Symplectic integrator for s-dependent static magnetic fields based on mixed-variable generating functions
Symplectic integrator for s-dependent static magnetic fields based on mixed-variable generating functions
复制标题
基于混合变量生成函数的 s 相关静磁场辛积分器
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
R. Tucker
中科院分区：
文献类型：
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作者：
A. Wolski;J. Gratus;R. Tucker
本文描述了一种构造带电粒子在任意三维静磁场作用下通过加速器部件时的辛转移映射的方法。传递映射是通过辛积分构造的;通过用混合变量生成函数在积分的每一步表示映射，确保了精确的辛性。通过使用适当的积分算法，没有必要进行傍轴近似。该技术的应用程序（在一个自由度）说明了一个四极磁铁与强大的八极组件和边缘场。
We describe a technique for constructing a symplectic transfer map for a charged particle moving through an accelerator component with arbitrary three-dimensional static magnetic field. The transfer map is constructed by symplectic integration; by representing the map at each step of the integration by a mixed-variable generating function, exact symplecticity is ensured. By using an appropriate integration algorithm, there is no necessity to make the paraxial approximation. The technique is illustrated by application (in one degree of freedom) to a quadrupole magnet with strong octupole component and fringe field.