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

Yunhai Cai·Yuri Nosochkov
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Abstract

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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Yunhai Cai, Yuri Nosochkov. 2005-05-23. Dynamical Effects Due to Fringe Field of the Magnet in Circular Accelerators. https://arxiv.org/abs/physics/0505159

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