Betatron motion with coupling of horizontal and vertical degrees of freedom [electronic resource].
- Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 1999.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- 1,309 Kilobytes pages : digital, PDF file
- Additional Creators:
- Thomas Jefferson National Accelerator Facility (U.S.), United States. Department of Energy. Office of Energy Research, and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- 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.
- Report Numbers:
- E 1.99:doe/er/40150-1275
E 1.99: jlab-acc-99-19
- Other Subject(s):
- Published through SciTech Connect.
V.A. Lebedev; S.A. Bogacz.
- Funding Information:
View MARC record | catkey: 14687844