KMS Of Academy of mathematics and systems sciences, CAS
Approximate acoustic cloaking in inhomogeneous isotropic space | |
其他题名 | Approximate acoustic cloaking in inhomogeneous isotropic space |
Li JingZhi1; Liu HongYu2; Mao ShiPeng3 | |
2013-01-01 | |
发表期刊 | SCIENCE CHINA-MATHEMATICS |
ISSN | 1674-7283 |
卷号 | 56期号:12页码:2631-2644 |
摘要 | We consider the approximate acoustic cloaking in an inhomogeneous isotropic background space. By employing transformation media, together with the use of a sound-soft layer lining right outside the cloaked region, we show that one can achieve the near-invisibility by the "blow-up-a-small-region" construction. This is based on novel scattering estimates corresponding to multiple multi-scale obstacles located in an isotropic space. We develop a novel system of integral equations to decouple the nonlinear scattering interaction among the small obstacle components, the regular obstacle components and the inhomogeneous background medium. |
其他摘要 | We consider the approximate acoustic cloaking in an inhomogeneous isotropic background space. By employing transformation media, together with the use of a sound-soft layer lining right outside the cloaked region, we show that one can achieve the near-invisibility by the "blow-up-a-small-region" construction. This is based on novel scattering estimates corresponding to multiple multi-scale obstacles located in an isotropic space. We develop a novel system of integral equations to decouple the nonlinear scattering interaction among the small obstacle components, the regular obstacle components and the inhomogeneous background medium. |
关键词 | SCATTERING transformation optics approximate invisibility cloaking scattering estimates integral operator equations |
收录类别 | CSCD |
语种 | 英语 |
资助项目 | [National Natural Science Foundation of China] ; [National Science Foundation of USA] |
CSCD记录号 | CSCD:5017315 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/53650 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.South University Sci & Technol China, Fac Sci, Shenzhen 518055, Peoples R China 2.中国科学院大学 3.中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Li JingZhi,Liu HongYu,Mao ShiPeng. Approximate acoustic cloaking in inhomogeneous isotropic space[J]. SCIENCE CHINA-MATHEMATICS,2013,56(12):2631-2644. |
APA | Li JingZhi,Liu HongYu,&Mao ShiPeng.(2013).Approximate acoustic cloaking in inhomogeneous isotropic space.SCIENCE CHINA-MATHEMATICS,56(12),2631-2644. |
MLA | Li JingZhi,et al."Approximate acoustic cloaking in inhomogeneous isotropic space".SCIENCE CHINA-MATHEMATICS 56.12(2013):2631-2644. |
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