Diffusion Approximation to Surface Currents in a Long Metal Cylinder Due to Excitation by a Longitudinal Electric Field

In this paper a Green's function is developed to describe the surface current induced by a longitudinal time varying electric field on the surface of an infinite length, perfectly conducting cylinder imbedded in a homogeneous conducting medium. Accurate analytic approximations to this Green's function are also presented along with calculational results of the current response for specified electric field and conductivity behavior.