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库仑定理导出的2维空间电荷限制流一级近似公式
引用本文:杨超,刘大刚,夏蒙重,杨宇鹏,徐旭光.库仑定理导出的2维空间电荷限制流一级近似公式[J].强激光与粒子束,2011,23(1).
作者姓名:杨超  刘大刚  夏蒙重  杨宇鹏  徐旭光
作者单位:电子科技大学 物理电子学院, 成都 610054
基金项目:国家自然科学基金重点项目
摘    要: 为了准确计算空间电荷效应,从库仑定律和电流连续性方程出发,通过求解带电粒子群在空间某点产生的电场,再考虑到一系列合理的近似,最后得到了轴对称圆柱导体构形的空间电荷限制流的2维一级近似公式,结果显示,对于有限平面的电荷限制流大于经典1维限制流。

关 键 词:空间电荷定律  空间电荷限制流  库仑定律  高斯定理
收稿时间:1900-01-01;

Deducing two-dimensional space-charge-limited flow first-level approximating formula from Coulomb's law
Yang Chao,Liu Dagang,Xia Mengzhong,Yang Yupeng,Xu Xuguang.Deducing two-dimensional space-charge-limited flow first-level approximating formula from Coulomb's law[J].High Power Laser and Particle Beams,2011,23(1).
Authors:Yang Chao  Liu Dagang  Xia Mengzhong  Yang Yupeng  Xu Xuguang
Institution:School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
Abstract:Based on the Coulomb's law and the current continuity equation,this paper solutes the electric field of the charged particles group at a certain point in space,and considers a series of reasonable approximation.The two-dimensional space-charge-limited flow first-level approximating formula in the axial symmetry column conductor is obtained.The result reveals that for a limited plane the computed charge-limited flow by the two-dimensional is bigger than that by the classical one dimension formula.
Keywords:Child-Langmuir law  space-charge-limited current  Coulomb's law  Gauss theorem  
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