Acta Physica Hungarica

, Volume 72, Issue 1, pp 71–88 | Cite as

Equation for cathodic glow sheath

  • S. Holló
  • B. Nyíri


The classical one dimensional approach of cathodic glow discharge is extended into a two dimensional time dependent model. A radial ion transport equation is derived on the basis of the space charge balance. Axial effects are accounted for in a nonlinear source term. It is shown that the radial transport of the ions caused by the radial electric field can be described as a diffusion process with a cathode fall dependent diffusion coefficient. The effect of the motion of sheath boundary and the displacement current are also incorporated.

The model exhibits all of the well-known macroscopic phenomena of glow discharges: subnormal, normal, anomal glow behaviour; pressure dependence of voltage current characteristics; (nearly) piecewise constant current density distributions; the effect of absorbing or reflecting walls; stability limits; subnormal glow oscillations; the lateral spread of glow discharge.


Glow Discharge Cathode Surface Current Density Distribution Radial Electric Field Radial Transport 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    A. von Engel, Ionized Gases, Oxford U. P., New York, 1965.Google Scholar
  2. 2.
    B. N. Klyarfeld, L. G. Guseva and A. S. Pokroskava-Soboleva, Soviet Phys.-Techn. Phys.,11, 520, 1966.Google Scholar
  3. 3.
    K. G. Emeleus, Z. Physik,268, 175, 1974.CrossRefADSGoogle Scholar
  4. 4.
    J. H. Ingold, in: Gaseous Electronics, M. N. Hirsch and H. J. Oskam (eds), Academic Press, New York, 1978.Google Scholar
  5. 5.
    V. V. Vlasov, L. G. Guseva and B. N. Klyarfeld, 10th International Conference on Ionized Gases, Oxford, Contributed papers 98, 1971.Google Scholar
  6. 6.
    A. von Engel and M. Steenbeck, Elektrische Gasentladungen, Springer, Berlin, 1934.zbMATHGoogle Scholar
  7. 7.
    K. G. Emeleus, Int. J. Electronics,36, 1, 1974.CrossRefGoogle Scholar
  8. 8.
    K. G. Emeleus, J. Phys. D.,14, 2179, 1981.CrossRefADSGoogle Scholar
  9. 9.
    A. J. Ward, J. Appl. Phys.,33, 2789, 1962.CrossRefADSGoogle Scholar
  10. 10.
    A. J. Ward, IEEE Trans. Electron. Dev., ED10, 255, 1963.CrossRefGoogle Scholar
  11. 11.
    J. L. Neuringer, J. Appl. Phys.,49, 590, 1978.CrossRefADSGoogle Scholar
  12. 12.
    A. J. Davies and J. G. Evans, J. Phys. D.,13, 161, 1980.CrossRefADSGoogle Scholar
  13. 13.
    J. E. Lawler and D. A. Doughty, Symposium on Physics of Ionized Gases, Yugoslavia, Invited papers 293, 1986.Google Scholar
  14. 14.
    D. K. Doughty, E. A. Den Hartoy and J. E. Lawler, Appl. Phys. Lett.,45, 611, 1984.CrossRefADSGoogle Scholar
  15. 15.
    P. Bayle and A. Perrin, International Conference on Phenomena in Ionized Gases, Belgrade, Contributed Papers 1004, 1989.Google Scholar
  16. 16.
    K. G. Emeleus, Int. J. Electronics,51, 269, 1981.CrossRefGoogle Scholar
  17. 17.
    P. Bayle, J. Vacquié and M. Bayle, Phys. Rev.,A 34, 360, 1986.CrossRefADSGoogle Scholar
  18. 18.
    Tran Ngoc An, E. Marode and P. C. Johnson, J. Phys. D.,10, 2317, 1977.CrossRefADSGoogle Scholar
  19. 19.
    J. P. Boeuf and E. Marode, J. Phys. D.,15, 2169, 1982.CrossRefADSGoogle Scholar
  20. 20.
    P. Segur, M. Yousfi, J. B. Boeuf, E. Marode, A. J. Davies and J. G. Evans, in: Electrical Breakdown and Discharges in gases, Part A, E. E. Kunhardt and L. H. Leussen, (eds), Plenum, New York, 1983.Google Scholar
  21. 21.
    N. Sato and H. Tagashira, J. Phys. D.,18, 2451, 1985.CrossRefADSGoogle Scholar
  22. 22.
    R. J. Carman, J. Phys. D.,22, 55, 1989.CrossRefADSGoogle Scholar
  23. 23.
    T. C. Paulick, J. Appl. Phys.,67, 2775, 1990.CrossRefADSGoogle Scholar
  24. 24.
    K. H. Schoenbach, Hao Chen and G. Schaefer, J. Appl. Phys.,67, 154, 1990.CrossRefADSGoogle Scholar
  25. 25.
    A. von Engel, K. J. Emeleus and M. Kennedy, Phys. Lett.,42A, 191, 1972.ADSGoogle Scholar
  26. 26.
    K. G. Emeleus and A. von Engel, J. Phys. D.,12, 555, 1979.CrossRefADSGoogle Scholar
  27. 27.
    J. P. Boeuf, J. Appl. Phys.,63, 1342, 1988.CrossRefADSGoogle Scholar
  28. 28.
    J. P. Boeuf, ICPIG XVIII. Contributed Papers,4, 748, 1987.Google Scholar

Copyright information

© Akadémiai Kiadó 1992

Authors and Affiliations

  • S. Holló
    • 1
  • B. Nyíri
    • 1
  1. 1.Light Source Development DepartmentTUNGSRAM LtdBudapestHungary

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