Abstract

VARGAS, J. A.  and  ARRIAGA, J.. Anisotropía en la propagación del sonido de un cristal fonónico desordenado. Superf. vacío [online]. 2009, vol.22, n.1, pp.15-18. ISSN 1665-3521.

We present theoretical results for the effective sound velocity of a two-dimensional disordered system composed by a hexagonal array of aluminum cylinders in air. Compared with the symmetric case we observe a small anisotropy induced by the disorder. We analyze a different type of disorder considering a random variation of the cylinders radii and we observe a bigger anisotropy for this case. Using the plane wave expansion method in the long wavelength limit (homogenization) previously developed together with a supercell containing 25 cylinders lightly disordered, we calculate the sound velocity in periodic systems.

Keywords : Phononic crystals; Homogenization; Sound velocity.

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