The need for mixed-order representations with the locally corrected Nystrom method

Abstract

The locally corrected Nystrom method can be used to discretize the electric field integral equation (EFIE) for scattering from conducting surfaces. Previous implementations of this technique have employed polynomial-complete representations of the surface current density. Results suggest, however, that polynomial-complete expansions yield inaccurate cross-polarization surface currents. Mixed-order expansions that provide a self-consistent representation of the equivalent charge density appear to alleviate the difficulty.