Plane-wave diffraction at a periodically corrugated interface between an isotropic medium and a gyroelectromagnetic uniaxial medium

A formulation of the Rayleigh method for modeling unidimensional periodically corrugated gyroelectromagnetic uniaxial gratings with shallow grooves is presented. The orientation of the preferred axis of the anisotropic medium is arbitrary and incidences from both media are considered. We show that the present method gives reliable results for groove height to period ratio up to 0.3. Numerical examples for sinusoidal gratings in classical and conical mountings are provided.