Accurate numerical solution of a diffraction problem for a non-equidistant axisymmetric structure consisting of circular disks

Abstract

Wave diffraction problems associated with electric dipole radiation in the presence of a finite non-equidistant array of circular perfectly conducting identical disks is considered. An axial dipole is placed on the axis of rotational symmetry. The aim of the work is to obtain a mathematically and numerically exact solution of the appropriate boundary problem. By using the moment method combined with a partial inversion of the problem operator, the problem reduces to numerically solving an infinite matrix equation set of the 2nd kind. The Fredholm nature of obtained equations ensures the existence of a unique solution.