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复合电磁同心球系统的成像电子光学. D章:近轴方程渐近解

Imaging Electron Optics of a Combined Electromagnetic Concentric Spherical System. Part D: Asymptotic Solutions of Paraxial Equation

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摘要

首次探讨了复合电磁同心球系统近轴方程的渐近解。推导了复合电磁同心球系统中近轴方程两个特解的渐近解中各类系数的表达式。通过复合电磁同心球系统两个特解精确解的验证, 证明了Monastyrski [Journal of Technical Physics, 1978, 48(6): 1117-1122]提出的用渐近解求解成像电子光学近轴方程两个特解的方法正确且可行, 仅个别之处需要改进。

Abstract

The asymptotic solutions of the paraxial equation for a combined electromagnetic concentric spherical system have been explored. Expressions of each kind of coefficients of two special solutions given by the asymptotic method for solving the paraxial equation have been deduced. By verifying the exact solution of two special solutions of the combined electromagnetic concentric spherical system, this paper proves that the approach based on asymptotic solutions given by Monastyrski [Journal of Technical Physics, 1978, 48(6): 1117-1122]to solve the two special solutions of paraxial equation in electron optics is basically correct and feasible, and only a few aspects need to be improved.

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中图分类号:O463

DOI:10.3788/aos201939.0411004

所属栏目:“成像电子光学”专辑

收稿日期:2018-09-04

修改稿日期:2018-10-23

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作者单位    点击查看

周立伟:北京理工大学光电学院, 北京 100081

联系人作者:周立伟(zhoulw@vip.sina.com)

【1】Zhou L W, Gong H, Zhang Z Q, et al. Paraxial imaging electron optics and its spatial-temporal aberrations for a bi-electrode concentric spherical system with electrostatic focusing[J]. Optik, 2011, 122(4): 295-299.

【2】Zhou L W, Gong H, Zhang Z Q, et al. Static and dynamic imaging electron optics and spatial-temporal aberrations in a bi-electrode spherical concentric system with electrostatic focusing[J]. Optik, 2011, 122(4): 287-294.

【3】Zhou L W. Electron optics with wide beam focusing[M]. Beijing: Beijing Institute of Technology Press, 1993.

【4】Zhou L W. Electron optics of concentric spherical electromagnetic focusing systems[J]. Advances in Electronics and Electron Physics, 1979, 52: 119-132.

【5】Zhou L W, Gong H. Theory of paraxial lateral aberrations of electrostatic imaging electrostatic electron optics based on asymptotic solutions and its verification[J]. Optik, 2011, 122(4): 300-306.

【6】Monastyrski M A. On asymptotic solutions of paraxial equation of electron optics[J]. Journal of Technical Physics, 1978, 48(6): 1117-1122.

【7】Zhou L W. Imaging electron optics of a combined electromagnetic concentric spherical system. Part A: paraxial optics[J]. Acta Optica Sinica, 2019, 39(4): 0411001.

【8】Zhou L W. Imaging electron optics of a combined electromagnetic concentric spherical system. Part B: paraxial aberration[J]. Acta Optica Sinica, 2019, 39(4): 0411002.

【9】Zhou L W. Imaging electron optics of a combined electromagnetic concentric spherical system. Part C: approximate solutions of paraxial equation[J]. Acta Optica Sinica, 2019, 39(4): 0411003.

引用该论文

Zhou Liwei. Imaging Electron Optics of a Combined Electromagnetic Concentric Spherical System. Part D: Asymptotic Solutions of Paraxial Equation[J]. Acta Optica Sinica, 2019, 39(4): 0411004

周立伟. 复合电磁同心球系统的成像电子光学. D章:近轴方程渐近解[J]. 光学学报, 2019, 39(4): 0411004

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