• DocumentCode
    1898184
  • Title

    Sum betatron resonances under linear coupling of oscillations

  • Author

    Chirkov, P.N. ; Petrenko, I.I.

  • Author_Institution
    IHEP, Moscow, Russia
  • Volume
    5
  • fYear
    1995
  • fDate
    1-5 May 1995
  • Firstpage
    2792
  • Abstract
    The joint effect of an arbitrary sum resonance and a linear coupling resonance Qy-Qx=0 on stability of betatron oscillations in a circular accelerator is studied. The presence of linear coupling is shown to result in splitting of the cluster of sum resonance straight-lines into a family of hyperbolic curves. The analytic results obtained are verified by numerical simulations
  • Keywords
    betatrons; cyclic accelerators; numerical analysis; particle accelerators; particle beam stability; analytic results; arbitrary sum resonance; betatron oscillations stability; circular accelerator; hyperbolic curves; joint effect; linear oscillations coupling; numerical simulations; sum betatron resonances; Azimuth; Couplings; Energy exchange; Linear accelerators; Magnetic analysis; Magnetic fields; Magnetic resonance; Nonlinear equations; Numerical simulation; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1995., Proceedings of the 1995
  • Conference_Location
    Dallas, TX
  • Print_ISBN
    0-7803-2934-1
  • Type

    conf

  • DOI
    10.1109/PAC.1995.505695
  • Filename
    505695
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1898184