Solution of the problem of electromagnetic pulses’ diffraction by variable separation method

Variable separation method (VSM) allows to obtain an analytical solution for a very small number of boundary problems of wavespsila scattering by metallic and dielectric bodies, but it can be used to construct numerical solution for a wide enough range of boundary problems. In the present work the wave equation was solved in cylindrical and spherical coordinate systems. Obtained results have methodical novelty and can be used as an alternative to present methods of solving of non-stationary problems of diffraction on two-dimensional bodies.