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Enlightened by the tunable properties of effective density of the active acoustic metamaterial, we design an active infinite cylinder acoustic cloak according to the idea of the multilayer structured acoustic cloak with homogeneous isotropic materials. Utilizing the electrical analog, the dynamical equation of the acoustic cavity with Piezo-Diaphragm is presented. By analyzing the circuit diagram, the control strategy of achieving various effective densities which are used for constructing the acoustic cloak is given. Based on the necessary parameters such as the wide range values of the relative densities gained by active control, and the acoustic speed of each composite layer, the acoustic pressure field of the plane wave incident on the cloak is calculated, via the FEM model. Also the pressure map of a rigid cylinder scatterer with surrounded fluid is performed for comparison. Results show that outside the cloaking shell, the plane wave field is almost undisturbed. However inside the shell, the plane wavefronts are gradually deflected, and guided around the cloaked domain, returning to the original plane shape with small perturbation. This phenomenon making the cloak acoustically invisible in some frequency ranges has useful values in engineering applications. Finally, the total scattering cross section of the cloak is calculated to investigate the invisible effect according to the frequency domain. The total number of the composite active metamaterial layers is 15, which is much easier to realize in experiment.
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Keywords:
- cylindrical cloak /
- acoustic metamaterial /
- active control /
- acoustic invisible
[1] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[2] Cummer S A, Popa B-I, Schurig D, Smith D R, Pendry J B 2006 Phys. Rev. E 74 036621
[3] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[4] Cheng J C, Zou X Y 2009 Tech. Acoust. 28 11 (in Chinese) [程建春, 邹欣晔 2009 声学技术 28 11]
[5] Cummer S A, Popa B I, Schurig D, Smith D R, Pendry J 2008 Phys. Rev. Lett. 100 024301
[6] Chen H Y, Chan C T 2007 Appl. Phys. Lett. 91 183518
[7] Cheng Y, Xu J Y, Liu X J 2009 Piers Online 5 177
[8] Torrent D, Sánchez-Dehesa J 2009 Wave Motion 48 497
[9] Ma H, Qu S B, Xu Z, Wang J F 2009 Chin. Phys. B 18(03) 1123
[10] Ma H, Qu S B, Xu Z, Wang J F 2009 Chin. Phys. B 18(01) 179
[11] Ren C Y, Xiang Z H, Cen Z Z 2011 Chin. Phys. B 20 114301
[12] Wang X H, Qu S B, Xia S, Xu Z, Ma H, Wang J F, Gu C, Wu X, Lu L, Zhou H 2010 Chin. Phys. B 19 064101
[13] Cheng Y, Liu X J 2008 Appl. Phys. Lett. 93 071903
[14] Cummer S A, Schurig D 2007 New J. Phys. 9 45
[15] Torrent D, Sánchez-Dehesa J 2008 New J. Phys. 10 063015
[16] Cheng Y, Yang F, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 151913
[17] Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 arXiv: 0812.2954v3 [cond-mat-mtrl-sci]
[18] Baz A 2009 Proceedings of the ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Oxnard, California, USA September 21-23, 2009 p1
[19] Schoenberg M, Sen P N 1983 J. Acoust. Soc. Am. 73 61
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[1] Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[2] Cummer S A, Popa B-I, Schurig D, Smith D R, Pendry J B 2006 Phys. Rev. E 74 036621
[3] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 977
[4] Cheng J C, Zou X Y 2009 Tech. Acoust. 28 11 (in Chinese) [程建春, 邹欣晔 2009 声学技术 28 11]
[5] Cummer S A, Popa B I, Schurig D, Smith D R, Pendry J 2008 Phys. Rev. Lett. 100 024301
[6] Chen H Y, Chan C T 2007 Appl. Phys. Lett. 91 183518
[7] Cheng Y, Xu J Y, Liu X J 2009 Piers Online 5 177
[8] Torrent D, Sánchez-Dehesa J 2009 Wave Motion 48 497
[9] Ma H, Qu S B, Xu Z, Wang J F 2009 Chin. Phys. B 18(03) 1123
[10] Ma H, Qu S B, Xu Z, Wang J F 2009 Chin. Phys. B 18(01) 179
[11] Ren C Y, Xiang Z H, Cen Z Z 2011 Chin. Phys. B 20 114301
[12] Wang X H, Qu S B, Xia S, Xu Z, Ma H, Wang J F, Gu C, Wu X, Lu L, Zhou H 2010 Chin. Phys. B 19 064101
[13] Cheng Y, Liu X J 2008 Appl. Phys. Lett. 93 071903
[14] Cummer S A, Schurig D 2007 New J. Phys. 9 45
[15] Torrent D, Sánchez-Dehesa J 2008 New J. Phys. 10 063015
[16] Cheng Y, Yang F, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 151913
[17] Lee S H, Park C M, Seo Y M, Wang Z G, Kim C K 2009 arXiv: 0812.2954v3 [cond-mat-mtrl-sci]
[18] Baz A 2009 Proceedings of the ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Oxnard, California, USA September 21-23, 2009 p1
[19] Schoenberg M, Sen P N 1983 J. Acoust. Soc. Am. 73 61
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