On the screening of the electric field at the cathode surface by an electron space charge at intense field emission

Abstract

The paper considers the effect of the space charge of emitted electrons on the electric field at the tip of a field emitter. To analyze this phenomenon, the Poisson equation was solved numerically for a spherical vacuum diode with a field emission cathode. The dependence of the electric field on the geometric field has been compared with the known approximate dependencies. Strong screening of the electric field at the cathode by the space charge of emitted electrons at fields >5×10⁷ V/cm is noted. Based on the obtained dependencies of the actual field on the geometric one and using the SuperSAM code, the field emission occurring in a Muller projector has been simulated. It has been shown that the `ring effect' appearing in field emission patterns can well be explained by field emission from the peripheral regions of the field emitter. The current density distributions over the surface and in the bulk of the emitter have been analyzed.

Original language	English
Pages (from-to)	436-440
Number of pages	5
Journal	IEEE Transactions on Dielectrics and Electrical Insulation
Volume	6
Issue number	4
DOIs	https://doi.org/10.1109/94.788740
Publication status	Published - 1 Dec 1999
Externally published	Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/94.788740

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title = "On the screening of the electric field at the cathode surface by an electron space charge at intense field emission",

abstract = "The paper considers the effect of the space charge of emitted electrons on the electric field at the tip of a field emitter. To analyze this phenomenon, the Poisson equation was solved numerically for a spherical vacuum diode with a field emission cathode. The dependence of the electric field on the geometric field has been compared with the known approximate dependencies. Strong screening of the electric field at the cathode by the space charge of emitted electrons at fields >5×107 V/cm is noted. Based on the obtained dependencies of the actual field on the geometric one and using the SuperSAM code, the field emission occurring in a Muller projector has been simulated. It has been shown that the `ring effect' appearing in field emission patterns can well be explained by field emission from the peripheral regions of the field emitter. The current density distributions over the surface and in the bulk of the emitter have been analyzed.",

author = "Batrakov, {A. V.} and Pegel, {I. V.} and Proskurovsky, {D. I.}",

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AU - Batrakov, A. V.

AU - Pegel, I. V.

AU - Proskurovsky, D. I.

PY - 1999/12/1

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N2 - The paper considers the effect of the space charge of emitted electrons on the electric field at the tip of a field emitter. To analyze this phenomenon, the Poisson equation was solved numerically for a spherical vacuum diode with a field emission cathode. The dependence of the electric field on the geometric field has been compared with the known approximate dependencies. Strong screening of the electric field at the cathode by the space charge of emitted electrons at fields >5×107 V/cm is noted. Based on the obtained dependencies of the actual field on the geometric one and using the SuperSAM code, the field emission occurring in a Muller projector has been simulated. It has been shown that the `ring effect' appearing in field emission patterns can well be explained by field emission from the peripheral regions of the field emitter. The current density distributions over the surface and in the bulk of the emitter have been analyzed.

AB - The paper considers the effect of the space charge of emitted electrons on the electric field at the tip of a field emitter. To analyze this phenomenon, the Poisson equation was solved numerically for a spherical vacuum diode with a field emission cathode. The dependence of the electric field on the geometric field has been compared with the known approximate dependencies. Strong screening of the electric field at the cathode by the space charge of emitted electrons at fields >5×107 V/cm is noted. Based on the obtained dependencies of the actual field on the geometric one and using the SuperSAM code, the field emission occurring in a Muller projector has been simulated. It has been shown that the `ring effect' appearing in field emission patterns can well be explained by field emission from the peripheral regions of the field emitter. The current density distributions over the surface and in the bulk of the emitter have been analyzed.

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