Speaker
Description
This talk gives a short review of longitudinal beam dynamics for both linear and circular accelerators.
It covers the basics of acceleration in a linac. For radio-frequency (RF) acceleration, it introduces the concepts of synchronicity and the oscillation around the synchronous particle, including the criterium for stability of the oscillations.
For circular accelerators, the lecture focuses on synchrotrons, their operation principle and their longitudinal beam dynamics. It reviews the synchrotron oscillations, their stability conditions and their representation in longitudinal phase space. Then it explains the concept of longitudinal phase space matching and its importance when you transfer the beam from one accelerator to another. Finally, it presents the Hamiltonian for the longitudinal motion.