The Method of Fictitious Sources in Studying a 2-D Scattering on Inhomogeneous Scatterers

In this study, a two-dimensional scattering problem is considered for a TM-polarized harmonic electromagnetic wave incident obliquely from a free space onto a cylinder with a rectangular cross section. An approximate solution to the appropriate boundary-value problem was obtained using the method of fictitious sources. Specifically, a modified version of this method was employed, incorporating the solution of the Laplace equation. The accuracy of the solution was validated by comparing it with results from numerical simulations performed using commercial finite difference software, as well as with the solution obtained from a numerical solver previously developed by the authors of the present study.