Volumetric MLFMA formulation for dielectric targets in the presence of a half-space



[1] The fast multipole method (FMM) and the multilevel fast multipole algorithm (MLFMA) are extended to the analysis of volumetric electric field integral equations (VEFIE) for targets in the presence of a half-space, to calculate the electromagnetic fields scattered from dielectric scatterers situated above or within a half-space environment. The “near” interactions are handled via rigorous evaluation of the dyadic Green's functions, by using the discrete complex image technique (DCIT); the “far” interactions are calculated by considering image source elements and groups. Numerical results are presented for comparisons between the VEFIE and surface combined-field integral equation (SCFIE) MLFMA formulations.