A method for the calculation of the field of three-dimensional bodies with a homogeneous magnetization

Abstract

ContentsThe field of three-dimensional magnetized bodies with uniform magnetization is analyzed using a new approach based on the method of primitive functions. The key factor of the procedure is to approximate the threedimensional body by cuboids with cover surfaces parallel to the coordinate planes. Hence, the magnetic field can be represented by the help of the sum of values of primitive functions at their corner points. The numerically determined results of the magnetic field strength of a sphere are compared with the exact ones in order to judge the applicability of the method proposed. Eine Methode zur Berechwung der

Magnetic Flux Density and Vector Potential of Uniform Polyhedral Sources

“…Denoting with the unit vector along the e-th edge of the face, which is by construction oriented according to , we obtain (15) Since we integrate over straight lines, the quantity is constant at the e-th edge. In bringing this factor outside the integral, we replace it with , where is an arbitrary fixed point of the edge, e.g., any of the vertices of .…”