Straightforward field calculations for uniaxial hardmagnetic prisms: stray field distributions and dipolar coupling in regular arrays

Elements of hard- or moderately hardmagnetic materials may exhibit remanent states with a stable uniform magnetization distribution due to the high magnetocrystalline anisotropy energy. In this work, we present analytical calculations of magnetic field distributions arising from appropriate prismatic magnets and apply the results to the special case of hardmagnetic cuboids. The influence of the aspect ratio on the stray field distribution and its range is analysed. Based on these calculations a simple quasi-phase diagram for the emergence of dipolar coupling between individual elements with perpendicular easy axis in regular arrays is derived.