About
The interaction of charged particles with the beam coupling impedance can lead to undamped or exponentially increasing oscillations in the longitudinal plane. To ensure the stability and reproducibility of beam parameters, many hadron synchrotrons must rely on Landau damping or active damping provided by feedback systems. Understanding the intensity threshold and beam evolution after perturbation is essential for pushing the performance of existing and future facilities. In these lectures, we first discuss the fundamentals of synchrotron motion and the role of the beam coupling impedance. Then, van Kampen modes and the formalisms for analysing beam stability are introduced. We use them to determine the threshold at which Landau damping is lost and examine two mechanisms of longitudinal single-bunch instabilities: azimuthal and radial mode coupling. Finally, the latest developments regarding multi-bunch instabilities are presented, and possible mitigation strategies are briefly discussed.
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The talk
Credits and licence
- Institution
- CERN
- Department
- CAS - CERN Accelerator School
- Speaker
- Ivan Karpov
- Year
- 2025
- Level
- Graduate
- Language
- English
- 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 Teens profiles and older, judged from what the source says about it. How courses are placed