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四极磁场中粒子束输运的非线性分析及模拟
引用本文:石海泉,李超龙,熊狂炜,崔剑明,张斌.四极磁场中粒子束输运的非线性分析及模拟[J].核电子学与探测技术,2016(7):682-685.
作者姓名:石海泉  李超龙  熊狂炜  崔剑明  张斌
作者单位:华东交通大学理学院,南昌,330013
基金项目:国家自然科学基金(21163006),江西省科技计划项目(20142BBE50008
摘    要:为了提高粒子在四极磁场中输运轨迹计算的精度,基于李代数方法,分析和计算粒子束在四极磁场中空间电荷的非线性效应,得到二级近似下粒子坐标的映射公式,编写了粒子束在四极磁场中传输的模拟程序QML。用模拟程序对四极磁场中的传输进行了模拟计算,并对模拟结果进行了分析。模拟结果表明,在空间电荷的非线性效应的影响下相图产生了明显的扭曲,对粒子束包络曲线横向发散作用明显。

关 键 词:四极磁场  粒子束输运  空间电荷  李代数  非线性

Nonlinear Analysis and Simulation of Ion Beam Transport in Quad-pole Magnetic Field
Abstract:In order to improve the accuracy of trajectory of particles in quad -pole magnetic field, nonlinear effect of space charge was analyzed and calculated with Lie algebraic methods, the mapping formulas of particle coordinates through second order were obtained, and a computer code QML was written for the particle beam transmission in quad-pole magnetic field. QML was used to simulate particle beam transmission in quad-pole magnetic field, and the simulation results were analyzed. Simulation results indicated that, due to the influence of nonlinear effect of space charge, the beam phase diagram hadclear distortion, at the same time, the beam en-velope had apparent lateral divergence.
Keywords:quad-pole magnetic field  particle beam transmission  space charge  Lie algebraic  non-linear
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