• DocumentCode
    1011004
  • Title

    Aperture lens formula corrected for space charge in the electron stream

  • Author

    Birdsall, Charles K.

  • Author_Institution
    General Electric Microwave Lab., Palo Alto, Calif.
  • Volume
    4
  • Issue
    2
  • fYear
    1957
  • fDate
    4/1/1957 12:00:00 AM
  • Firstpage
    132
  • Lastpage
    134
  • Abstract
    The aperture lens formula of Davisson and Calbick is rederived to include the effect of space charge forces. The correction is applied to a parallel flow Pierce gun, leading to the focal length reduction as a function of perveance, e.g., 30 per cent reduction at perveance 3 × 10-6.
  • Keywords
    Apertures; Cathodes; Cities and towns; Electric variables measurement; Electron beams; Electron devices; Electron guns; Electrons; Fluid flow measurement; Gaussian processes; Length measurement; Lenses; Solids; Space charge; Velocity measurement;
  • fLanguage
    English
  • Journal_Title
    Electron Devices, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-2430
  • Type

    jour

  • DOI
    10.1109/T-ED.1957.14215
  • Filename
    1472194