• DocumentCode
    2110690
  • Title

    Application of differential-and-Lie algebraic techniques to the orbit dynamics of cyclotrons

  • Author

    Davies, W.G. ; Douglas, S.R. ; Pusch, G.D. ; Lee-Whiting, G.E.

  • Author_Institution
    AECL, Chalk River Lab., Ont., Canada
  • fYear
    1991
  • fDate
    6-9 May 1991
  • Firstpage
    303
  • Abstract
    An orbit-dynamics code, DACYC, is being developed for the TASCC superconducting cyclotron. DACYC makes use of differential algebra and Lie algebra to calculate and analyze partial, one and/or multiturn maps to very high order. Accurate, three-dimensional, analytic models of the magnetic and RF fields, which satisfy Maxwell´s equations exactly are used. The maps can be analyzed with normal-form methods or to produce linear or high-order phase-space plots.<>
  • Keywords
    Lie algebras; cyclotrons; particle beam diagnostics; physics computing; DACYC; Lie algebra; TASCC superconducting cyclotron; differential algebra; multiturn maps; orbit-dynamics code; phase-space plots; Algebra; Coils; Cyclotrons; Laboratories; Magnetic analysis; Magnetic fields; Maxwell equations; Orbital calculations; Rivers; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
  • Conference_Location
    San Francisco, CA, USA
  • Print_ISBN
    0-7803-0135-8
  • Type

    conf

  • DOI
    10.1109/PAC.1991.164282
  • Filename
    164282