Abstract
The purpose of this thesis is to develop a particle tracking code for the booster synchrotron of Taiwan Photon Source (TPS). Issues of longitudinal beam dynamics during energy ramping were discussed, including noise effects and injection errors of beam from linear accelerator (linac). In the thesis, analytical approaches to various effects on beam dynamics were presented first. Then, the numerical approach employing multi particle tracking was used to simulate realistic situations and the results were compared with analytical ones in order to validate the simulation codes. In addition, beam dynamics has been characterized and discussed during energy ramping cycle from three bunches merging into one. Moreover, based on the developed simulation program, there have been a series of numerical experiments conducted to investigate the evolution of beam dynamical parameters involving those effects such as injection offsets, RF output phase modulations, and various noises. The results indicated that capture efficiency can be preserved (99.9 %) with an individually allowed fractional energy offset of 0.4 % and phase or time offsets of 0.63 rad or 200 psec from injection. Both interleaving effects are expected to further degrade the performance and their estimates are presented. The phase modulation strength less than 50 dBc (0.3 deg) at 180 Hz has been shown less effective on beam dynamical properties. Radio frequency (RF) amplitude and phase errors are also examined via particle tracking simulation. It is noted that the amplitude error within ± 1 % and phase error within ± 0.1 deg are tolerable for beam evolution during ramping process.