Accurate numerical solution of some diffraction problems for axisymmetric thin screens

We consider a wave diffraction problem associated with an electric dipole radiation in the presence of a finite array of circular perfectly conducting identical disks. An axial dipole is placed on the axis of rotational symmetry. A mathematically and numerically exact solution is obtained. By using the moment method combined with a partial inversion of the problem operator, the problem is reduced to a numerical solution of an infinite matrix equation set of the 2-nd kind. The Fredholm nature of the obtained equations ensures the existence of the unique solution. It is well known that the efficiency of the moment method strongly depends from the correct choice of basic functions. The set of basic functions used turns out to be very convenient one for such class of diffraction problems.