Alternative Electron Models of an FFAG Muon Accelerator

Parameters are derived for the lattice and RF system of two electron models of a non-scaling FFAG ring for accelerating muons. Both models accelerate electrons from about 10 to 20 MeV. Lattice parameters such as magnet types and dimensions, spacings, and number of cells are presented. The model circumferences are about 11 and 17 meters, respectively, and the magnet apertures are 12 mm X 18 mm. The parameters of the magnetic components are compared to those of existing magnets. The tune variation with momentum is similar to that in a full machine and would allow 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 would allow 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. The accelerating voltage needed is calculated. Practical RF system design issues, e.g. RF power, and the limit on the bunch population due to beam loading are estimated.