Matrix WKB solution for electromagnetic waves in an inhomogeneous gyrotropic layer

Abstract

A matrix solution 4x4 was obtained using the Wenzel-Kramers-Brillouin method for inclined incidence of a plane electromagnetic wave on an inhomogeneous gyrotropic torsion layer. The medium is affected by an external nonhomogeneous magnetic field reverses direction within the layer. Solutions for fields in the form of a fundamental matrix of the solution and the Cauchy matrix are obtained. The absolute values of the reflectance matrix coefficients and the reflection energy coefficients for the s and p polarized waves are calculated. The dependence of the cross-polarization coefficients of the reflection matrix of the total rotation angle of the external magnetic field vector within the layer is shown.