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Ultra-sparse metasurface for high reflection of low-frequency sound based on artificial Mie resonances

Nature Materials volume 14, pages 1013–1019 (2015)Cite this article

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Abstract

Acoustic metamaterials offer great flexibility for manipulating sound waves and promise unprecedented functionality, ranging from transformation acoustics, super-resolution imaging to acoustic cloaking. However, the design of acoustic metamaterials with exciting functionality remains challenging with traditional approaches using classic acoustic elements such as Helmholtz resonators and membranes. Here we demonstrate an ultraslow-fluid-like particle with intense artificial Mie resonances for low-frequency airborne sound. Eigenstate analysis and effective parameter retrieval show two individual negative bands in the single-size unit cell, one of which exhibits a negative bulk modulus supported by the monopolar Mie resonance, whereas the other exhibits a negative mass density induced by the dipolar Mie resonance. The unique single-negative nature is used to develop an ultra-sparse subwavelength metasurface with high reflectance for low-frequency sound. We demonstrate a 0.15λ-thick, 15%-filling ratio metasurface with an insertion loss over 93.4%. The designed Mie resonators provide diverse routes to construct novel acoustic devices with versatile applications.

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Figure 1: Geometry design and physical model of the unit cell for the metasurface.
Figure 2: Field distributions of acoustic Mie-resonance modes in air supported by the unit cell.
Figure 3: Experimental demonstration of basic Mie resonance.
Figure 4: Effective acoustic parameters obtained from a single-layer metasurface.
Figure 5: Comparison between an ultra-sparse thin metasurface sample and a rigid cylinder array of the same size and arrangement.
Figure 6: Sound shielding performance and its operation.

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Acknowledgements

This work was supported by the National Basic Research Program of China (2012CB921504), NSFC (11274171 and 11474162), and SRFDP (20110091120040, 20120091110001 and 20130091130004).

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Authors and Affiliations

  1. Key Laboratory of Modern Acoustics, School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

    Y. Cheng, C. Zhou, B. G. Yuan, Q. Wei & X. J. Liu

  2. State Key Laboratory of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

    Y. Cheng & X. J. Liu

  3. School of Physics and Technology, Nanjing Normal University, Nanjing 210046, China

    D. J. Wu

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  1. Y. Cheng
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Contributions

X.J.L. coordinated and supervised the project. Y.C. developed the device concept and design. Y.C., C.Z. and B.G.Y. constructed the theoretical simulations and experimental set-up. D.J.W. and Q.W. provided insight and interpretation of the Mie-resonance properties. Y.C. and X.J.L. analysed the data and wrote the manuscript.

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Correspondence to X. J. Liu.

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The authors declare no competing financial interests.

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Cheng, Y., Zhou, C., Yuan, B. et al. Ultra-sparse metasurface for high reflection of low-frequency sound based on artificial Mie resonances. Nature Mater 14, 1013–1019 (2015). https://doi.org/10.1038/nmat4393

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