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: . The computations yield such things as the internal distribution of , the external 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.