Exploiting Planes of Magnetic Symmetry in the Fast Multipole Method

摘要

For the analysis of typical frequency-domain problems in EMC the method of moments (MoM) [1] is frequently used. The amount of memory required for a simulation is growing with the square of the number of unknowns N and the computation time is even growing with N~3. Because of this the classic MoM is only of limited applicability for the investigation of extended objects. In order to be able to analyze electrically large objects acceleration methods have to be applied which are capable to reduce the memory and time requirement of a MoM simulation. The fast multipole method (FMM) is such an approach [2], having a complexity of O(N~(3/2)) for both time and memory in its one level version. The focus of this paper is the exploitation of magnetic symmetry planes in an FMM-based analysis. It turns out that exploiting symmetry improves the performance of the numerical analysis yielding a reduction of computation time and memory requirement by more than 50%.