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本文对曲线坐标系下的静电宽电子束轨迹方程进一步深入研究,给出了该坐标系下的主轨迹方程以及考虑到二级近似下的曲轴轨迹方程,并将之转换成适合计算的形式,利用同心球系统论证了这种曲轴轨迹计算方法的合理性与可靠性,计算表明同心球近轴与实际轨迹之间、曲轴一级与二级近似下轨迹之间相差约在第五个数量级;由实际管型计算出的像差约在第四个数量级上,这在一般工程应用中是可以忽略的,但在高精度像管计算中却不能将之忽略。
In this paper, the trajectory equation of electrostatic wide electron beam in curvilinear coordinate system is further studied. The main trajectory equation in this coordinate system and the trajectory equation of crankshaft in consideration of second-order approximation are given and converted into a form suitable for calculation. The concentric sphere system is used to demonstrate the rationality and reliability of the method for calculating the crankshaft trajectory. The calculation shows that the difference between the trajectory of the concentric sphere and the actual trajectory is about the fifth order of magnitude. The aberration calculated from the actual tube is about a fourth order of magnitude, which is negligible in general engineering applications, but can not be ignored in high-precision tube calculations.