Hamiltonian Formulation for Synchrobetatron Resonance Driven by Dispersion in RF Cavities
Hamiltonian Formulation for Synchrobetatron Resonance Driven by Dispersion in RF Cavities
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射频腔色散驱动的同步感应器谐振的哈密顿公式
DOI：
10.1109/tns.1985.4333883
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发表时间：
1985
影响因子：
1.8
通讯作者：
Toshio Suzuki
中科院分区：
文献类型：
--
作者：
Toshio Suzuki
利用哈密顿理论，研究了射频腔中色散驱动的同步倍增管共振。给出了共振和快过共振时的倍增管和同步加速器振荡幅度增长率的显式表达式。文中还研究了分布射频腔的影响，结果表明，通过合理布置射频腔可以抑制谐振。该理论与PETRA的计算机模拟结果吻合较好，并给出了TRIUMF Kaon Factory项目助推器的数值算例。本文是文献[1]的节本。(1)，读者请参阅参考文献(1)更多详情。
Synchrobetatron resonance driven by dispersion in RF cavities is studied by using the Hamiltonian formalism. Explicit expressions are given for the growth rate of betatron and synchrotron oscillation amplitudes on resonance and on fast-crossing of the resonance. The effect of distributed RF cavities is also studied, and it is shown that the resonance can be suppressed by proper arrangement of RF cavities. The theory is shown to agree fairly well with the computer simulation for PETRA and some numerical examples are given for the booster of the TRIUMF Kaon Factory project. This paper is an abridged version of Ref. (1), and readers are referred to Ref. (1) for more details.