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Abstract
The scattering of electromagnetic waves by a periodic magnetodielectric layer is solved by the new method based on the rigorous integral equations of macroscopic electrodynamics. The general moments of the solution are given. Also the computer program for the numerical solution of the proposed scattering problem is developed. Taking into account permeability along with permittivity makes it possible to investigate the scattering by magnetodielectric structures approximating the structures made of perfect metal. There is an example of such approximation in the paper. The influence of modulation of magnetodielectric layer permittivity is displayed as an example.