One generalisation of projective method for the wave diffraction problems

For the canonical problem of electrodynamic analysis of a waveguide step discontinuity a new system of interlinked integral equations has been derived, which depends on some continuous parameter. Varying this parameter the matrix models corresponding to both well-known methods of partial regions and other possible techniques, for which a geometric interpretation is absent, are obtained. This approach makes it possible to compare the properties of matrix operators and the effectiveness of some widely used methods of applied electrodynamics.