Original methods for determining the effective electrophysical parameters of two-dimensional metallic photonic crystals, applicable in a wide frequency range from radio to visible ranges are researched. In contrast to the currently widespread analytical approaches to describing such parameters, the subject of this article is the methods that can be used both for the rigorous numerical analysis and for the direct practical application. It is shown that in the radio and infrared ranges in the first allowed zone of photonic crystals the determination of their effective dielectric constant can be carried out either on the basis of studying the intrinsic resonance properties of spatially limited structures or by studying the processes of reflection and refraction at their boundaries. In the visible range metallic photonic crystals exhibit properties that are largely similar to those of solid metals. However, photonic crystals have significantly lower heat losses and a positive effective dielectric constant <1. This makes them promising for creating various devices for converting optical radiation. Determination of the effective electrophysical parameters at these frequencies is possible on the basis of a direct comparison of the amplitude-phase distributions of the field in photonic crystals and continuous media.
Band gap characterization and slow light effects in one dimensional photonic crystals based on silicon slot-waveguides
