• DocumentCode
    344962
  • Title

    An analytical approach to the Poisson equation in 3-dimensional space charge problems

  • Author

    Valero, S. ; Lapostolle, P. ; Lombardi, A.M. ; Pichoff, N. ; Tanke, E.

  • Author_Institution
    CEA, Centre d´´Etudes Nucleaires de Saclay, Gif-sur-Yvette, France
  • Volume
    3
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    1860
  • Abstract
    The problem of electrostatics repulsion between charged particles in a bunch is a classical mixed Dirichlet-Neumann problem. In this paper, an analytical solution of this problem is described. The approach proposed here can be extended to other problems in mathematical physics
  • Keywords
    Poisson equation; electrostatics; particle beam bunching; space charge; 3D space charge problems; Poisson equation; analytical approach; bunch; charged particles; classical mixed Dirichlet-Neumann problem; electrostatics repulsion; Density functional theory; Electrostatics; Extraterrestrial measurements; Particle accelerators; Particle beams; Physics; Poisson equations; Region 1; Space charge; Statistical distributions;
  • 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.1999.794284
  • Filename
    794284