Integral equation for source of ionization in hollow cathode
Abstract
To simulate the influence of pendulum effect in hollow cathode configuration on a current-voltage characteristic it is proposed to consider a plane glow discharge in one-dimensional space configuration with two plane parallel cathodes and one plane anode in the middle. A pendulum effect could be switched on or off, with consideration for the anode to be transparent or not for fast ionizing electrons. On the basis of a stationary kinetic equation for ionizing electrons an integral equation for a source of ionization is derived. This equation can be used as a component in self-consistent problem for field equations to calculate a current-voltage characteristic and to show how it changes in both cases - in presence or absence of anode transparency.
Cite
@article{arxiv.0902.2655,
title = {Integral equation for source of ionization in hollow cathode},
author = {Vladimir V. Gorin},
journal= {arXiv preprint arXiv:0902.2655},
year = {2018}
}
Comments
14 pages, 5 figures. Submitted for publication in The European Physical Journal D - after selection in 23rd Symposium on Plasma Physics and Technology, Prague, June 2008