Suppression of the Resonant Scattering in Imperfect Acoustic Cloaking with a Lossy Medium in R^3

作     者：LI Meng-Lei KIM Seungil 

作者机构：Department of Mathematics and Research Institute for Basic Sciences Kyung Hee University Seoul 130-701 Korea 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2014年第31卷第5期

页      面：80-83页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：Supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) Funded by the Ministry of Education  Science and Technology under 

主　　题：Eigenvalues and eigenfunctions 

摘      要：It has been realized that resonance frequencies of imperfect the transformation acoustics in R^2 are located near Dirichlet acoustic cloaking based on a small perturbation of eigenvalues of the cloaked region [Chin. Phys. Lett. 26 （2009） 014301; 29 （2012） 124301]. In this work, we study the performance of the three-dimensional approximate cloaking system based on the transformation acoustics and show that the cloaking effect may be deteriorated at zeroth order Neumann eigenvalues of the concealed region. In particular, transmitted fields into the concealed region can be extremely resonated at frequencies corresponding to the zeroth-order Neumann eigenvalues while scattered fields are suppressed well for any frequency. To enhance the cloaking effect at resonance frequencies, we introduce a lossy medium inside the cloaked region and show that the new proposal can reduce the intensity of transmitted fields significantly due to the lossy medium.