Betatron motion with coupling of horizontal and vertical degrees of freedom
Journal Article
·
OSTI ID:754650
The Courant-Snyder parameterization of one-dimensional linear betatron motion is generalized to two-dimensional coupled linear motion. To represent the 4 x 4 symplectic transfer matrix the following ten parameters were chosen: four beta-function, four alpha-functions and two betatron phase advances. The beta-functions have a meaning similar to the Courant-Snyder parameterization, and the definition of alpha-functions coincides with the standard one at regions with zero longitudinal magnetic field, where they are equal to negative half-derivatives of the beta-functions. Such a parameterization can be useful for analysis of coupled betatron motion in circular machines and transfer lines.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 754650
- Report Number(s):
- DOE/ER/40150-1275; JLAB-ACC-99-19; TRN: US0002259
- Resource Relation:
- Other Information: PBD: 1 Oct 1999
- Country of Publication:
- United States
- Language:
- English
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