Approximate acoustic cloaking in inhomogeneous isotropic space  

作　　者：LI JingZhi LIU HongYu MAO ShiPeng 

机构地区：[1]Faculty of Science, South University of Science and Technology of China [2]Department of Mathematics and Statistics, University of North Carolina [3]LSEC,Institute of Computational Mathematics, Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Science China Mathematics》2013年第12期2631-2644,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11101414;11201453;91130022 and 91130026);National Science Foundation of USA(Grant No.DMS 1207784)

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.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：transformation optics approximate invisibility cloaking scattering estimates integral operatorequations 

分 类 号：O42[理学—声学] O175.5[理学—物理]