About
Charged particle beams naturally exhibit self-enhanced oscillations, or coherent instabilities, driven by the interaction between the particles in the beam through collective forces such as electromagnetic wake fields, space-charge, beam-beam, ions or electron clouds. Highlighting the fundamental difference between the collective motion and the one of individual particles, we discuss how a spread in velocities or oscillation frequencies in an ensemble of particles leads to a damping of collective oscillations through the mechanism of Landau damping. We then illustrate the Liouville theorem from which we derive the strength of Landau damping in a simplified configuration using the Van Kampen approach. Based on this model we define the concept of stability diagrams.
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The talk
Credits and licence
- Institution
- CERN
- Department
- CAS - CERN Accelerator School
- Speaker
- Xavier Buffat
- Year
- 2024
- Level
- Graduate
- Language
- English
- Subjects
- Physics
- 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