Using signal integral equations for solving a problem of wave diffraction on grating consisting of impedance plane non-uniform strips (Q1420646)

In studying the diffraction of electromagnetic waves on ideally conducting grid solution of boundary electrodynamic problems traditionally is reduced to solutions of the first and the second boundary problems of mathematical physics. Solution of the boundary electromagnetic problems for superconductors and superconductive coatings presumes an introduction of impedance boundary conditions corresponding to the solution of the third and the fourth boundary problems (a connection of the normal and the tangential derivatives) for such structures. An approach based on the integral Kantorovich-Lebedev transformation and singular integral equations is proposed in the article for the solution of the wave diffraction problem on a three-dimensional grid consisting of plane impedance non-regular strips with the third and the fourth boundary conditions.