Study of Single and Coupled-Bunch Instabilities for NSLS-II

We study single and coupled-bunch instabilities for the NSLS-II storage ring with a recently developed parallel tracking code. For accurate modelling of the coupled-bunch instability, we investigate improvements to current point-bunch models to take into account finite bunch-size effects. Accurate modelling of single and coupled-bunch instabilities is of crucial importance for the machine performance of light sources such as NSLS-II, that provide high current beams. The complexity of the model consists in the accurate calculation of the impedance of the various components of the ring that can excite single and multibunch instabilities via short and long range wakefields. Moreover, a full account of the coupling between transverse and longitudinal dynamics must be taken into account to study effects such as chromaticity and Landau cavity effects. A parallel algorithm for the study of single and coupled-bunch instabilities has been implemented in a particle tracking code. The theoretical framework for single bunch instabilities is the same used in the code TRANFT, while for coupled-bunch instabilities a self-consistent algorithm has been implemented to allow the study of finite bunch-size effects and multibunch effects in arbitrary filling modes. In this paper we present numerical studies of the microwave instability for NSLS-II and discuss the self-consistent algorithm for simulation of coupled-bunch instabilities.