Analysis of rectangular-cell double-periodic magneto-dielectric gratings

The problem of electromagnetic wave scattering by a double-periodic grating is solved by a new method based on the rigorous volume integro-differential equations. The Galerkin method is applied to reduce these volume integro-differential equations to a set of second-order differential ones with constant coefficients in functionals. Numerical solutions were obtained for the simplest double-periodic magneto-dielectric rectangular-cell grating as an example of a structure with translational symmetry.