ANALYTIC EXPRESSION FOR THE EFFECTIVE PLASMA FREQUENCY IN ONE-DIMENSIONAL METALLIC-DIELECTRIC PHOTONIC CRYSTAL

Abstract

In this work, an analytic expression to define the effective plasma frequency of an one-dimensional periodic system containing alternating dielectric and metallic slabs is proposed. Such metallic elements are considered to have a Drude dielectric function. The effective plasma frequency is obtained as a simple average of the constitutive materials, and its cutoff frequency for the propagating modes is compared with band structure calculations. We also explore the role of absorption in the transparency frequency cutoff.