Scattering of electromagnetic waves at edge of semiinfinite dielectric layer embedded in ideally conducting half-space

The problem of diffraction and scattering of electromagnetic waves in the quasi-optical range is solved for the model of a semiinfinite dielectric layer embedded in a metal occupying a half space. The fundamental integral equations are derived with the aid of appropriate Green functions for the two regions, with the dielectric layer assumed to fill a plane-parallel waveguide. This system of equations is solved numerically by the Krylov-Bogolyubov method, first using the general algorithm of this method and then using the much faster algorithm based on representation of the kernels by a series of exponential functions. The diffraction coefficients and the cross section for scattering obtained as a result can serve as a basis for calculations pertaining to partly coated metal objects and their wave scattering characteristics, also for error analysis of various approximate methods of calculation. Two-position diagrams of effective scattering cross sections were calculated on a YeS-1033 Unified System computer for three different angles of incidence.