Capacitance Matrix of a Pair of Dielectric Coated Cylinders of Unequal Diameters Above a Ground Plane

This paper presents a method of evaluation of a capacitance matrix of a pair of cylinders of unequal radii and dielectric width above a ground plane. The moment method using Fourier harmonic functions as the basis functions for the charge distribution is employed for the derivation of the four sets of simultaneous equations which lead to a partitioned matrix equation using point matching for testing. It is shown that the use of point matching for testing does not lead to a singular matrix when the cylinder pair is located at a finite height above a ground plane. For the special case of height equal to infinity, the moment matrix is found using Galerkin's technique and conformal transformation. Numerical data are presented.