Simulation studies of transverse resonance effects in space-charge-dominated beams

Particle-in-cell simulations exploring the effects of transverse envelope resonances on the emittance of space-charge-dominated beams have been carried out using a new 2-D transverse “slice” model in the WARP particle-in-cell code. In this paper, we consider resonances between an applied quadrupole field error and harmonics of the asymmetric mismatch mode of beam envelope oscillation. We examine both acceleration and bunching, and show that rapid passage through a major resonance significantly reduces the attendant emittance growth.