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Ultrasound Transmission Through Periodically Perforated Plates

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Book cover Acoustic Metamaterials

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 166))

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Abstract

We study sound transmission through plates perforated with subwavelength holes. Experimental results are analyzed in the light of both a rigid solid model as well as a full elasto-acoustic theory. A discussion comparing sound and optics is given based upon an analytical framework. We show that, unlike light, sound is transmitted through individual subwavelength holes, in a perfectly rigid thin film approximately in proportion to their area. Moreover, hole arrays in perfectly rigid thin films do not exhibit full sound transmission due to the absence of lattice resonances. Therefore, the resonant full transmission observed in hole arrays is not extraordinary in the case of sound. However extraordinary sound screening well beyond that predicted by the mass law is observed. Finally, we find a strong interplay between Wood anomaly minima and intrinsic plate modes (Lamb modes), which results in fundamentally unique behavior of sound as compared to light.

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Acknowledgements

The authors wish to acknowledge financial support from projects MICINN MAT2010-16879, Consolider Nanolight.es CSD-2007-0046 of the Spanish Education and Science Ministry, and project PROMETEO/2010/043 of Generalitat Valenciana. H.E. acknowledges a CSIC-JAE scholarship.

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Authors and Affiliations

  1. Centro de Tecnologías Físicas, Unidad Asociada ICMM-CSIC/UPV, Universidad Politécnica de Valencia, Av. Naranjos s/n., 46022, Valencia, Spain

    Héctor Estrada, Pilar Candelas, Antonio Uris, Francisco Belmar & Francisco Meseguer

  2. Instituto de Ciencia de Materiales de Madrid (CSIC), Cantoblanco, 28049, Madrid, Spain

    Héctor Estrada & Francisco Meseguer

  3. Instituto de Óptica CSIC, Unidad Asociada CSIC-Universidade de Vigo, Serrano 121, 28006, Madrid, Spain

    F. Javier García de Abajo

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  1. Héctor Estrada
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Correspondence to Francisco Meseguer .

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  1. Department of Mathematics, Imperial College, South Kensington Campus, London, SW7 2BZ, United Kingdom

    Richard V. Craster

  2. Institut Fresnel CNRS, Rue du Coteau 71, Marseille, 13770, France

    Sébastien Guenneau

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Estrada, H., García de Abajo, F.J., Candelas, P., Uris, A., Belmar, F., Meseguer, F. (2013). Ultrasound Transmission Through Periodically Perforated Plates. In: Craster, R., Guenneau, S. (eds) Acoustic Metamaterials. Springer Series in Materials Science, vol 166. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4813-2_4

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