Hyperbolic Magnetophotonic Crystals with Gyrotropic Layers. Dispersion Characteristics

Abstract

We solved the problem of the Floquet-Bloch waves propagation in one-dimensional magnetophotonic crystal with hyperbolic and gyrotropic layers in the presence of a transverse magnetic field. New fundamental solutions of the Hill equation based on the third boundary-value problem with Cauchy boundary conditions are explicitly obtained in crystal layers. The dispersion equation is obtained in analytical form and its roots are found. The dispersion properties of hyperbolic media and magnetophotonic crystals with hyperbolic and gyrotropic layers are analyzed, and the main features of the propagation of TE and TM waves for two types of hyperbolicity in the presence of gyrotropy of the medium layers are elucidated.