A ‘Charge and current’ formulation of the Electric Field Integral Equation

An alternate form of the EFIE, depending on both current and charge, has been implemented and verified. A brief overview of the underlying theory will be given, and the derivation of an implementable form will be discussed. Techniques and formulas for handling the singularities have been worked out. The stability of an implementation has then been examined and found to be significantly better than the standard EFIE. Accuracy is then verified by comparing the computed charge, current and scattering to simplified solutions at DC and to more exact solutions over a large frequency band. The end result is an implementation of the EFIE that, combined with a previously-presented MFIE, can compute the charge and current induced on a perfect conductor in a stable and accurate fashion. Future work, specifically extending this method to dielectrics, will also briefly be discussed.