A Fast Multipole Approach to 2D Scattering Evaluation Based on a Non Redundant Implementation of the Method of Auxiliary Sources

Abstract

It has been recently shown that the Method of Auxiliary Sources is capable to solve the scattering problem for large smooth conductors, exploiting a number of unknowns substantially equal to the number of degrees of freedom of the scattered field. In this work, with reference with the 2D case, such MAS implementation is integrated with a Fast Multipole Method approach, thus achieving significant results in terms of memory savings and speed up of the impedance matrix inversion. Numerical examples are provided referring to PEC scatterers of elliptical shape.