使用点磁铁和由圆弧和直线组成的参考轨道的辛跟踪
Symplectic tracking using point magnets and a reference orbit made of circular arcs and straight lines
摘要:
使用点磁铁的束粒子的辛跟踪是通过使用由圆弧和彼此平滑连接的直线组成的参考轨道来实现的。对于这种选择的参考轨道,结果给出的传递函数,传递矩阵,和过境时间的磁铁和漂移空间。这些结果提供了一个辛积分器,并允许通过乘以转移矩阵来计算线性轨道参数。它示出,该积分器是一个二阶积分器,并且可以从一个哈密顿导出的传递函数。
英文摘要:
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.
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