库仑定理导出的2维空间电荷限制流一级近似公式  

Deducing two-dimensional space-charge-limited flow first-level approximating formula from Coulomb's law

作　　者：杨超[1] 刘大刚[1] 夏蒙重[1] 杨宇鹏[1] 徐旭光[1] 

机构地区：[1]电子科技大学物理电子学院,成都610054

出　　处：《强激光与粒子束》2011年第1期125-127,共3页High Power Laser and Particle Beams

基　　金：国家自然科学基金重点项目(10676110)

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。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.

关 键 词：空间电荷定律 空间电荷限制流 库仑定律 高斯定理 

分 类 号：O461.1[理学—电子物理学]