CERN Accelerating science

Article
Title	Dynamical Effects Due to Fringe Field of the Magnets in Circular Accelerators
Author(s)	Cai Yun Hai ; Nosochkov, Yuri
Affiliation	(SLAC)
Publication	2005
In:	21st IEEE Particle Accelerator Conference, Knoxville, TN, USA, 16 - 20 May 2005, pp.1907
Subject category	Accelerators and Storage Rings
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 Halmitonian 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.