Improving the Numerical Efficiency of Generalized Multipole Technique by Non-Redundant Multipole Choices

摘要

The Generalized Multipole Technique, due to its flexibility, is used in a variety of cases for the analysis of electromagnetic structures. This method is generally based on a multiple multipole expansion and a point matching technique. The numerical conditioning of the matrices involved in this analysis is strongly dependent on the matching point and the multipole distribution. In this contribution, we use the well-known Singular Value Decomposition to investigate systematically the numerical conditioning of these matrices. We suggest a method to improve the conditioning of the procedure in case of an ill-conditioned system and we validate it by evaluating the error in field matching and the far field radiation pattern in case of a radiating elliptical aperture.