Analytic relationships for characterizing electrical properties and electron density profiles in gas discharge columns
作者:
Gerald L. Rogoff,
Keith Kussmaul,
期刊:
Journal of Applied Physics
(AIP Available online 1986)
卷期:
Volume 59,
issue 4
页码: 1048-1051
ISSN:0021-8979
年代: 1986
DOI:10.1063/1.336540
出版商: AIP
数据来源: AIP
摘要:
A previous paper presented numerically determined values of a dimensionless quantity which is useful for characterizing gas discharge columns with electron production and loss rates linear and quadratic in electron density. That quantity, denoted byS, is useful for calculating voltage‐current characteristics and for indicating the shape of the electron density distribution, i.e., its degree of diffuseness or constriction. (In terms of the electron densityne,Sis the integral of −∇2ne/neover the column cross section.) Crawford has presented an analytic approximation for a limited range ofSfor the case of a circular column cross section. In this note Crawford’s expression is compared with values obtained numerically, and it is found to be a very good approximation over its limited range of applicability. In addition, modified versions of Crawford’s expression are provided for use with all possible relative magnitudes and combinations of signs of the linear and quadratic rates. Analytic relationships between the maximum electron density and average electron density are also provided, both for direct use and to facilitate use of the expressions forS.
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