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Theory of coupled-bunch longitudinal instabilities in a storage ring for arbitrary rf potentials
2018
Physical Review Accelerators and Beams
We present a theory of coupled-bunch longitudinal instabilities that is based on the coupled set of Vlasov equations governing the particle distribution function, and can be applied to arbitrary longitudinal potentials. We find that the coupled-bunch growth rate is given by a dispersion relation that is parametrized by the eigenvalues of the linear (harmonic) coupled-bunch matrix problem. Our theory therefore treats the wakefield-driven source of the instability and the effect of Landau damping
doi:10.1103/physrevaccelbeams.21.124402
fatcat:gafolkgb6zaatnzvenimuqabuy