Effective propagation in a perturbed periodic structure Export

@article{citeulike:4733282, abstract = {In a recent paper [D. Torrent, A. Hakansson, F. Cervera, and J. S\ánchez-Dehesa, Phys. Rev. Lett. 96, 204302 (2006)] inspected the effective parameters of a cluster containing an ensemble of scatterers with a periodic or a weakly disordered arrangement. A small amount of disorder is shown to have a small influence on the characteristics of the acoustic wave propagation with respect to the periodic case. In this Brief Report, we inspect further the effect of a deviation in the scatterer distribution from the periodic distribution. The quasicrystalline approximation is shown to be an efficient tool to quantify this effect. An analytical formula for the effective wave number is obtained in one-dimensional acoustic medium and is compared with the Berryman result in the low-frequency limit. Direct numerical calculations show a good agreement with the analytical predictions.}, author = {Maurel, Agn\`{e}s and Pagneux, Vincent}, citeulike-article-id = {4733282}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000078000005052301000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRB/v78/e052301}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevB.78.052301}, doi = {10.1103/PhysRevB.78.052301}, journal = {Physical Review B (Condensed Matter and Materials Physics)}, keywords = {acoustic, physics, scattering}, number = {5}, pages = {052301+}, posted-at = {2009-11-10 13:32:57}, priority = {2}, publisher = {APS}, title = {Effective propagation in a perturbed periodic structure}, url = {http://dx.doi.org/10.1103/PhysRevB.78.052301}, volume = {78}, year = {2008} }

TY - JOUR ID - citeulike:4733282 L3 - citeulike-article-id:4733282 N2 - In a recent paper [D. Torrent, A. Hakansson, F. Cervera, and J. Sánchez-Dehesa, Phys. Rev. Lett. 96, 204302 (2006)] inspected the effective parameters of a cluster containing an ensemble of scatterers with a periodic or a weakly disordered arrangement. A small amount of disorder is shown to have a small influence on the characteristics of the acoustic wave propagation with respect to the periodic case. In this Brief Report, we inspect further the effect of a deviation in the scatterer distribution from the periodic distribution. The quasicrystalline approximation is shown to be an efficient tool to quantify this effect. An analytical formula for the effective wave number is obtained in one-dimensional acoustic medium and is compared with the Berryman result in the low-frequency limit. Direct numerical calculations show a good agreement with the analytical predictions. IS - 5 JF - Physical Review B (Condensed Matter and Materials Physics) TI - Effective propagation in a perturbed periodic structure PB - APS VL - 78 SP - 052301 KW - acoustic KW - physics KW - scattering AU - Maurel, Agn\`{e}s AU - Pagneux, Vincent PY - 2008/// UR - http://dx.doi.org/10.1103/PhysRevB.78.052301 ER -