具有对称平面二极磁铁的二级近似束流光学

应用科学学报 ›› 1992, Vol. 10 ›› Issue (1): 63-70.

具有对称平面二极磁铁的二级近似束流光学

胡迺雄¹, 西门纪业²

1. 南京大学;
2. 北京大学

收稿日期:1989-03-17 修回日期:1990-12-30 出版日期:1992-03-31 发布日期:1992-03-31

THE SECOND ORDER BEAM OPTICS OF A DIPOLE MAGNET WITH A SYMMETRY PLANE

HU NAIXIONG¹, XIMEN JIYB²

1. Nanjing University;
2. Beijing University

Received:1989-03-17 Revised:1990-12-30 Online:1992-03-31 Published:1992-03-31

摘要/Abstract

摘要： 推出具有对称平面二极磁铁产生磁场矢位A的表达式.利用变分原理给出二级轨迹和二级像差.证明了存在二级像差情况下刘维定理仍然成立.同时由二级像差引起束椭球的微扰,只要加以适当的修正,变成一个新椭球,仍可按通常的一级传输理论照常进行传输,从而建立起二级近似束流光学理论.

关键词: 二级像差, 二级束流光学, 两极磁铁, 传输理论, 二级轨迹

Abstract: This paper gives the expression of the vector potential produced by a dipole magnet with a symmetry plane. The second order trajectory and second order aberration are obtained by using the variation theorem. It is verified that Liouville's theorem still holds under such circumstances. The beam ellipsoid deformed by second order aberration becomes a new ellipsoid after appropriate modifications, and still works according to first order transport theory. The seuond order beam optics is therefore established.

Key words: Dipole magnet, second order aberration, second order beam optics, transport theory, second order trajectory

胡迺雄, 西门纪业. 具有对称平面二极磁铁的二级近似束流光学[J]. 应用科学学报, 1992, 10(1): 63-70.

HU NAIXIONG, XIMEN JIYB. THE SECOND ORDER BEAM OPTICS OF A DIPOLE MAGNET WITH A SYMMETRY PLANE[J]. Journal of Applied Sciences, 1992, 10(1): 63-70.