A fast magneto-static field simulation for the incorporation into a hybrid dynamic-static finite-integral algorithm

The incorporation of a priori knowledge of the electrostatic and magneto-static fields into the Finite-Integral algorithm leads to higher efficiency under the condition that the numerical effort for the static field calculations is smaller than that for the conventional full-wave Finite-Integral method. In the electro-static case, the scalar potential approach allows for a fast solution. In the magneto-static case, however, the common description applies a vector potential. The presented method shows a way how to calculate the magnetic field of arbitrary lossless 3D structures also by a scalar potential. The method is based on the insertion of potential partitioning surfaces (PPS) into the structure. The PPS' lead to a uniquely well defined scalar magnetic potential for the calculation of the magnetic field. Using the PPS method the numerical effort for the calculation of the magnetic field is reduced significantly.