Electromagnetic-wave diffraction by a strip grating with a layer of planar-stratified medium

A new solution approach to problem of wave diffraction by an inhomogeneous magnetodielectric layers, whose permittivity and permeability are piecewise continuous functions of a single spatial coordinate, was proposed in [1]. The approach is based on the reduction of the Helmholtz equation to the Riccati differential equation. The original numerical algorithm using a robust recurrence formula was constructed to calculate the solution integrals of the Riccati equation.In this work utilizing the results [1] we develop a high-performance method of the diffraction characteristics calculation for a periodic strip grating lying on an inhomogeneous dielectric layer. The excitation by an obliquely incident plane electromagnetic wave is considered.