On the Properties of Transparency Windows Near the Band Gap Edge of One-Dimensional Photonic Crystals

Abstract

In the general case of the confined one-dimensional photonic crystal (PC), the properties of transparency windows near the band gap, in which the field amplitude significantly increases, are studied using the perturbation theory. Expressions for the dependences of the maximum gain of the field amplitude, positions and widths of transparency windows on crystal thickness H and window number n are obtained; in this case, the knowledge of particular types of fields are not required. Expressions for the field in the crystal and the intensities of reflected and transmitted light, which are defined by the fields at the quasimomentum q0 corresponding to the band edge, are obtained.