Fast, high-order, hybrid integral equation solver for electromagnetic scattering

A fast, high-order, hybrid integral equation solver for electromagnetic scattering is presented. The solver is based on a locally corrected Nystrom solution of a hybrid volume integral equation (VIE) and surface integral equation (SIE) formulation. The solution can be accelerated by quadrature-sampled pre-corrected FFT or the multilevel fast multipole method (MLFMM), or a combination of both schemes. The methods are validated in this paper through the study of the electromagnetic scattering of canonical geometries made of a composite of conducting and dielectric materials.