A numerical analysis of electromagnetic scattering of perfect conducting cylinders by means of discrete singularity method improved by optimization process

In applying the discrete singularity method to electromagnetic scattering problems, it is important that the singularities be distributed in such a way as to obtain an accurate solution with fastest convergence and with fewer number of singular points for an arbitrary configuration of the scatterer. Here, a nonlinear optimization procedure based on the Marquardt method is developed which provides a way to determine the optimum distribution of singular points. The effectiveness of the procedure is demonstrated for the case of scattering by rectangular cylinders.