EFFECTIVE PERMITTIVITY TENSOR FOR A METAL-DIELECTRIC SUPERLATTICE

Abstract

We have derived simple analytical expressions for the frequency-dependent effective permittivity tensor of a one-dimensional metal-dielectric photonic crystal in the long wavelength limit. Our results describe the transition between the regime, described by Rytov’s formulas for sufficiently long waves, and that predicted by Xu et al. [6], where the effective plasma frequency is independent of the metallic-layer parameters. The derived expressions can be useful for determining the frequency intervals where such an anisotropic system can exhibit metamaterial behavior. Received 13 February 2011, Accepted 28 March 2011, Scheduled 31 March 2011 Corresponding author: Felipe Perez-Rodriguez (fperez@ifuap.buap.mx). 166 Zenteno-Mateo et al.