Matrix WKB solution for electromagnetic waves in an inhomogeneous gyrotropic medium

Abstract

A matrix solution 4x4 was obtained within the framework of the Wentzel–Kramers–Brillouin method for inclined incidence on a plane electromagnetic wave on an inhomogeneous gyrotropic layer in an external magnetic field with a direction changing in space. Using the obtained matrix solution, the absolute values of the reflectance matrix coefficients and the energy reflection coefficients for the s and p polarized waves are calculated. The dependence of the off-diagonal coefficients of the reflection matrix on the angle of the total rotation of the external magnetic field strength vector within the layer is shown.