Divergence-Taylor-Orthogonal basis functions for the discretization of second-kind surface integral equations in the Method of Moments

Abstract

We present new implementations in the method of moments of two types of second-kind integral equations: (i) the recently proposed electric-magnetic field integral equation (EMFIE) for perfectly conducting objects, and (ii) the Muller formulation for homogeneous or piecewise homogeneous dielectric objects. We adopt the Taylor-orthogonal basis functions, a recently presented set of facet-oriented basis functions, which arise from the Taylor's expansion of the current at the centroids of the discretization triangles.