Scattering H10 wave on diaphragme with gyromagnetic medium in rectangulary waveguide

The present paper concerns a new approach for the solution of a problem of diffraction of waveguide waves on a diaphragm of final thickness with a gyromagnetic medium. At the first stage the method of the Fourier gains an infinite system of the linear equations concerning two sequences of unknown field-form factors in the ferrite resonator. At the second stage an interpolation formula of Lagrange is applied to its solution with a special view of base function that allows essentially simplifying the initial system of the equations which can be solved analytically in the closed view for integral values of the relation of random widths of a waveguide to width of a diaphragm at any material parameters of a gyrotropic medium. In a limiting case of full filling with the gyromagnetic medium the solution passes in the known one.