DocumentCode :
2150684
Title :
Symplectic full-turn maps in a Fourier representation
Author :
Berg, J.S. ; Warnock, R.L.
Author_Institution :
Stanford Univ., CA, USA
fYear :
1991
fDate :
6-9 May 1991
Firstpage :
1654
Abstract :
A method that uses an arbitrary sympletic tracking code to generate an exactly symplectic full-turn or multi-turn map has been developed. The map is obtained from a generating function, which is a finite Fourier series in the final angle coordinates, the Fourier coefficients being represented as a B-spline series in the initial action coordinates. The authors achieve fast iteration of this implicitly defined map, and good accuracy. As a first application, a simplified model of arcs of the SSC (Superconducting Super Collider) is treated.<>
Keywords :
particle beam diagnostics; proton accelerators; storage rings; synchrotrons; B-spline series; Fourier representation; SSC; Superconducting Super Collider; betatron motion; final angle coordinates; finite Fourier series; full turn maps; initial action coordinates; multiturn maps; sympletic tracking code; Contracts; Convergence; Fourier series; Government; Lattices; Linear accelerators; Linear systems; Physics; Spline; Taylor series;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
Type :
conf
DOI :
10.1109/PAC.1991.164734
Filename :
164734
Link To Document :
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