Title :
Dynamical Effects due to Fringe Field of the Magnet in Circular Accelerators
Author :
Cai, Y. ; Nosochkov, Y.
Author_Institution :
SLAC, Menlo Park, CA 94025, USA, yunhai@slac.stanford.edu
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.
Keywords :
Acceleration; Accelerator magnets; Electron beams; Error analysis; Magnetic fields; Magnetic separation; Maxwell equations; Nonlinear optics; Solenoids; Vectors;
Conference_Titel :
Particle Accelerator Conference, 2005. PAC 2005. Proceedings of the
Print_ISBN :
0-7803-8859-3
DOI :
10.1109/PAC.2005.1590953
