Onset of space charge limited current for field emission from a single sharp tip

被引：25

作者：

Sun, S. ^{[1
]}

Ang, L. K. ^{[1
,2
]}

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[2] Singapore Univ Technol & Design, Singapore 138682, Singapore

来源：

PHYSICS OF PLASMAS | 2012年 / 19卷 / 03期

关键词：

CHILD-LANGMUIR-LAW; ELECTRON-EMISSION; PLASMA;

D O I：

10.1063/1.3695090

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A protrusive model of the Child-Langmuir (CL) law is proposed for non-uniform electron field emission from a sharp tip of either Lorentzian or hyperboloid shape. The model is expressed as J(c) = mu x J(1D) at large electric field higher than a critical value E-c, and J(1D) is the classical one-dimensional CL law. It is found that the enhancement mu over the 1D CL law depends only on the calculated field enhancement factor (beta) of the emitter and is independent of the work function and gap spacing. In particular, mu increases with beta and it converges to a constant at b beta >> 1 for a very sharp tip with small emission area. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3695090]

引用

页数：7

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