On the implementation of the method of moments for solving volume integral equations with inhomogeneous dielectric media

The volume integral equations (VIEs) are usually solved by the method of moments (MoM) with Schaubert-Wilton-Glisson (SWG) basis function but the traditional implementation scheme includes certain disadvantages. We suggest that the dyadic Green's function in the VIEs keep its original form without moving the del operator onto the basis and testing functions in the implementation. In this way, the problems caused by the charge density is removed although the hypersingularity of dyadic Green's function must be handled. With our technique of treating the hypersingularity, the suggested scheme is feasible and shows certain merits as demonstrated in the numerical example.