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Coupled resonant modes in twisted acoustic metamaterials

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Abstract

Acoustic metamaterials constructed by resonant microelements in subwavelength scale were generally characterized by the effective medium approximation theory, which neglects the interaction between adjacent elements. In this paper, we show that twisting the orientation of resonators in acoustic metamaterials produces secondary coupled resonant modes by introducing internal vibration interaction. Metamaterials composed of a single-slit Helmholtz resonator arranged in two-dimensional square lattice are investigated. We rotate a portion of the resonator so that the adjacent resonators in a ΓX direction have a twist angle of φ. For the system with φ=180∘, the coupling interaction produces the symmetric coupled mode in in-phase oscillation and the antisymmetric coupled mode in out-of-phase oscillation. This acoustic analog of “hybridization effect” leads to a sharp transparency window in the extended locally-resonant forbidden gap, which is analogous to the phenomenon of electromagnetically induced transparency. Such coupled resonant modes may have potential applications in sound wave manipulations such as acoustic filtering and imaging.

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Acknowledgements

This work was supported by the National Basic Research Program of China under Grant No. 2012CB921504, NSFC (11074124, 11104139, and 10904052), SRFDP 20110091120040, and the Jiangsu Provincial Natural Science Foundation (BK2011542) and PAPD of Jiangsu higher education institutions.

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Authors and Affiliations

  1. Key Laboratory of Modern Acoustics, Nanjing University, Nanjing, 210093, China

    Ying Cheng & Xiaojun Liu

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  1. Ying Cheng
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  2. Xiaojun Liu
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Correspondence to Xiaojun Liu.

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Cheng, Y., Liu, X. Coupled resonant modes in twisted acoustic metamaterials. Appl. Phys. A 109, 805–811 (2012). https://doi.org/10.1007/s00339-012-7348-x

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  • DOI: https://doi.org/10.1007/s00339-012-7348-x

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