Transport of bunched beams with space charge through a periodic lattice

We present a numerical study of beam transport through a FODO HEBT typical of proposed large current ion linear accelerator systems. Previous studies of this problem have usually assumed uniform and linear focusing forces. In contrast, our study includes non uniform focusing as well as nonlinearities associated with space charge forces, fringe fields and RF gaps. We examine current limits, beam mismatch and emittance growth. These simulations are conducted with the high order Northrop Grumman Topkark code, which implements the Garnett and Wangler 3-D space charge model. We compare our results to the analytic studies of Hofmann (1983), Reiser (1994) and others