Linear Vlasov analysis for stability of a bunched beam Citations per year 2003 2004 2005 0 1 talk: Lucerne 2004 07 05 electron: storage ring storage ring: beam damping wake field Vlasov equation approximation: linear integral equations beam instability SLAC SLC Linac References(1) Figures(0)
Nonsingular Integral Equation for Stability of a Bunched Beam The linearized Vlasov equation for longitudinal motion of a bunched beam leads to a singular integral equation, the singularity being associated with the tune spectrum of the single-particle motion
Bunched Beam Longitudinal Stability - accelconf. web. cern. ch It can be seen that in-nal phase space can be cast into the form of an eigenvalue deed for ~=0 5, the stability boundary passes through t e problem for the beam current perturbation harmonics
Lecture 10 Single bunch longitudinal instabilities If this criterion is used for a bunched beam, it gives a crude estimate for the stability requirements of the beam In this context it is often called the Keil-Schnell or Keil-Schnell-Boussard criterion
A generalized Vlasov theory for composite beams - ScienceDirect Several problems are studied to compare the present theory with published results and a commercial three-dimensional finite element code The present work focuses on the issues concerning the use of the Vlasov correction in the context of the accuracy of the resulting beam theory