Mathematical Models of Electromagnetic Wave Scattering by Two-Element Strip Grating with a Perpendicularly Magnetized Gyrotropic Medium.

摘要

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 Cauchy kernel and its numerical solving by the discrete singularities method. In this paper, the results obtained in 1-3 are generalized for the case of periodic structure consisting of two strips of different widths per period (two-element grating). This results in richer diffraction phenomena in comparison to simple grating because of additional control parameters. Moreover, unlike papers 1-3 here the case of oblique incidence of an H-polarized plane wave on a two-element grating is considered. The center of coordinate system is chosen in the middle of one of the strips.