• DocumentCode
    2885934
  • Title

    Extension of napoly integral for transverse wake potentials to general axisymmetric structure

  • Author

    Shobuda, Y. ; Chin, Y.H. ; Takata, K.

  • Author_Institution
    JAEA, Tokai
  • fYear
    2007
  • fDate
    25-29 June 2007
  • Firstpage
    3333
  • Lastpage
    3335
  • Abstract
    The Napoly integral for the wake potential calculations in the axisymmetric structure is a very useful method because the integration of Ez field can be confined in a finite length instead of the infinite length by deforming the integration path, which reduces CPU time for the accurate calculations. However, his original method could not be applied to the transverse wake potentials in a structure where the two beam tubes on both sides have unequal radii. In this case, the integration path needs to be a straight line and the integration stretches out to an infinite in principle. We generalize the Napoly integrals so that integrals are always confined in a finite length even when the two beam tubes have unequal radii, for both longitudinal and transverse wake potential calculations. The extended method has been successfully implemented to ABCI code.
  • Keywords
    beam handling techniques; particle beam dynamics; ABCI code; Napoly integral; general axisymmetric structure; longitudinal wake potential; transverse wake potentials; Beams; Electromagnetic fields; Erbium; Integral equations; Maxwell equations; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Particle Accelerator Conference, 2007. PAC. IEEE
  • Conference_Location
    Albuquerque, NM
  • Print_ISBN
    978-1-4244-0916-7
  • Type

    conf

  • DOI
    10.1109/PAC.2007.4440416
  • Filename
    4440416