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

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

2005-05-23

arxiv.org/abs/physics/0505159v1

Physics

Accelerator Physics

3 pages, 2 figures

Scientific paper

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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