approximateacousticcloakingininhomogeneousisotropicspace

	approximateacousticcloakingininhomogeneousisotropicspace
	Li Jingzhi 1; Liu Hongyu 2; Mao Shipeng3
	2013
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	56 期号:12 页码:2631
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.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [National Science Foundation of USA]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/49745
专题	计算数学与科学工程计算研究所
作者单位	1.南方科技大学 2.北卡罗来纳大学系统 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. approximateacousticcloakingininhomogeneousisotropicspace[J]. sciencechinamathematics,2013,56(12):2631.
APA	Li Jingzhi,Liu Hongyu,&Mao Shipeng.(2013).approximateacousticcloakingininhomogeneousisotropicspace.sciencechinamathematics,56(12),2631.
MLA	Li Jingzhi,et al."approximateacousticcloakingininhomogeneousisotropicspace".sciencechinamathematics 56.12(2013):2631.