Simulation of two-dimensional periodic perfectly conducting diffraction grating with the dielectric layer

The paper shows the technique for simulation of a two-dimensional periodic perfectly conducting diffraction grating with the dielectric layer. The problem of determining the currents on the comb while scattering of electromagnetic waves was solved by the method of integral equations. Further, the theory of periodical structures was used. To account for the influence on the characteristics of the scattered field of the planar dielectric waveguide, parallel to the two-dimensional periodic pattern, the method of the generalized scattering matrix was applied. The results of the relative error analysis in the frequency of the Bragg resonance of the second order for the structural parameters are given.