Thin conducting screen in a waveguide structure: the problem of diffraction and the problem of transmission

The diffraction problem and the transmission problem for an electromagnetic wave on a thin conducting screen in a plane waveguide are reduced to a paired summatory functional equation with respect to coefficients of the Fourier expansion. The paired equation is equivalent to an infinite set of linear equations. This set is solved by the truncation method. The authors obtain a computational scheme for solving the transmission problem on the screen in the open space.