Novel grid-robust higher-order vector basis function for the method of moments

Abstract

A set of novel, grid-robust, higher-order vector basis functions for the method of moment (MoM) solution of integral equations for three-dimensional electromagnetic problems is proposed. These basis functions are defined over curvilinear triangular patches and represent the unknown electric current density within each patch using the Lagrange interpolation polynomials. The highlight of these basis functions is that the Lagrange interpolation points are chosen to be the same as the nodes of the well-developed Gaussian quadratures. The basis functions are implemented with point-matching for the MoM solution of the electric field integral equation (EFIE), the magnetic-field integral equation (MFIE), and the combined-field integral equation (CFIE).