A Differential Algebraic Integration Algorithm for Symplectic Mappings in Systems with Three-Dimensional Magnetic Field

Technical Report · Wed Sep 15 00:00:00 EDT 2004

DOI:https://doi.org/10.2172/833057· OSTI ID:833057

Chang, P

A differential algebraic integration algorithm is developed for symplectic mapping through a three-dimensional (3-D) magnetic field. The self-consistent reference orbit in phase space is obtained by making a canonical transformation to eliminate the linear part of the Hamiltonian. Transfer maps from the entrance to the exit of any 3-D magnetic field are then obtained through slice-by-slice symplectic integration. The particle phase-space coordinates are advanced by using the integrable polynomial procedure. This algorithm is a powerful tool to attain nonlinear maps for insertion devices in synchrotron light source or complicated magnetic field in the interaction region in high energy colliders.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 833057
• Report Number(s): SLAC-PUB-10720; TRN: US0406528
• Resource Relation: Other Information: PBD: 15 Sep 2004
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ALGORITHMS
CANONICAL TRANSFORMATIONS
LIGHT SOURCES
MAGNETIC FIELDS
PHASE SPACE
POLYNOMIALS
SYNCHROTRONS