| 自动微分技术及其在电子光学系统像差分析中的应用 |
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| 引用本文： | 王莉萍,唐天同,程彬杰,蔡杰.自动微分技术及其在电子光学系统像差分析中的应用[J].西安交通大学学报,1999,33(12):101-105. |
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| 作者姓名： | 王莉萍 唐天同 程彬杰 蔡杰 |
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| 作者单位： | 西安交通大学,710049,西安 |
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| 摘 要： | 研究了自动微分技术的基本原理，及其在旋转对称电子光学系统像差分析中的应用．利用面向对象的编程技术，在ＶＣ＋＋ 环境中编制了一个软件包，该软件包能够简洁且准确地计算旋转对称系统的３ 阶像差．用此软件计算了钟形场磁透镜中高斯光学性质及３ 阶像差，其结果与解析解完全一致，相对误差仅为１０ － ９ ．研究结果为电子光学系统像差的自动微分方法研究奠定了基础
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| 关 键 词： | 自动微分 带电粒子光学 面向对象编程 |
| 修稿时间： | 1998-12-01 |
Automatic Differentiation Technique for Aberration Analysis of Electron Optic System |
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| Wang Liping,Tang Tiantong,Cheng Binjie,Cai Jie.Automatic Differentiation Technique for Aberration Analysis of Electron Optic System[J].Journal of Xi'an Jiaotong University,1999,33(12):101-105. |
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| Authors: | Wang Liping Tang Tiantong Cheng Binjie Cai Jie |
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| Abstract: | Automatic differentiationisa new techniquein computer numericalanalysis;itisapplied to the aberration analysis of rotationally sym metricsystemsin electron optics. Using object oriented pro gram mingtechnique and visual C language,an ADpackage was developed , which can be used to calculate the third order aberrations ofrotationally sym metric systems. The Gauss properties and the third orderaberrations werecalculatedfora bell shaped magneticlens.Relativeerrorsoftheresultsare of10 - 9 or smaller.The present work providesthe foundation for analyzing and correcting aberrations in electron opticalsystems by automatic differentiation method . |
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| Keywords: | automatic differentiation charged particleoptics objectoriented program ming |
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