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arXiv physics/0505159physics.acc-ph
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环形加速器中磁体边缘场的动力学效应

Dynamical Effects Due to Fringe Field of the Magnet in Circular Accelerators

Yunhai Cai, Yuri Nosochkov

摘要:

从哈密顿系统的矢势出发,导出了单多极子和螺线管硬边边缘场的主要Lie发生器,包括色效应。这些非线性发生器被应用到PEP-II的相互作用区域,以分析由于偏心四极杆和螺线管的反馈而引起的线性误差。研究了大幅度调谐漂移的非线性效应、半整数附近的同步电子感应加速器边带及其对动态孔径的影响。

英文摘要:

The leading Lie generators, including the chromatic effects, due to hard-edge fringe field of single multipole and solenoid are derived from the vector potentials within a Hamiltonian system. These nonlinear generators are applied to the interaction region of PEP-II to analyze the linear errors due to the feed-down from the off-centered quadrupoles and solenoid. The nonlinear effects of tune shifts at large amplitude, the synchro-betatron sidebands near half integer and their impacts on the dynamic aperture are studied in the paper.

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