Space charge beam dynamics studies of the injection line and the main ring for the University of Maryland Electron Ring project

The injection line and main ring lattice designs for the University of Maryland Electron Ring have been studied numerically. Possible injection systems were designed using a fitting algorithm based on a set of generalized rms-envelope equations that include the effects of space charge and beam momentum dispersion. The beam dynamics of the injection into and through the periodical ring structure were also studied using a two-dimensional (2D) particle-in-cell (PIC) simulation. The main ring lattice was evaluated by tracking with higher order maps that included a linear space charge force. The results of these studies and a discussion of the range of validity of the models are presented.