| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Analysis of Imperfect Acoustic Cloaking Resonances |
| KIM Seungil** |
Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Korea
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| Cite this article: |
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KIM Seungil 2012 Chin. Phys. Lett. 29 124301 |
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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.
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Received: 21 August 2012
Published: 04 March 2013
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| PACS: |
43.20.Bi
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(Mathematical theory of wave propagation)
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43.20.Fn
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(Scattering of acoustic waves)
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43.20.+g
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(General linear acoustics)
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[1] Greenleaf A, Lassas M and Uhlmann G 2003 Commun. Pure Appl. Math. 56 328
[2] Greenleaf A, Lassas M and Uhlmann G 2003 Math. Res. Lett. 10 685
[3] Pendry J B, Schurig D and Smith D R 2006 Science 312 1780
[4] Chen H and Chan C T 2007 Appl. Phys. Lett. 91 183518
[5] Cummer S A and Schurig D 2007 New J. Phys. 9 45
[6] Greenleaf A, Kurylev Y, Lassas M and Uhlmann G 2007 Commun. Math. Phys. 275 749
[7] Norris A N 2008 Proc. R. Soc. A 464 2411
[8] Torrent D and Sánchez-Dehesa J 2008 New J. Phys. 10 063015
[9] Chen H and Chan C T 2010 J. Phys. D: Appl. Phys. 43 113001
[10] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F and Smith D R 2006 Science 314 977
[11] Greenleaf A, Kurylev Y, Lassas M and Uhlmann G 2008 New J. Phys. 10 115024
[12] Ruan Z, Yan M, Neff C W and Qiu M 2007 Phys. Rev. Lett. 99 113903
[13] Cheng Y and Liu X J 2009 Chin. Phys. Lett. 26 014301
[14] Kundtz N, Gaultney D and Smith D R 2010 New J. Phys. 12 043039
[15] Cheng Y and Liu X J 2008 Appl. Phys. Lett. 93 071903
[16] Cai L W and Sánchez-Dehesa J 2007 New J. Phys. 9 450
[17] Cheng Y, Yang F, Xu J Y and Liu X J 2008 Appl. Phys. Lett. 92 151913
[18] Chen H, Liang Z, Yao P, Jiang X, Ma H and Chan C T 2007 Phys. Rev. B 76 241104
[19] Abramowitz M and Stegun I A 1964 Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (New York: Dover) chap 9 p 355 |
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