A Numerical Method for the Solution of Electromagnetic Wave Diffraction Problems on Perfectly Conducting Screens

A new numerical method is applied to the solution of electromagnetic wave diffraction problems on perfectly conducting screens. The method is based on a special class of Gaussian approximating functions that are used for discretization of the original integral equation of the problem. These functions essentially simplify the construction of the final matrix of the system of linear algebraic equations to which the problem is reduced after the discretization. The method is developed for the solution of 2D and 3D diffraction problems and the numerical results are compared with exact and approximate solutions existent in the literature. The method may be applied to the solution of a wide class of the problems of mathematical physics that can be reduced to boundary pseudo-differential equations.