• DocumentCode
    2859908
  • Title

    The Gaussian approximation for a purely inductive wake function

  • Author

    Demma, T. ; Hirata, Kazufumi

  • Volume
    5
  • fYear
    2003
  • fDate
    12-16 May 2003
  • Firstpage
    2996
  • Abstract
    The equilibrium bunch length in electron storage rings with a purely inductive localized wake function has been studied, assuming the Gaussian approximation of the distribution function in phase space. The localized wake describes more general cases, even uniformly distributed wakes, described by the Haissinski equation. The comparison of our results with those obtained from Haissinski equation shows good agreement and helps understanding the validity of the Gaussian approximation.
  • Keywords
    Gaussian distribution; electron accelerators; particle beam bunching; particle beam diagnostics; storage rings; Gaussian approximation; Haissinski equation; distribution function; electron storage rings; equilibrium bunch length; inductive wake function; localized wake function; phase space; Distribution functions; Electromagnetic forces; Electrons; Equations; Gaussian approximation; Potential well; Stability analysis; Stochastic processes; Storage rings; Synchrotrons;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the
  • ISSN
    1063-3928
  • Print_ISBN
    0-7803-7738-9
  • Type

    conf

  • DOI
    10.1109/PAC.2003.1289792
  • Filename
    1289792