电磁交叉场分析器中非线性传输的Lie代数分析(英文)

Nonlinear Analysis for the Wein Filter with Lie Algebraic Method

用李代数方法分分析了带电粒子在电磁交叉场分析器中的非线性传输 ,结果近似到三级近似 .分析过程为 :首先建立粒子在电磁交叉场分析器中的运动的Hamilton函数 ,然后将Hamilton函数在平衡轨道附近展开成幂级数 ,最后计算粒子的非线性轨迹到三级近似 .根据需要 ,还可以推导出更高级的近似解 .

In this paper,we analyze the nonlinear transport of the particle motions in the Wein filter up to the third order with the Lie algebraic method.First,we set up the Hamiltonian for the Wein filter;then expand the Hamiltonian into a sum of homogeneous polynomials of different degrees;finally,calculate the particle's nonlinear trajectories up to the third order.Higher orders could be obtained if necessary.