An approach to the numerical solution of the basic magnetostatic equation for a plane parallel plate with an arbitrarily shaped inclusion

A configuration of magnets consisting of a homogeneous plate with a defect in the form of an internal cavity or inclusion of arbitrary shape is considered. Relying on the basic integro-differential equation of magnetostatics for an external field of arbitrary configuration, an expression for the resultant magnetic field strength is obtained in terms of its normal component only on the boundary surface of the defect. An equation for determining this component is derived. A previous work by the authors is mentioned in which, for a special case of the situation under consideration, a numerical algorithm relying on the indicated equation is implemented and the resultant field components are plotted as functions of physical and geometric parameters of the considered configuration.