Mixed-Potential Green's Functions for Sheet Electric Current Over Metal-Dielectric Cylindrical Structure

An efficient numerical-analytical approach is developed to calculate spatial mixed-potential Green's functions for sheet currents placed over a cylindrical circular metal rod with a dielectric substrate. The approach is based on a special annihilation technique, which allows performing the Inverse Fourier Transform in a very effective way. This technique includes numerical-analytical extraction and inversion of cases of 'bad behaviour' of the spectral Green's functions, due to slowly decaying asymptotes and poles. As a result the spatial Green's functions are represented in a form in which the contribution of the source singularity and the surface waves is given by separate terms.