High frequency beam stacking in a cyclic accelerator

Abstract

When working out the theory of high frequency beam stacking in accelerators operating with a constant magnetic field it is important to take into account the perturbations of the beam which has already been stacked caused by later acceleration cycles. The main effect of these perturbations is to increase the energy spread of the beam and to alter its mean energy. This paper presents a general formulation of this problem and a solution is given for certain particular cases.