Explicit higher order symplectic integrator for s-dependent magnetic field
We derive second and higher order explicit symplectic integrators for the charged particle motion in an s-dependent magnetic field with the paraxial approximation. The Hamiltonian of such a system takes the form of H {summation}{sub k}(p{sub k} - a{sub k} {rvec q}, s){sup 2} + V({rvec q}, s). This work solves a long-standing problem for modeling s-dependent magnetic elements. Important applications of this work include the studies of the charged particle dynamics in a storage ring with strong field wigglers, arbitrarily polarized insertion devices,and super-conducting magnets with strong fringe fields. Consequently, this work will have a significant impact on the optimal use of the above magnetic devices in the light source rings as well as in next generation linear collider damping rings.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE Director, Office of Science. Office of Basic Energy Sciences. Division of Materials Sciences (US)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 835340
- Report Number(s):
- LBNL-48172; R&D Project: 458001; TRN: US0500022
- Journal Information:
- Physical Review E, Vol. 6804, Issue 4 Part 2; Other Information: Submitted to Physical Review E, Volume 6804, No.4, Part 2; Journal Publication Date: 10/2003; PBD: 1 Jun 2001
- Country of Publication:
- United States
- Language:
- English
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