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Crystals 2016, 6(5), 51; doi:10.3390/cryst6050051

Broadband Transmission Loss Using the Overlap of Resonances in 3D Sonic Crystals

1
Laboratoire DRIVE-ISAT, 49 rue Mademoiselle Bourgeois, 58027 Nevers Cedex, France
2
Laboratoire d’Acoustique de l’Université du Maine, Avenue Olivier Messiaen, Cedex 9, 72085 Le Mans, France
*
Author to whom correspondence should be addressed.
Academic Editors: Victor J. Sanchez-Morcillo, Luis M. Garcia-Raffi and Helmut Cölfen
Received: 25 March 2016 / Revised: 25 April 2016 / Accepted: 3 May 2016 / Published: 11 May 2016
(This article belongs to the Special Issue Phononic Crystals)
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Abstract

The acoustic properties of a three-dimensional sonic crystal made of square-rod rigid scatterers incorporating a periodic arrangement of quarter wavelength resonators are theoretically and experimentally reported in this work. The periodicity of the system produces Bragg band gaps that can be tuned in frequency by modifying the orientation of the square-rod scatterers with respect to the incident wave. In addition, the quarter wavelength resonators introduce resonant band gaps that can be tuned by coupling the neighbor resonators. Bragg and resonant band gaps can overlap allowing the wave propagation control inside the periodic resonant medium. In particular, we show theoretically and experimentally that this system can produce a broad frequency band gap exceeding two and a half octaves (from 590 Hz to 3220 Hz) with transmission lower than 3%. Finite element methods were used to calculate the dispersion relation of the locally resonant system. The visco-thermal losses were accounted for in the quarter wavelength resonators to simulate the wave propagation in the semi-infinite structures and to compare the numerical results with the experiments performed in an echo-free chamber. The simulations and the experimental results are in good agreement. This work motivates interesting applications of this system as acoustic audible filters. View Full-Text
Keywords: sonic crystals; acoustic metamaterials; acoustic band gap materials sonic crystals; acoustic metamaterials; acoustic band gap materials
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Lardeau, A.; Groby, J.-P.; Romero-García, V. Broadband Transmission Loss Using the Overlap of Resonances in 3D Sonic Crystals. Crystals 2016, 6, 51.

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