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双管静电透镜特性的精确计算。I. 用于精确计算电场和轨迹的改进数字方法。

Accurate Calculations of Properties of the Two-Tube Electrostatic Lens. I. Improved Digital Methods for the Precise Calculation of Electric Fields and Trajectories.

作者信息

Natali S, Di Chio D, Kuyatt C E

机构信息

Institute for Basic Standards, National Bureau of Standards, Washington, D.C. 20234.

出版信息

J Res Natl Bur Stand A Phys Chem. 1972 Jan-Feb;76A(1):27-35. doi: 10.6028/jres.076A.003.

DOI:10.6028/jres.076A.003
PMID:34565836
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6728520/
Abstract

Digital methods of high precision have been developed for the calculation of electric fields and trajectories in electrostatic lenses and a computer program was written to apply these methods to the two-tube lens. The increased precision results from the use of nine-point formulas in the relaxation calculation of potentials in place of previously used five-point formulas and from the use of an improved predictor-corrector method for the calculation of trajectories. Trajectories obtained with these methods are sufficiently precise to determine third-order aberration coefficients.

摘要

已经开发出高精度的数字方法来计算静电透镜中的电场和轨迹，并编写了一个计算机程序，将这些方法应用于双管透镜。精度的提高源于在电位的松弛计算中使用九点公式代替先前使用的五点公式，以及在轨迹计算中使用改进的预估-校正方法。用这些方法得到的轨迹精度足以确定三阶像差系数。