| 李代数在磁偏转系统三级像差计算中的应用 |
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| 引用本文： | 胡康燕,唐天同.李代数在磁偏转系统三级像差计算中的应用[J].真空科学与技术学报,1999(1). |
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| 作者姓名： | 胡康燕 唐天同 |
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| 作者单位： | 西安交通大学电子与信息工程学院光电子与物理电子工程系!西安710049 |
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| 摘 要： | 提出了电子光学偏转像差的李代数理论 ,将这种新型数学工具的应用领域从带电粒子束的聚焦传输系统推广到扫描偏转系统。推导出了磁偏转系统的高斯光学性质及全部三级正则像差 (包括在任意观察平面的正则位置像差和正则动量像差 ) ,所导出的结果与传统的逐次近似像差理论相同 ,为将李代数方法用于扫描探针系统的高阶像差的分析计算奠定了理论基础
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| 关 键 词： | 李代数 哈密顿函数 偏转像差 |
Lie Algebra Application in Calculating the Third Order Aberration of the Magnetic Deflection System |
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| Abstract: | A new theory based on Lie algebra of the electron optical deflection aberration was proposed.Gaussian optical properties and all the third order canonical aberrations of the magnetic deflection systems,including canonical position and momentum aberrations at any given observation plane,can be derived with the new theory.The calculated results agree well with that obtained using the conventional successive approximation of the aberration.The theory is also of interest in evaluating higher order aberration of scanning probe system. |
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| Keywords: | Lie algebra Hamiltonian function Deflection aberration |
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