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Dynamical Effects Due to Fringe Field of the Magnet in Circular Accelerators
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.Comment: 3 pages, 2 figure
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