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Mathematical models of electromagnetic wave scattering by two-element strip grating with a perpendicularly magnetized gyrotropic medium

Two mathematical models are proposed for analyzing a linearly polarized plane wave scattering by a strip grating placed on isotropic-gyrotropic media interface in the case of oblique incidence. The first mathematical model is based on reducing the original boundary value problem to the Riemann-Hilbert problem. The second model is based on reducing the same problem to a singular integral equation of the first kind with a Cauchy kernel and its numerical solution by the discrete singularities method.