An analysis of thin magnetic materials using hypersingular integral equations

This paper describes a two-dimensional analysis of magnetic fields with thin magnetic materials using hypersingular integral equations. In this analysis, the thin materials are modeled as infinitesimally thin sheets, on which hypersingular integral equations for the vector potential are formulated. The hypersingular integral equation is discretized by a boundary element method, on the basis of the Hadamard finite part integral, to numerically compute magnetic fields. The present method is shown to give an accurate magnetic field in a cylindrical magnetic shell with linear permeability. Moreover, numerical results for the shell with non-linear permeability are provided.