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Generalization of the two-dimensional Child–Langmuir law for non-zero injection velocities in a planar diode

Published online by Cambridge University Press:  01 February 2009

YA-MIN QUAN  and
YAO-GEN DING
YA-MIN QUAN
Affiliation:
Institute of Electronics, Chinese Academy of Sciences, P. O. Box 2652, 100080 Beijing, People's Republic of China Graduate University, Chinese Academy of Sciences, 100039 Beijing, People's Republic of China (quanyamin@yahoo.cn)
YAO-GEN DING
Affiliation:
Institute of Electronics, Chinese Academy of Sciences, P. O. Box 2652, 100080 Beijing, People's Republic of China
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Abstract

A simple analytic expression of the two-dimensional Child–Langmuir law is derived for non-zero injection velocities and Lau's result is obtained in our model by setting the injection velocity equal to zero. The calculation results show that the modify term in our model is larger than Lau's with a non-zero electronic initial energy, and it is twice as large as Lau's when the electronic initial energy is much greater than the potential energy of the gap.

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 1 , February 2009 , pp. 85 - 90
Copyright
Copyright © Cambridge University Press 2008

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