Evidence of Fano-Like Interference Phenomena in Locally Resonant Materials

C. Goffaux; J. Sánchez-Dehesa; A. Levy Yeyati; Ph. Lambin; A. Khelif; J. O. Vasseur; B. Djafari-Rouhani

doi:10.1103/PhysRevLett.88.225502

Evidence of Fano-Like Interference Phenomena in Locally Resonant Materials

C. Goffaux, J. Sánchez-Dehesa, A. Levy Yeyati, Ph. Lambin, A. Khelif, J. O. Vasseur, and B. Djafari-Rouhani

Phys. Rev. Lett. 88, 225502 – Published 15 May 2002

Abstract

Sonic crystals consisting of three-dimensional arrays of units which exhibit localized resonances have been discovered recently. Here, it is shown that their two-dimensional counterparts behave in a similar manner. Particularly, it is observed that the transmittance spectra show very asymmetric peaks which are explained as a Fano-like interference phenomenon. A finite difference time domain method is employed to perform a comprehensive study of the resonance line shape as a function of the mass density of the structural units. Also, a simple analytical model is introduced to give an intuitive account of the origin of the interference phenomenon.

Received 25 November 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.225502

Authors & Affiliations

C. Goffaux^*, J. Sánchez-Dehesa^†, and A. Levy Yeyati

Departamento de Física Teórica de la Materia Condensada, Facultad de Ciencias (C-5), Universidad Autónoma de Madrid, 28049 Madrid, Spain

Ph. Lambin and A. Khelif

Laboratoire de Physique du Solide, Facultés Universitaires Notre Dame de la Paix, 61 Rue de Bruxelles, 5000 Namur, Belgium

J. O. Vasseur and B. Djafari-Rouhani

Laboratoirede Dynamique et Structures des Materiaux Moleculaires, UPRESA CNRS 8024, UFR de Physique, Universite de Lille 1, F-59655 Villeneuve d'Ascq Cédex, France

^*Permanent address: Laboratoire de Physique du Solide, Facultés Universitaires Notre Dame de la Paix, 61 Rue de Bruxelles, 5000 Namur, Belgium.
^†Author to whom correspondence should be addressed.Email address: jose.sanchezdehesa@uam.es