Localizing the spatial and temporal electromagnetic fields on the axis of a lossy cylinder

Given a specified form, both in time and space, for the electromagnetic fields on the axis of a lossy cylinder, the authors determine, analytically, the required azimuthally symmetric source distribution on the surface of the cylinder that generates such internal fields. They then show that this source is equivalent to an array with finite number of cylindrical slots in a metal encasing that are impulsed by specified voltages at a finite sequence of discrete times. A confirming forward calculation exhibits excellent agreement between the specified field form and that generated by the array of cylindrical slots. Potential applications are to hyperthermic cancer therapy, bioelectromagnetics and nondestructive testing.