Longitudinal beam dynamics

1- Fields and forces; acceleration by time varying fields; relativistic equations

 

2- Overview of acceleration; transit time factor; main RF parameters; momentum compaction factor; transition energy

 

3- Equations related to synchrotrons; synchronous particle; synchrotron oscillations; principle of phase stability

 

4- RF acceleration for synchronous and non-synchronous particles; small and large amplitude oscillations. Prerequisites: classical mechanics and electromagnetism