• DocumentCode
    1866352
  • Title

    Two dimensional Child-Langmuir law

  • Author

    McGee, S. ; Lau, Y.Y. ; Gilgenbach, Ronald M. ; Luginsland, John W.

  • Author_Institution
    Michigan Univ., Ann Arbor, MI, USA
  • fYear
    1997
  • fDate
    19-22 May 1997
  • Firstpage
    195
  • Lastpage
    196
  • Abstract
    Summary form only given. By considering uniform emission of electrons over a finite strip of width W in a planar gap of gap separation D, we extend the classical 1-dimensional Child-Langmuir law to 2 dimensions. The analysis is done with two simulation codes, MAGIC and OOPIC; which yield similar results. These numerical results have been synthesized into a scaling law~3, which expresses the non-relativistic 2-dimensional limiting current density, J/sub CL/(2), in units of the classical 1-dimentional Child-Langmuir value, J/sub CL/(1).
  • Keywords
    current density; electron beam focusing; electron emission; electron optics; self-focusing; MAGIC; OOPIC; electrons; finite strip; gap separation; nonrelativistic 2-dimensional limiting current density; scaling law; self magnetic field effects; two dimensional Child-Langmuir law; uniform emission; Analytical models; Circuits; Current density; Electron emission; Equations; Laboratories; Magnetic analysis; Magnetic fields; Multichip modules; Strips;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Plasma Science, 1997. IEEE Conference Record - Abstracts., 1997 IEEE International Conference on
  • Conference_Location
    San Diego, CA, USA
  • ISSN
    0730-9244
  • Print_ISBN
    0-7803-3990-8
  • Type

    conf

  • DOI
    10.1109/PLASMA.1997.604805
  • Filename
    604805