Detailed Calculations of a Small Model FFAG Mark Ib Accelerator: Parts A and B

TL;DRAbstract

A small Mark lb ring magnet with wide radial aperture and small momentum content has a large proportion of its circumference in fringing fields. The calculations described here are largely concerned with the treatment of such fringe fields and other non-uniformities of fields or gradients on the oscillations around the accelerator. Factors influencing injection into such a model are also discussed. The model has eight sectors, a final energy of about 0.5 Mev, a radius of roughly 50 cm, a radius of curvature of about 20 cm, and a radial aperture of 15 cm. The momentum multiplication is about 5.5. With a minimum gap between iron poles of about 4 cm and a straight section between reversed field magnets of about 4 cm length, the fringing field at the end of a magnet extends into the gap more than 2 cm. and the "straight” section is filled with fringing field. These calculations were made to determine the influence of such non-ideal effects on parameters which can be arrived at simply using

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