Phys. Rev. Lett. 80, 5325 - 5328 (1998)

Sound Attenuation by a Two-Dimensional Array of Rigid Cylinders

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J. V. Sánchez-Pérez1, D. Caballero2, R. Mártinez-Sala1, C. Rubio1, J. Sánchez-Dehesa2 *, F. Meseguer1,3 , J. Llinares1, and F. Gálvez1
1Unidad Asociada Consejo Superior de Investigaciones Científicas, Departamento de Física Aplicada, Universidad Politécnica de Valencia, Camino de Vera, E-46022 Valencia, Spain
2Departamento de Física Teórica de la Materia Condensada, Facultad de Ciencias (C-5), Universidad Autónoma de Madrid, E-28049 Madrid, Spain
3Instituto de Ciencia de Materiales, Consejo Superior de Investigaciones Científicas, Campus de Cantoblanco, E-28049 Madrid, Spain

Featured in Phys. Rev. Focus Received 26 February 1998

In this Letter we present an experimental analysis of the acoustic transmission of a two-dimensional periodic array of rigid cylinders in air with two different geometrical configurations: square and triangular. In both configurations, and above a certain filling fraction, we observe an overlap, in the range of the audible frequencies, between the attenuation peaks measured along the two high-symmetry directions of the Brillouin zone. This effect is considered as the fingerprint of the existence of a full acoustic gap. Nevertheless, the comparison with our calculation of band structures shows that the triangular lattice has band states in that frequency range. We call them deaf bands. This contradictory result is explained by looking at the symmetry of the deaf bands; they cannot be excited by experiments of sound transmission.


©1998 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.80.5325
DOI: 10.1103/PhysRevLett.80.5325
PACS: 43.20.+g, 42.25.Bs, 52.35.Dm

* Authors to whom correspondence should be addressed.Electronic addresses: jsdehesa@uamca3.fmc.uam.es,fmese@fis.upv.es

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