Paired Sum Equations and Singular Integral Equations in Electromagnetic Scattering by Open Conical Structures

摘要

The use of the Kontorovich-Lebedev integral transform together with the semi-inversion method is an effective approach to the solution of electrodynamic boundary value problems with open conical geometry. It permits one to construct a numerical-analytic algorithm for electromagnetic scattering by a cone with periodically arranged longitudinal slits (one ribbon per period) and to obtain a closed-form solution [1, 2]. For many-element structures (several ribbons of different widths per period), the problem is more complicated, and this approach encounters serious difficulties. The aim of the present paper is to construct a new method for solving boundary value problems for one- and many-element open conic structures on the basis of the technique of singular integral equations [3, 4].