• DocumentCode
    1798660
  • Title

    Integral-differential model of quasi-periodic beam longitudinal dynamics

  • Author

    Rubtsova, Irina D.

  • Author_Institution
    St. Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2014
  • fDate
    June 30 2014-July 4 2014
  • Firstpage
    1
  • Lastpage
    1
  • Abstract
    Longitudinal dynamics of quasi-periodic axial-symmetric beam is considered. Space charge density is simulated by trigonometric polynomial. The coefficients of this polynomial are expressed in terms of coordinates and velocities of model particles. Beam evolution with particle interaction account is described by the system of integral-differential equations.
  • Keywords
    axial symmetry; differential equations; integral equations; particle beam dynamics; space charge; beam evolution; integral-differential equations; integral-differential model; particle interaction; quasiperiodic axial- symmetric beam; quasiperiodic beam longitudinal dynamics; space charge density; trigonometric polynomial; Educational institutions; Interpolation; Mathematical model; Particle beams; Polynomials; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-5319-6
  • Type

    conf

  • DOI
    10.1109/BDO.2014.6890071
  • Filename
    6890071