Analysis of Imperfect Acoustic Cloaking Resonances
KIM Seungil**
Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Korea
Abstract ：We study the resonance phenomenon arising from imperfect acoustic cloaking in 2D based on a small perturbation of the transformation acoustics. It is shown that the resonant frequencies of imperfect cloaking appearing in the total scattering cross section converge to Dirichlet eigenvalues of the concealed region as a perturbation parameter approaches zero. This theory enables us to predict the location of the resonant frequencies of imperfect cloaking and to identify the corresponding resonance modes.
收稿日期: 2012-08-21
出版日期: 2013-03-04
:
43.20.Bi
(Mathematical theory of wave propagation)
43.20.Fn
(Scattering of acoustic waves)
43.20.+g
(General linear acoustics)
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2012, Vol. 29 
