Upward travelling current wave excitation of overhead cable

We carry out a self-consistent analysis of the excitation of current on an overhead cable by a vertical current source. The ground plane is assumed to be a perfect conductor, but otherwise the solution obtained is quite general. It is shown, for the cable model adopted, two dominant modes are excited; one is the expected transmission line mode between the cable and the ground plane and the other is the coaxial mode between the center conductor and sheath. When generalized, results for the traveling wave source can simulate lightning, but this task is left for the future.