The Method of Equivalent Dipole Moments (MEDM) - a Novel CBFM Approach for the Fast and Accurate Solution of Dielectric-Scattering Problems

High-resolution basis functions are em- ployed for accurate modelling of electromagnetic scattering from dielectric objects. It is shown that the field radiated by each of these micro basis func- tions resembles the dipole field, even in the imme- diate vicinity of its cubic support. This, in turn, significantly eases the computational burden of gen- erating the off-diagonal elements of the moment matrix. Furthermore, the on-diagonal self-term is known analytically and only governed by the electro- static field (electrodynamic part is negligible). This method has been hybridised with the Characteris- tic Basis Function Method (CBFM) and the Adap- tive Cross Approximation (ACA) algorithm to re- duce both the size and generation time of the mo- ment matrix equation. It is demonstrated that the proposed method, herein referred to as MEDM, is not only fast and memory efficient but it also gener- ates an accurate solution of scattering problems as- sociated with complex-shaped, thin and electrically large objects