Magnetostatic energy of a saturating cylinder

摘要

The magnetostatic self‐energy is calculated for a finite, ferromagnetic, right‐circular cylinder, which has no volume charge, and a constant surface‐charge density on the top and bottom ends. For the side of the cylinder, the charge density is assumed to be given by a (finite or infinite) power series inz, except for an adjustable strip in which the magnetization is already saturated so that the charge there vanishes. The result is expressed as a series of functions for which a recurrence relation is given.