磁四极透镜的Lie代数分析——三级近似

Lie Algebraic Analysis for the Quadrupole Magnets ——Third Order Approximation

摘要: 用Lie代数方法分析了带电粒子在四极透镜中的运动, 得到六维相空间中粒子轨迹的三级近似解, 并包含了运动的相对论效应。当需要时, 还可以扩展到更高级像差。

Abstract: Lie algebraic methods are used in the analysis of particle trajectories in the quadrupole magnets. The solutions of particle trajectories of third order approximation are obtained. Higher order aberrations could be extended if desired.