June 18, 2023 to July 1, 2023
Europe/Zurich timezone

Longitudinal instabilities & Intensity effects

Jun 29, 2023, 9:30 AM


Elena Shaposhnikova


In this lecture, dealing with intensity effects, the equations of motion with induced beam voltage are analysed.
This allows, first, to describe single-bunch potential well distortion and loss of Landau damping. Then the linearised Vlasov equation is used to derive step-by-step the Lebedev equation. This matrix equation is applied to find the thresholds, growth rates and spectra of unstable multi-bunch beam. The lecture is concluded by discussion of possible beam-instability cures.

Presentation materials