Computation of magnetic fields within three-dimensional highly nonlinear media

A technique is presented for the computation of magnetic fields in three-dimensional multicomponent systems containing highly nonlinear materials when under the influence of current-carrying conductors. The materials must be nonhysteretic. The technique is based upon the utilization of a computer to solve:
H = H_{0} - \int \frac{\nabla' \cdot M'}{r^{2}} r^{0} d\tau' + \int \frac{n' \cdot M'}{r^{2}} r^{0} dS'
. The computations yield such things as the internal distribution of
M
, the external
H
fields, the forces between various magnetic components, and the forces between any magnetic component and the current-carrying conductors. An application to a system consisting of a superconducting solenoid and a yoke for field shaping and shielding is discussed.