Dynamics in a Spiral FFAG with Tilted Cavities.

[摘要] I develop a formulation for Hamiltonian dynamics in an accelerator with magnets whose edges follow a spiral. I demonstrate using this Hamiltonian that a spiral FFAG can be made perfectly 'scaling'. I describe how one computes the RF phase during a rapid acceleration cycle to keep the beam at the appropriate RF phase. I examine the effect of tilting an RF cavity with respect a radial line from the center of the machine, potentially with a different angle than the spiral of the magnets. I discuss partially the effects of the finite energy jumps on the dynamics. This is a status report of work that is still incomplete.

[发布日期] 2007-12-20 [发布机构] Brookhaven National Laboratory

[关键词] Hamiltonian;Acceleration;Fixed Field Alternating Gradient Accelerator;Cavities;43 Particle Accelerators