Fifth-order asymptotic geometric aberrations of electron lenses

被引：0
|
作者：
Liu Z. [1 ]
机构：
[1] Department of Electronics, School of Electronics Peking University, Beijing
来源：
Ultramicroscopy | 2023年 / 254卷
关键词：
Asymptotic aberration; Differential algebra; Electron lens; Mathematica;
D O I：
10.1016/j.ultramic.2023.113776
中图分类号：
学科分类号：
摘要：
In this article the analytical expressions of the fifth-order asymptotic geometric aberrations of electron lenses are derived by Mathematica. The process of the derivation is analogous to the method described in “Principles of Electron Optics” by P.W. Hawkes and E. Kasper. All the analytical formulae for asymptotic aberration coefficients in polynomials in the reciprocal magnification are numerically cross-validated with the differential algebraic (DA) method. The results indicate that the derived formulae are doubtless correct. © 2023
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