Space Charge and Longitudinal Stationarity in Bunched Beams
- Received Date: 2003-01-23
- Accepted Date: 1900-01-01
- Available Online: 2003-12-05
Abstract: Impedance modelling in an accelerator is reviewed in this paper,cutoff effects is discussed both from electrodynamics and beam dynamics points of view. From Vlasov-Maxwell equation,the general solution is derived for stationary distribution with space charge and arbitrary external fields and arbitrary distribution models,which can be applied in stability analysis and simulation. The stationary distributions of two example models are solved under high current paramet-ers of heavy-ion ring-accelerators. Longitudinal“dispersion”functions are also calculated from the solved stationary distributions,which are very important for Landau damping and stability in bunched beam.