also presented to assess the cloaking performances of all the cloaking schemes for comparisons. |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 第一
; 通讯
|
| WOS研究方向 | Mathematics
; Physics
|
| WOS类目 | Mathematics, Applied
; Physics, Mathematical
|
| WOS记录号 | WOS:000306085300011
|
| 出版者 | |
| EI入藏号 | 20122915263755
|
| EI主题词 | Differential equations
; Numerical methods
|
| EI分类号 | Calculus:921.2
; Numerical Methods:921.6
|
| ESI学科分类 | PHYSICS
|
| 来源库 | Web of Science
|
| 引用统计 |
被引频次[WOS]：16
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/30424 |
| 专题 | 南方科技大学 理学院_数学系 |
| 作者单位 | 1.S Univ Sci & Technol China, Shenzhen 518055, Peoples R China 2.Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 第一作者单位 | 南方科技大学 |
| 通讯作者单位 | 南方科技大学 |
| 第一作者的第一单位 | 南方科技大学 |
| 推荐引用方式 GB/T 7714 |
Li, Jingzhi,Liu, Hongyu,Sun, Hongpeng. Enhanced approximate cloaking by SH and FSH lining[J]. INVERSE PROBLEMS,2012,28(7).
|
| APA |
Li, Jingzhi,Liu, Hongyu,&Sun, Hongpeng.(2012).Enhanced approximate cloaking by SH and FSH lining.INVERSE PROBLEMS,28(7).
|
| MLA |
Li, Jingzhi,et al."Enhanced approximate cloaking by SH and FSH lining".INVERSE PROBLEMS 28.7(2012).
|
| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
| Li-2012-Enhanced app（1513KB） | -- | -- | 限制开放 | -- | ||
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