电子离散发射模型的基础理论

摘要

通过建立电子的离散发射模型并解析求解泊松方程,研究了两平行板电容器之间电子发散注入时电势的分布情况.结果表明:电子注的进入对无电子时两平板之间的电势产生了周期性和非周期性扰动,周期性扰动的平均效果为零,所以电子注产生的扰动主要由非周期性扰动体现.当电子的入射角度在0°～90.时,扰动出现了4个尖峰,除此之外电子注入对电势的扰动基本上为零,这从理论上解释了MICHELL的九粒子发射模型.%A study is presented on the potential profile between planar plane capacitors by constructing electronic spread launch model and analytically solving Poisson equation. The results show that electron beam introduces periodic and non-periodic perturbation to vacuum potential without electron beam. Non-periodic perturbation prevails because the overall effect of periodic perturbation is zero. When the launch angle varies from 0° to 90°. Four perturbation peaks take on and beside them electron beam has no impact on vacuum potential, which provide a theoretical explanation for MICHELLE'S nine-particle launch model and a guide for mesh refinement choice when a code is developed.