回旋加速器中空间电荷的横纵耦合
Transverse-Longitudinal Coupling by Space Charge in Cyclotrons
摘要：
本文提出了一种计算回旋加速器中含有空间电荷的匹配光束参数的方法，着重考虑了横纵耦合的影响。本文导出了方位对称回旋加速器模型的横纵耦合方程和相应的一阶频移方程。计算了梁的特征椭球，并将传递矩阵变换为块对角形式。考虑了相位曲线斜率对横向-纵向耦合的影响。对结果进行了推广，并给出了AVF回旋加速器情况下的数值计算方法。将该算法应用于PSI注入器II和环形回旋加速器，并将结果与TRANSPORT进行比较。
英文摘要：
A method is presented that enables to compute the parameters of matched beams with space charge in cyclotrons with emphasis on the effect of the transverse-longitudinal coupling. Equations describing the transverse-longitudinal coupling and corresponding tune-shifts in first order are derived for the model of an azimuthally symmetric cyclotron. The eigenellipsoid of the beam is calculated and the transfer matrix is transformed into block-diagonal form. The influence of the slope of the phase curve on the transverse-longitudinal coupling is accounted for. The results are generalized and numerical procedures for the case of an AVF cyclotron are presented. The algorithm is applied to the PSI Injector II and Ring cyclotron and the results are compared to TRANSPORT.
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