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Li Jingzhi1; Liu Hongyu2; Mao Shipeng3
Source Publicationsciencechinamathematics
AbstractWe 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.
Funding Project[National Natural Science Foundation of China] ; [National Science Foundation of USA]
Document Type期刊论文
Recommended Citation
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.
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