Electrostatic Self-Focusing of an Electron Beam in a Planar Diode

An electron beam accelerated by a planar anode can be electrostatically self-focused if the ambient pressure of an ionizable gas within the diode is sufficiently high. A theoretical analysis is presented which uses an integral representation of Poisson's equation. A first-order solution for the...

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Bibliographic Details
Published in:Journal of applied physics 1971-01, Vol.42 (13), p.5404-5410
Main Author: van Hulsteyn, D. B.
Format: Article
Language:English
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Summary:An electron beam accelerated by a planar anode can be electrostatically self-focused if the ambient pressure of an ionizable gas within the diode is sufficiently high. A theoretical analysis is presented which uses an integral representation of Poisson's equation. A first-order solution for the potential allows the trajectories of the beam electrons emitted from the cathode under temperature-limited conditions to be determined. For a wide beam, it is found that the degree of constriction is given, approximately, by Δρ=−17d, where d is the cathode-anode separation.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.1659957