Radiation and scattering from a point source on an inhomogeneous substrate

This study presents a powerful analytical approach to investigate wave propagation and radiation in the problem involving a point source on an inhomogeneous substrate. The proposed method is based on using Taylor´s series expansion for electromagnetic parameters and Fourier transformed electromagnetic fields of the inhomogeneous medium with continuous spatial variation. The fields in the Fourier domain are obtained by solving a system of linear coupled equations. The validity of the presented method is shown via some special examples. The results of the approach, simulation software and the available exact solutions are in very good agreement.