Non-redundant implementation of method of auxiliary sources for smooth 2D geometries

An effective technique for the evaluation of the field scattered by large, smooth PEC profiles, based on the method of auxiliary sources is proposed. A criterion for positioning source and test point, a typical issue of this method, is proposed, showing that the scattering problem can be solved by using a number of unknowns slightly greater than two per wavelength, essentially coincident with the number of degrees of freedom of the scattered field. 2D numerical examples are presented and discussed.