ACCURACY ANALYSIS AND OPTIMIZATION OF THE METHOD OF AUXILIARY SOURCES (MAS) FOR SCATTERING FROM A DIELECTRIC CIRCULAR CYLINDER

摘要

This paper presents a rigorous error analysis of the Method of Auxiliary Sources (MAS), when the latter is applied to the solution of the electromagnetic scattering problem involving a circular, dielectric cylinder of infinite length. The MAS matrix is shown to be analytically invertible via advanced eigenvalue analysis, and thus an exact expression for the discretization error can be derived. Large discretization errors are proven to be partly associated with internal1 resonances of the scattering body. Furthermore, an exact, analytical formula for the condition number of the linear system is extracted, and its properties ate utilized to explain many aspects of the irregular behavior of the computational enor, resulting from numerical matrix inversion. Finally, the optimal locations of both sets of auxiliary sources (inner and outer) are determined, on the grounds of error minimization.