Approximate acoustic cloaking in inhomogeneous isotropic space

被引:0
作者
JingZhi Li
HongYu Liu
ShiPeng Mao
机构
[1] South University of Science and Technology of China,Faculty of Science
[2] University of North Carolina,Department of Mathematics and Statistics
[3] Chinese Academy of Sciences,LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science
来源
Science China Mathematics | 2013年 / 56卷
关键词
transformation optics; approximate invisibility cloaking; scattering estimates; integral operator equations; 35Q60; 35R30; 78A46; 46N20;
D O I
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中图分类号
学科分类号
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.
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页码:2631 / 2644
页数:13
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