CAJ | 학술논문

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.
용리대수방법분분석료대전입자재전자교차장분석기중적비선성전수,결과근사도삼급근사.분석과정위:수선건립입자재전자교차장분석기중적운동적Hamilton함수,연후장Hamilton함수재평형궤도부근전개성멱급수,최후계산입자적비선성궤적도삼급근사.근거수요,환가이추도출경고급적근사해.
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.