Accuracy analysis of the method of auxiliary sources (MAS) for scattering by a perfectly conducting cylinder

A rigorous accuracy analysis of the method of auxiliary sources (MAS), when applied to scattering problems is presented. A benchmark geometry, consisting of a perfectly conducting, infinite, circular cylinder, is chosen for clarity and simplicity. The MAS square matrix is inverted analytically, yielding exact mathematical expressions for the error and the condition number of the pertinent linear system. Among several important results of the analysis, the fundamental MAS question concerning the optimal location of the auxiliary sources is thoroughly investigated