Abstract: A powerful technique of integration transformation on eikonals has been applied to Glaser's bell-shaped magnetic lens. Consequently, first-and third-order chromatic aberrations have been analytically derived and numerically calculated. This theoretical research may be helpful for estimating first-and third-order chromatic aberrations in rotationally symmetric magnetic lenses.

Key words: electron optics, canonical theory, magnetic lens, geometrical aberrations, chromatic aberrations

摘要： 根据正则电子光学理论，本文将光程函数广义积分变换方法应用于钟形磁场，推导出一级和三级色差解析公式，然后进行了数值计算。这项研究成果发展了电子光学Scherzer原理，有助于估计磁透镜的一级和三级色差。

关键词: 电子光学, 正则理论, 磁透镜, 几何像差, 色差