Longitudinal instabilities & Intensity effects

29 Jun 2023, 09:30
1h

Speaker

Elena Shaposhnikova

Description

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