Optical Range Electromagnetic Wave Propagation In One-Dimensional Photonic Crystal: Floquet - Bloch Function Analysis

An analysis of the light propagation in stratified periodic medium with stepped refraction index profile, considered as one-dimensional photonic crystal, is given; exact wave equation solution in a form of heterogeneous wave (Floquet - Bloch) is presented, a simple and explicit analytic expressions obtained for the field amplitude distribution and wave surfaces; rigorous analytic formulas derived for the reflectance of the semi-infinite photonic crystal; it is shown that the reflection coefficient peculiarities are joint with one-dimensional photonic crystal band structure peculiarities; the critical Floquet - Bloch wave extracted and studied for that of in bounded one-dimensional photonic crystal found localization conditions.