About
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.
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The talk
Credits and licence
- Institution
- CERN
- Department
- CAS - CERN Accelerator School
- Speaker
- Frank Tecker
- Year
- 2025
- Level
- Graduate
- Language
- English
- Subjects
- Earth and environment
- Source
- CERN
- Licence
- CERN, as CERN states it. CERN's terms
- Attribution
- © CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
- Who can watch
- CERN gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed