Mean-field theory of two-dimensional metallic photonic crystals

Abstract

Metallic photonic crystals have gaps starting from the null frequency. They can be used as antenna substrates. Using two computer codes based on rigorous scattering theories, we investigate the properties of nondoped and doped two-dimensional metallic photonic crystals. We show numerically that such a structure can simulate a material that has a plasmon frequency in the microwave domain. Below this frequency the crystal is opaque and acts as a good reflector. These calculations confirm both a conjecture made by specialists in solid-state physics and mathematical considerations developed by specialists in limit analysis.