Fast solution of volume integral equations with complex materials

Accurate solution of electromagnetic (EM) problems with complex materials requires the formulation of volume integral equations (VIEs) in the integral equation approach. The VIEs are traditionally solved by the method of moments (MoM) with the Schaubert-Wilton-Glisson (SWG) basis function, but we propose a point-matching scheme which does not relies on any basis and testing functions and allows the use of nonconforming meshes. Also, the scheme enables the VIEs to be free of material parameters in the integral kernel, facilitating the incorporation with the multilevel fast multipole algorithm (MLFMA). Numerical examples are presented to demonstrate the scheme.