A signature of fixed-field acceleration is that the orbit of the beam centroid unavoidably changes with energy, resulting in a phase slip of the particle beam relative to a fixed-frequency accelerating waveform. The present work explores the influence of the fixed points and of rf manipulations on the longitudinal dynamics in FFAGs with path-length dependencies on kinetic energy; emphasis is given to quadratic dependence as occurs in a type of accelerator currently proposed for rapid acceleration of muons.
展开▼
