Abstract
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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. von Engel, Ionized Gases, Oxford U. P., New York, 1965.
B. N. Klyarfeld, L. G. Guseva and A. S. Pokroskava-Soboleva, Soviet Phys.-Techn. Phys.,11, 520, 1966.
K. G. Emeleus, Z. Physik,268, 175, 1974.
J. H. Ingold, in: Gaseous Electronics, M. N. Hirsch and H. J. Oskam (eds), Academic Press, New York, 1978.
V. V. Vlasov, L. G. Guseva and B. N. Klyarfeld, 10th International Conference on Ionized Gases, Oxford, Contributed papers 98, 1971.
A. von Engel and M. Steenbeck, Elektrische Gasentladungen, Springer, Berlin, 1934.
K. G. Emeleus, Int. J. Electronics,36, 1, 1974.
K. G. Emeleus, J. Phys. D.,14, 2179, 1981.
A. J. Ward, J. Appl. Phys.,33, 2789, 1962.
A. J. Ward, IEEE Trans. Electron. Dev., ED10, 255, 1963.
J. L. Neuringer, J. Appl. Phys.,49, 590, 1978.
A. J. Davies and J. G. Evans, J. Phys. D.,13, 161, 1980.
J. E. Lawler and D. A. Doughty, Symposium on Physics of Ionized Gases, Yugoslavia, Invited papers 293, 1986.
D. K. Doughty, E. A. Den Hartoy and J. E. Lawler, Appl. Phys. Lett.,45, 611, 1984.
P. Bayle and A. Perrin, International Conference on Phenomena in Ionized Gases, Belgrade, Contributed Papers 1004, 1989.
K. G. Emeleus, Int. J. Electronics,51, 269, 1981.
P. Bayle, J. Vacquié and M. Bayle, Phys. Rev.,A 34, 360, 1986.
Tran Ngoc An, E. Marode and P. C. Johnson, J. Phys. D.,10, 2317, 1977.
J. P. Boeuf and E. Marode, J. Phys. D.,15, 2169, 1982.
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.
N. Sato and H. Tagashira, J. Phys. D.,18, 2451, 1985.
R. J. Carman, J. Phys. D.,22, 55, 1989.
T. C. Paulick, J. Appl. Phys.,67, 2775, 1990.
K. H. Schoenbach, Hao Chen and G. Schaefer, J. Appl. Phys.,67, 154, 1990.
A. von Engel, K. J. Emeleus and M. Kennedy, Phys. Lett.,42A, 191, 1972.
K. G. Emeleus and A. von Engel, J. Phys. D.,12, 555, 1979.
J. P. Boeuf, J. Appl. Phys.,63, 1342, 1988.
J. P. Boeuf, ICPIG XVIII. Contributed Papers,4, 748, 1987.
Author information
Authors and Affiliations
Additional information
An erratum to this article is available at http://dx.doi.org/10.1007/BF03054188.
Rights and permissions
About this article
Cite this article
Holló, S., Nyíri, B. Equation for cathodic glow sheath. Acta Physica Hungarica 72, 71–88 (1992). https://doi.org/10.1007/BF03177497
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03177497