• DocumentCode
    344947
  • Title

    Analytical investigation on the dynamic apertures of circular accelerators

  • Author

    Gao, J.

  • Author_Institution
    LAL, Orsay, France
  • Volume
    3
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    1815
  • Abstract
    In this paper by considering delta function sextupole and octupole perturbations and using difference action-angle variable equations, analytical formulae for the dynamic aperture of circular accelerators are derived based on the Chirikov criterion of the onset of stochastic motions
  • Keywords
    difference equations; electron accelerators; particle beam dynamics; particle beam stability; proton accelerators; stochastic processes; storage rings; Chirikov criterion; circular accelerators; delta function; difference action-angle variable equations; dynamic aperture; electron storage ring; octupole; proton storage ring; sextupole; stochastic motion; Acceleration; Apertures; Difference equations; Differential equations; Fasteners; Motion analysis; Nonlinear equations; Particle accelerators; Protons; Stochastic resonance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1999. Proceedings of the 1999
  • Conference_Location
    New York, NY
  • Print_ISBN
    0-7803-5573-3
  • Type

    conf

  • DOI
    10.1109/PAC.1999.794269
  • Filename
    794269