Attenuation and localization of an electromagnetic wave on the surface of a cylindrical conductor

An analytical study of the linear attenuation and the rate of localization of the energy of an electromagnetic wave propagating on the surface of a cylinder coated with a dielectric and imbedded in another dielectric is presented. The system is described in cylindrical coordinates, and the second dielectric is regarded as being possibly air, as would happen in an antenna configuration. The attenuation of the signal is calculated for all values of the ratio of the radius of the external layer to the first, conductive cylinder radius, and the phase shift is shown to vary with the ratio. The losses of energy through the dielectric layer are shown to have a negligible impact on the distribution of energy on the cylinder surface.