Optimizing Non-scaling Ffag Lattices for Rapid Acceleration

An approach to fixed field acceleration using exclusively linear optical elements was first proposed[1, 2] and successfully developed[3, 4] to support rapid, large-emittance muon acceleration required by a Neutrino Factory or Muon Collider. This approach was termed, simply, a non-scaling, fixed field alternating gradient (FFAG) accelerator. Lattices have evolved from the simple F0D0-cell baseline first proposed to a slightly more complex layout that has usually been referred to as a triplet configuration. In this work a methodology is developed for optimizing non-scaling lattices which demonstrates that the appropriate description is minimum momentum compaction; that is least change in path length with momentum. This framework is then used to generate and compare lattices for rapid acceleration as for muon applications.