Electromagnetic wave scattering by a doubly-periodic magnetodielectric layer

The problem of electromagnetic wave scattering by a double-periodic magneto-dielectric layer is solved by a new method based on rigorous integro-differential equations. The Galerkin method is applied to reduce these equations to a set of second-order differential ones with constant coefficients in functionals. The general moments of the solution are given. Scattering by some magnetodielectric structures including perfectly conducting ones are studied. Numerical results for transmission and reflection coefficients are presented.