A Chebyshev-Based High-Order-Accurate Integral Equation Solver for Maxwell’s Equations

This article introduces a new method for discretizing and solving integral equation formulations of Maxwell's equations, which achieves spectral accuracy smooth surfaces. The approach is based on hybrid Nyström-collocation using Chebyshev polynomials to expand the unknown current densities over curvilinear quadrilateral surface patches. As an example, proposed strategy applied magnetic field (MFIE) N-Müller formulation scattering from metallic dielectric objects, respectively. convergence studied several different geometries, including spheres, cubes, complex NURBS geometries imported CAD software, results are compared against commercial Method-of-Moments solver RWG basis functions.