Three-dimensional analytic model of the magnetic field for the Chalk River superconducting cyclotron

A three-dimensional analytic model of the magnetic field for the TASCC cyclotron that satisfies Maxwell's equations exactly has been constructed for use with the new differential-algebra orbit-dynamics code. The model includes: (1) the superconducting coils; (2) the saturated iron poles; (3) the partially saturated yoke; (4) the saturated iron trim rods. Lines of dipole density along the edges of the hills account for the non-uniformities and edge effects and along with three yoke constants constitute the only free parameters.<
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