Disclosed is an antenna feeding system and method to optimize the design of the feeding system to feed an antenna made of a resistive sheet. The system and method are operative to design a topology of the antenna feeding system to adapt to a topology of the resistive sheet antenna to mitigate the adverse effects caused by the inherent losses of resistive sheets while operating as antennas. The system is designed to reduce a convergence of radiofrequency currents that may create a localized high density current concentration, such as “hot spots” and “pinch points,” on the resistive sheet, by a sufficient extent so as to prevent power losses that substantially decrease the radiation efficiency of the antenna as compared with feeding systems designed using traditional design techniques.