Abstract
We report the theoretical design and experimental demonstration of a three-dimensional (3D) omnidirectional and broadband metamaterial-based concentrator for airborne sound. The proposed mechanism uses a homogeneous anisotropic acoustic metamaterial with an ellipsoidal equifrequency contour to efficiently redirect the acoustic energy impinging on its outer surface into the central region, regardless of the incident direction. A design of the metamaterial unit cell is proposed as a practical implementation of our strategy, which is simply realized by perforating a solid spherical shell with a linearly shrinking cross section in the radial direction. We analytically and numerically prove that the non-resonant anisotropic effective acoustic parameters required for building the concentrator are produced with such a design. Good agreement is observed between the theoretical predictions and experimental measurements. An effective concentration of the incident acoustic energy is observed within a broadband that ranges 1000–1600 Hz. The experimental realization of this 3D acoustic concentrator with a simple design, low energy loss, replaceable constituent material, and omnidirectional and broadband functionality offers new possibilities for acoustic manipulations and may have important applications in a plethora of scenarios ranging from energy harvesting to noise mitigation.
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References
T. J. Dubinsky, C. Cuevas, M. K. Dighe, O. Kolokythas, and J. H. Hwang, Am. J. Roentgenol. 190, 191 (2008).
S. Lin, Ultrasonics 49, 206 (2009).
S. Kay, and J. Salisbury, J. Acoust. Soc. Am. 87, 1603 (1990).
L. Sandrin, S. Catheline, M. Tanter, X. Hennequin, and M. Fink, Ultrason Imag. 21, 259 (1999).
T. Nakamura, Y. Sato, T. Kamakura, and T. Anada, Jpn. J. Appl. Phys. 43, 3163 (2004).
Y. Sato, K. Mizutani, N. Wakatsuki, and T. Nakamura, Jpn. J. Appl. Phys. 47, 4354 (2008).
C. Chang, K. Firouzi, K. Kyu Park, A. F. Sarioglu, A. Nikoozadeh, H. S. Yoon, S. Vaithilingam, T. Carver, and B. T. Khuri-Yakub, J. Micromech. Microeng. 24, 085007 (2014).
J. Li, and C. T. Chan, Phys. Rev. E 70, 055602 (2004).
R. Q. Li, X. F. Zhu, B. Liang, Y. Li, X. Y. Zou, and J. C. Cheng, Appl. Phys. Lett. 99, 193507 (2011).
Y. Li, B. Liang, X. Tao, X. Zhu, X. Zou, and J. Cheng, Appl. Phys. Lett. 101, 233508 (2012).
Y. Li, B. Liang, Z. Gu, X. Zou, and J. Cheng, Appl. Phys. Lett. 103, 053505 (2013).
Y. Li, B. Liang, Z. M. Gu, X. Y. Zou, and J. C. Cheng, Sci. Rep. 3, 2546 (2013).
Y. Li, X. Jiang, R. Li, B. Liang, X. Zou, L. Yin, and J. Cheng, Phys. Rev. Appl. 2, 064002 (2014), arXiv: 1407.1138.
S. A. Cummer, and D. Schurig, New J. Phys. 9, 45 (2007).
H. Chen, and C. T. Chan, Appl. Phys. Lett. 91, 183518 (2007).
H. Chen, and C. T. Chan, J. Phys. D-Appl. Phys. 43, 113001 (2010).
M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, Photon. Nanostruct.-fundament. Appl. 6, 87 (2008).
W. X. Jiang, T. J. Cui, Q. Cheng, J. Y. Chin, X. M. Yang, R. Liu, and D. R. Smith, Appl. Phys. Lett. 92, 264101 (2008).
K. Zhang, Q. Wu, J. H. Fu, and L. W. Li, J. Opt. Soc. Am. B 28, 1573 (2011).
Y. R. Wang, H. Zhang, S. Y. Zhang, L. Fan, and H. X. Sun, J. Acoust. Soc. Am. 131, EL150 (2012).
M. H. Fakheri, A. Abdolali, and H. B. Sedeh, Phys. Rev. Appl. 13, 034004 (2020), arXiv: 1812.07442.
A. D. Boardman, V. V. Grimalsky, and Y. G. Rapoport, in Nonlinear transformational optics and electromagnetic and acoustic fields concentrators: The Fourth International Workshop on Theoretical and Computational Nanophotonics: Tacona-Photonics 2011 (American Institute of Physics, Bad Honnef, 2011), pp. 120–122.
J. Yang, M. Huang, C. Yang, and G. Cai, J. Vib. Acoust. 133, 061016 (2011).
Q. Wei, Y. Cheng, and X. Liu, Phys. Rev. B 86, 024303 (2012).
T. Li, M. Huang, J. Yang, Y. Li, and J. Yu, Acoust. Phys. 58, 642 (2012).
C. Li, L. Xu, L. Zhu, S. Zou, Q. H. Liu, Z. Wang, and H. Chen, Phys. Rev. Lett. 121, 104501 (2018).
D. Torrent, and J. Sánchez-Dehesa, New J. Phys. 10, 063015 (2008).
A. Climente, D. Torrent, and J. Sánchez-Dehesa, Appl. Phys. Lett. 100, 144103 (2012).
D. Torrent, and J. Sánchez-Dehesa, New J. Phys. 10, 023004 (2008).
J. Li, L. Fok, X. Yin, G. Bartal, and X. Zhang, Nat. Mater 8, 931 (2009).
Z. Gu, X Jiang, B. Liang, Y. Li, X. Zou, L. Yin, and J. Cheng, J. Appl. Phys. 117, 074502 (2015).
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This work was supported by the National Key R&D Program of China (Grant No. 2017YFA0303700), the National Natural Science Foundation of China (Grant Nos. 11634006, 11374157 and 81127901), and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
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Hu, C., Liang, B., Yang, J. et al. Experimental demonstration of a three-dimensional omnidirectional and broadband acoustic concentrator using an anisotropic metamaterial. Sci. China Phys. Mech. Astron. 64, 244304 (2021). https://doi.org/10.1007/s11433-020-1621-1
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DOI: https://doi.org/10.1007/s11433-020-1621-1