Electron Model of an FFAG Muon Accelerator

Parameters are derived for the lattice and RF system of an electron model of a non-scaling FFAG ring for accelerating muons. The model accelerates electrons from about 10 to about 20 MeV, and has about 15 m circumference. Magnet types and dimensions, spacing, half apertures, about 12 mm by 20 mm, and number of cells are presented. The tune variation with momentum covers several integers, similar to that in a full machine, and allows the study of resonance crossing. The consequences of misaligned magnets are studied by simulation. The variation of orbit length with momentum is less than 36 mm, and allows the study of acceleration outside a bucket. A 100 mm straight section, in each of the cells, is adequately long for an RF cavity operating at 3 GHz. Hamiltonian dynamics in longitudinal phase space close to transition is used to calculate the accelerating voltage needed. Acceleration is studied by simulation. Practical RF system design issues, e.g. RF power, and beam loading are estimated.