Approximate acoustic cloaking in inhomogeneous isotropic space

CSpace

	Approximate acoustic cloaking in inhomogeneous isotropic space
其他题名	Approximate acoustic cloaking in inhomogeneous isotropic space
	Li JingZhi 1; Liu HongYu 2; Mao ShiPeng 3
	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.