带顶盖的半球形静电分析器的计算机模拟

COMPUTER SIMULATION TO A TOP-HAT SEMISPHERIC ELECTROSTATIC ANALYZER

从解带顶盖的半球形90°静电分析器关于势分布的Laplace方程开始，建立了荷电粒子在分析器中的运动方程，确定了以时间为参量的粒子运动轨道，引出了传输函数和几何因子的表达式，从而提供了一套适用于带顶盖的半球形90°静电分析器的模拟方法．为了使用方便，给出了传输函数和几何因子的尺度性质．所编制的程序特别地被应用于Sablik等的分析器原型，在现在的模拟结果和Sablik等的结果的对比中，评估了本文描述的模拟技术的精确性．

This paper describes a method to simulate a top-hat 90° electrostatic anajyzer numerically. Computer codes for this type of analyzer are developed and applied specifically to the computation of the top-hat analyzer prototype of Sablik et al. The potential distribution in the analyzer is found from solving a Laplace equation by using finite difference method; the motion equation of charged particles leads to the paths of these particles with time being parameter; the expressions of response functions and geometric factor are correctly derived; a scaling law of the analyzer behaviors is given, and is taken into account in the entire simulation. In comparison of the present results with those of Sablik et al, the accuracy of the present simulation computation is analyzed and assessed.