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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 3 Issue 2 (1998) pp 155-161
Sonic stop-bands for cubic arrays of rigid inclusions in air
M.S. Kushwaha (a), B. Djafari-Rouhani, L. Dobrzynski, J.O. Vasseur
Laboratoire de Dynamique et Structures des Matériaux Moléculaires (URA CNRS No. 801), U.F.R. de Physique, Université de Lille I, 59655 Villeneuve d'Ascq Cedex, France
Received: 24 October 1997 / Revised: 1 December 1997 and 26 January 1998 / Accepted: 6 March 1998
Abstract: Extensive band structures have been computed for cubic arrays of rigid spheres and cubes in air. Complete stop bands are obtained for the face-centered-cubic (fcc) structure; however, there is no gap for the body-centered-cubic (bcc) and simple-cubic (sc) structures. These gaps start opening up for a filling fraction of $\approx 54\%$ (27%) for spherical (cubic) inclusions and tend to increase with the filling fraction, exhibiting a maximum at the close-packing. We also propose a tandem structure that allows the achievement of an ultrawideband filter for environmental or industrial noise in the desired frequency range. This work is motivated by the recent experimental measurement of sound attenuation on the sculpture, by Eusebio Sempere, exhibited at the Juan March Foundation in Madrid (Nature 378, 241 (1995)) and complements the corresponding theoretical work (Appl. Phys. Lett. 70, 3218 (1997)).
PACS. 43.40.+s Structural acoustics and vibration - 63.20.-e Phonons in crystal lattices - 42.45.Fx Diffraction and scattering
(a) Permanent address: Institute of Physics, University of Puebla, Box J-48, Puebla 72570, Mexico. email: manvir@sirio.ifuap.buap.mx
Article in PDF-Format (360 KB)
Online publication: July 9, 1998
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