论文标题
带有转移矩阵的RF体操
RF gymnastics with transfer matrices
论文作者
论文摘要
我们引入了传输矩阵,以描述纵向相空间稳定且不稳定固定点附近颗粒的运动,并使用它们分析在不同谐波和电压下运行的射频系统之间的束传递。然后,我们将这种形式主义应用于分析渐近可实现的纵向散发性的振幅依赖性调动引起的分解,并评估注射的公差。
We introduce transfer matrices to describe the motion of particles in the vicinity of the stable and unstable fixed points of longitudinal phase space and use them to analyze the transfer of bunches between radio-frequency systems operating at different harmonics and voltages. We then apply this formalism to analyze the decoherence due to amplitude-dependent tune shift on the asymptotically achievable longitudinal emittance and assess tolerances for the injection.