About
The lectures present an introduction to longitudinal beam dynamics for circular accelerators. It presents different circular accelerator types (betatron, cyclotron, synchrocyclotron, synchrotron), and focuses more on the longitudinal beam dynamics in synchrotrons. The operation principle of synchrotrons is described, synchrotron oscillations in energy and phase are discussed together with their representation in phase space. The lecture discusses the equations of motion, the stability conditions for the longitudinal oscillations, and introduces the Hamiltonian of longitudinal synchrotron motion. It also explains the bunch transfer from one accelerator to the next and shows the importance of a proper matching of the longitudinal parameters. Finally, the RF manipulations in the PS for the generation of the bunch structure of the LHC beam are explained.
0:00:00 Slide 1
0:03:22 Slide 2
0:07:20 Slide 3
0:09:52 Slide 4
0:11:39 Slide 5
0:13:38 Slide 6
0:15:39 Slide 7
0:17:02 Slide 8
0:18:28 Slide 9
0:19:47 Slide 10
0:21:03 Slide 11
The talk
Credits and licence
- Institution
- CERN
- Department
- CAS - CERN Accelerator School
- Speaker
- Frank Tecker
- Year
- 2023
- 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