High frequency scattering by a conducting circular cylinder coated with a lossy dielectric of non uniform thickness

Parrikar et al. (1991) obtained a series solution for the scattering by an impedance cylinder embedded in a nonconcentric dielectric cylinder. Later, Raghep et al. (1988, 1991) studied the elliptic cylinder coated by a nonconfocal dielectric coating. These solutions are rapidly converging only for cylinder sizes comparable to or smaller than the wavelength. For electrically larger cylinders asymptotic solutions are required. The present paper gives an analytical solution to high frequency scattering by a conducting circular cylinder coated with a lossy dielectric of nonuniform thickness. It is assumed that the coating is thin.