The Stray and Demagnetizing Field of a Homogeneously Magnetized Tetrahedron

The stray and demagnetization field tensor for a homogeneously magnetized tetrahedron is found analytically. The tetrahedron is a special case of four triangular faces with constant magnetization-charge surface density, for which we also determine the tensor field. The tensor field is implemented in the open-source micromagnetic and magnetostatic simulation framework MagTense and compared with the obtained magnetic field from a finite-element model solution, showing excellent agreement. This result is important for modeling magnetostatics in general and for micromagnetism in particular because the demagnetizing field of an arbitrary body discretized using conventional meshing techniques is significantly simplified with this approach.