Astrophysics and Space Science

, Volume 161, Issue 2, pp 247–252 | Cite as

Oscillatory nonlinear electron flow in a Pierce diode using Lagrange transform

  • S. K. El-Labany
  • G. Rowlands
Article
Received:

Abstract

Two integral equations for the electric field, characterizing the Pierce diode in the cold fluid regime are obtained by using Lagrange transform. These equations agree exactly with those obtained by Godfrey.

Keywords

Integral Equation Electron Flow Cold Fluid Fluid Regime Nonlinear Electron 
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References

  1. Davidson, R. C. and Schram, P. P.: 1968,Nuclear Fusion 8, 183.Google Scholar
  2. Godfrey, B. B.: 1983,Bull. Am. Phys. Soc 28, 1211.Google Scholar
  3. Godfrey, B. B.: 1987,Phys. Fluids 30, 1553.Google Scholar
  4. Kuhn, S.: 1984,Phys. Fluids 27, 1834.Google Scholar
  5. Pierce, J. R.: 1944,J. Appl. Phys. 15, 721.Google Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • S. K. El-Labany
    • 1
  • G. Rowlands
    • 2
  1. 1.Faculty of ScienceMansoura UniversityMansouraEgypt
  2. 2.Department of PhysicsUniversity of WarwickCoventryEngland

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