A method for calculating two-cylinder lenses and three element einzel lenses with transfer matrices

Liangming Wang

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A method for calculating two-cylinder lenses and three element einzel lenses with transfer matrices

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- A method for calculating two-cylinder lenses and three element einzel lenses with transfer matrices
- Nuclear Techniques Vol. 09, Issue 11, (1986)
- 作者机构：
  
  四川大学原子核科学技术研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：18 March 1985，
  
  Published：1986-11
- 稿件说明：
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Liangming Wang. A method for calculating two-cylinder lenses and three element einzel lenses with transfer matrices[J]. Nuclear techniques, 1986, 09(11): 23-27,30,59.
DOI：

Liangming Wang. A method for calculating two-cylinder lenses and three element einzel lenses with transfer matrices[J]. Nuclear techniques, 1986, 09(11): 23-27,30,59. DOI：

摘要

在高压型多种加速器里，常用双圆筒和单透镜对束流进行加速和聚焦，这两种电透镜又经常被安装在离子源引出电极附近，这里粒子所获得的能量低，束流较强，空间电荷效应明显。文献[1、2]较好地讨论了某些电透镜中束流光学的一种传输矩阵法，文献[3—5]用成象光学法讨论了双圆筒、单透镜的成象光学参数；文献[6—8]用求解Laplace方程的方法将等径双圆筒和单透镜轴上电位分布函数再次修正并解析化，提高了精确度。今将这些结果延拓用于质子静电加速器静电双圆筒、单透镜束流传输光学中。

Abstract

The axial potential functions

the axial electric field intensities and the second derivatives of the axial potential functions for two-cylinder lenses and three element einzel lenses are discussed. The transfer matrices for these lenses have been described. The transportation of the intensity of the charged part ices in our 2.5 MeV Van de Graaff accelerator has been calculated.

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references

郁庆长，原子核物理 , 4 , 255 （ 1982 ）。

郁庆长，原子核物理 , 3 , 261 （ 1981 ）。

D. Dichio and S. V. Natali , Rev. Sci. lnstr. , 45 , 559 （ 1974 ）.

F. Firestein and J. Vine , Brit. J. Appl. Phys. , 14 , 449 （ 1963 ）.

A. B. El-Karch , Electron Beams, Lenses and Optics , （ 1970 ）.

F. H. Read , Journal of Physics E: Sci. Instrum. , 4 , 625 （ 1970 ）.

A. Adams , ibid , 5 , 150 （ 1972 ）.

A. Adams , ibid , 5 , 156 （ 1972 ）.

王竹溪和郭敦仁，特殊函数概论，科学出版社 . 1979 年。

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