On plane magnetic fields in saturable materials

The equations governing two-dimensional flux and potential fields in nonlinear soft magnetic materials can be converted into a pair of linear conditions by means of a Legendre transformation. On this basis and for certain classes of constitutive equations, exact solutions are found that describe configurations such as plane multipole fields and fields near corners and edges. In case of perfectly saturable materials the formation of perfectly permeable domains is observed, and their shapes are determined.<
>