On the Diffraction of Electromagnetic Waves by Bodies with Non-Coordinate Boundaries

The possibility of numerical solving diffraction problems of electromagnetic wave by bodies with non-coordinate boundaries by reducing to infinite sets of linear algebraic equations is investigated. The coefficients of expansion of the unknown field in terms of eigen waves of coordinate domains are unknown objects. Expansions of the unknown field in terms of cylindrical and spherical waves are used for solving the problem of diffraction of an electromagnetic wave by a cylindrical rod with a non-coordinate boundary and the problem of diffraction of two-dimensional wave by the axis-symmetrical body.