A General Method for Symplectic Particle Tracking in a Three-dimensional Magnetic Field
- SLAC
A general method is presented for symplectic integration of particle orbit in a 3-dimensional magnetic field. The reference orbit in phase space is solved by eliminating the linear part of the Hamiltonian. The Hamiltonian flow can be obtained by the Lie algebraic techniques such as matrix maps for linear motion and integrable polynomials for nonlinear motion. The authors method eases the difficult task of particle tracking through insertion devices with complex magnetic field configuration such as the elliptical-polarization undulator. It can also be applied to calculate the particle orbit through a dipole or a quadrupole to include the fringe field effects accurately.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 763836
- Report Number(s):
- SLAC-PUB-8514
- Country of Publication:
- United States
- Language:
- English
Similar Records
A Differential Algebraic Integration Algorithm for Symplectic Mappings in Systems with Three-Dimensional Magnetic Field
Symplecticity in Beam Dynamics: An Introduction
Lie algebraic methods for charged-particle beams and light optics
Technical Report
·
Wed Sep 15 00:00:00 EDT 2004
·
OSTI ID:833057
Symplecticity in Beam Dynamics: An Introduction
Technical Report
·
Tue Jun 10 00:00:00 EDT 2003
·
OSTI ID:813219
Lie algebraic methods for charged-particle beams and light optics
Thesis/Dissertation
·
Sat Dec 31 23:00:00 EST 1983
·
OSTI ID:5087193