An integral equation for the current in an asymmetrically driven cylindrical antenna

The coupled integral equations for the transverse and the axial currents in a tubular antenna are derived for the case in which it is driven along an infinitesimally narrow circumferential gap by an EMF which is allowed to vary along the circumference. The cases where the EMF is assumed to be maintained either on the outside surface only, or on the inside surface only, or on both surfaces of the tube as in the conventional treatments of antenna theory are considered.