Full-turn symplectic map from a generator in a Fourier-spline basis [electronic resource].
- Washington, D.C. : United States. Dept. of Energy, 1993.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- 6 pages : digital, PDF file
- Additional Creators:
- Stanford Linear Accelerator Center
United States. Department of Energy
United States. Department of Energy. Office of Scientific and Technical Information
- Given an arbitrary symplectic tracking code, one can construct a full-turn symplectic map that approximates the result of the code to high accuracy. The map is defined implicitly by a mixed-variable generating function. The implicit definition is no great drawback in practice, thanks to an efficient use of Newton`s method to solve for the explicit map at each iteration. The generator is represented by a Fourier series in angle variables, with coefficients given as B-spline functions of action variables. It is constructed by using results of single-turn tracking from many initial conditions. The method has been appliedto a realistic model of the SSC in three degrees of freedom. Orbits can be mapped symplectically for 10⁷ turns on an IBM RS6000 model 320 workstation, in a run of about one day.
- Published through SciTech Connect.
Computational accelerator physics conference (CAP93),Pleasanton, CA (United States),22-26 Feb 1993.
Berg, J.S.; Warnock, R.L.; Ruth, R.D.; Forest, E.
- Funding Information:
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