An equivalent dipole-moment method based multilevel fast multipole algorithm for dielectric objects

An equivalent dipole-moment method (EDM) based multilevel fast multipole algorithm (MLFMA), namely EDM-MLFMA, is proposed for the electromagnetic scattering from three-dimensional (3D) dielectric objects. In this scheme, the MLFMA is employed to accelerate the interactions of equivalent dipoles in the far regions by expanding the 3D dyadic Green's function into a multipole expression. The memory requirement and CPU time of the conventional EDM are reduced from O(N-2) to O(N log N), where N is the number of unknowns. Numerical results are presented to validate the efficiency and accuracy of this method.