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基于库仑定律的二极管空间电荷限制效应研究

左应红 王建国 朱金辉 范如玉

物理学报2012,Vol.61Issue(16):342-347,6.
物理学报2012,Vol.61Issue(16):342-347,6.

基于库仑定律的二极管空间电荷限制效应研究

Investigations of space charge limited effects in diode with Coulomb's law

左应红 1王建国 2朱金辉 2范如玉1

作者信息

  • 1. 清华大学工程物理系,北京100084 西北核技术研究所,西安710024
  • 2. 西北核技术研究所,西安710024
  • 折叠

摘要

Abstract

Vacuum diode is a critical component of the apparatus which is the source of electron beams, the emitted electrons from the cathode of the diode have strong space charge limited effects. Based on Coulomb's law, the distributions of electric field in cathodeanode gap for different values of the ratio of radius to gap distance, R/D, are calculated numerically with the model of space charge limited effects in a planar vacuum diode. This method can avoid solving a non-linear differential equation which is used to yield the Child-Langmuir law from Poisson's equation. The results demonstrate that the only difference between the results from Coulomb's law and Child-Langmuir law is a modification factor, which is shown to be related to the potential difference across the gap. The results also show that one-dimensional space charge limited law will be a good approximation for the practical planar diode if the parameter RID is beyond 10, but it can present a large error if the parameter RID is small. Therefore it should be cautiously used.

关键词

真空二极管/空间电荷限制效应/Child—Langmuir定律/库仑定律

Key words

vacuum diode/space charge limited effects/Child-Langmuir law/Coulomb's law

分类

数理科学

引用本文复制引用

左应红,王建国,朱金辉,范如玉..基于库仑定律的二极管空间电荷限制效应研究[J].物理学报,2012,61(16):342-347,6.

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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