Optics design of Intrabeam Scattering dominated damping rings

A e+/e- linear collider, the Compact Linear Collider (CLIC) is under design at CERN, aiming to explore the terascale particle physics regime. The collider has been optimized at 3 TeV center of mass energy and targets a luminosity of 1034 cm-2 s-1. In order to achieve this high luminosity, high intensity bunches with ultra low emittances, in all three planes, are required. The generation of ultra low emittance is achieved in the Damping Rings (DR) complex of the collider. The large input beam emittances, especially the ones coming from the positron source, and the requirement of ultra low emittance production in a fast repetition time of 20 ms, imply that the beam damping is done in two stages. Thus, a main-damping ring (DR) and a predamping ring (PDR) are needed, for each particle species. The high bunch brightness gives rise to several collective effects, with Intra-beam scattering (IBS) being the main limitation to the ultra-low emittance. This thesis elaborates the lattice design and non-linear optimization of a positron pre-damping ring and the lattice optimization of a damping ring, under the influence of IBS. Several theoretical models, describing this effect, are discussed and compared for different lattices, while two multi-particle tracking algorithms are bench-marked with the theoretical models. Finally, IBS measurement results, at the Swiss Light Source (SLS) and the Cornell electron storage ring Test Accelerator (Cesr-TA), are presented and compared with theoretical predictions