An effective method of numerical solution of a boundary electrodynamics problem for arbitrary conducting surfaces

Abstract

An alternative to Packlington’s and Harrington’s integral equations method of numerically solving a boundary electrodynamics problem for curvilinear perfectly conducing surfaces is suggested. The essence of this method consists in a joint solution of integral equations system with respect to the unknown complex vectors of current and charge density, the use of parametric mapping technique to represent the curvilinear surface, Galerkin’s method with boundary elements, “points sewing” method for Lorentz calibration. On an example of calculating the current distribution on a bicubic surface the advantages of the suggested method are demonstrated in comparison to Packlington’s and Harrington’s integral equations.