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A Vlasov Solver for Longitudinal Dynamcis in Beam Delivery Systems for X-Ray FELs

  • Author(s): Venturini, Marco
  • Warnock, Robert
  • Zholents, Alexander
  • et al.
Abstract

Direct numerical methods for solving the Vlasov equation offer some advantages over macroparticle simulations, as they do not suffer from the consequences of the statistical fluctuations inherent in using a number of macroparticles smaller than thebunch population. Unfortunately these methods are more time-consuming and generally considered impractical in a full 6D phase space. However, in a lower-dimension phase space they may become attractive if the beam dynamics is sensitive to the presence of small charge-density fluctuations and a high resolution is needed. In this paper we present a 2D Vlasov solverfor studying the longitudinal beam dynamics in single-pass systems of interest for X-Ray FELs, where characterization of the microbunching instability stemming from self-field amplified noise is of particular relevance.

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