Implementation of a multilevel fast far-field algorithm for solving electric-field integral equations

The implementation of a multilevel algorithm for the accurate method-of-moments (MoM) solution of the electric-field integral-equation (EFIE) formulation of electromagnetic-wave scattering by arbitrarily shaped objects is described. The technique makes use of the fast far-field algorithm. The Rao–Wilton–Glisson basis set is employed to represent the surface current induced on the scatterer. Numerical results are presented to demonstrate the accuracy which can be achieved with the technique. Despite the use of the far-field approximation, the method presented is a general one and, because of its simplicity, possesses advantages over currently available accelerated numerical iterative solvers for the EFIE.