Betatron motion with coupling of horizontal and vertical degrees of freedom [electronic resource].

Published:: 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

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Summary:

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
jlab-acc-99-19
doe/er/40150-1275

Subject(s):

Particle Accelerators

Other Subject(s):

Note:

Published through SciTech Connect.
10/01/1999.
"doe/er/40150-1275"
" jlab-acc-99-19"
FT
V.A. Lebedev; S.A. Bogacz.

Funding Information:

AC05-84ER40150

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