• DocumentCode
    334651
  • Title

    Nonlinear dynamics of single bunch instability

  • Author

    Stupakov, G.V. ; Breizman, B.N. ; Pekker, M.S.

  • Author_Institution
    Linear Accel. Center, Stanford Univ., CA, USA
  • Volume
    2
  • fYear
    1997
  • fDate
    12-16 May 1997
  • Firstpage
    1635
  • Abstract
    A nonlinear equation is derived that governs the evolution of the amplitude of unstable oscillations with account of quantum diffusion effects due to the synchrotron radiation. Numerical solutions to this equation predict a variety of possible scenarios of nonlinear evolution of the instability some of which are in good qualitative agreement with experimental observations
  • Keywords
    X-ray production; electron accelerators; nonlinear dynamical systems; particle beam bunching; particle beam stability; storage rings; electron storage rings; nonlinear dynamics; nonlinear equation; nonlinear evolution; numerical solutions; quantum diffusion; single bunch instability; synchrotron radiation; unstable oscillations; Acceleration; Damping; Distribution functions; Ear; Linear accelerators; Nonlinear equations; Particle accelerators; Phase measurement; Poisson equations; Synchrotron radiation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1997. Proceedings of the 1997
  • Conference_Location
    Vancouver, BC
  • Print_ISBN
    0-7803-4376-X
  • Type

    conf

  • DOI
    10.1109/PAC.1997.750784
  • Filename
    750784