标题： 使用点磁铁和由圆弧和直线组成的参考轨道的辛跟踪 显示英文标题

标题： Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines

摘要： 使用点磁铁对束流粒子进行辛跟踪是通过由圆弧和直线组成的参考轨道实现的，这些圆弧和直线相互平滑连接。 对于这种参考轨道的选择，给出了磁铁和漂移空间的传递函数、传递矩阵和传输时间的结果。 这些结果提供了一个辛积分器，并允许通过乘以传递矩阵来计算线性轨道参数。 表明该积分器是一个二阶积分器，并且传递函数可以从哈密顿量中推导出来。 显示英文摘要

摘要： Symplectic tracking of beam particles using point magnets is achieved using a reference orbit made of circular arcs and straight lines that join smoothly with each other. For this choice of the reference orbit, results are given for the transfer functions, transfer matrices, and the transit times of the magnets and drift spaces. These results provide a symplectic integrator, and allow the linear orbit parameters to be computed by multiplying transfer matrices. It is shown that this integrator is a second-order integrator, and that the transfer functions can be derived from a hamiltonian.