Symplectic full-turn maps in a Fourier representation

Conference · Wed May 01 00:00:00 EDT 1991

OSTI ID:5843310

Berg, J S ^[1]; Warnock, R L ^[2]

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1. Stanford Univ., CA (USA). Dept. of Physics
2. Stanford Linear Accelerator Center, Menlo Park, CA (USA)

We have developed a method that uses an arbitrary symplectic tracking code to generate an exactly symplectic full-turn or multi-turn map. 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. We achieve fast iteration of this implicitly defined map, and good accuracy. As a first application, we treat a simplified model of arcs of the SSC. 5 refs., 1 fig.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5843310
• Report Number(s): SLAC-PUB-5458; CONF-910505-94; ON: DE91012912
• Resource Relation: Conference: 1991 Institute of Electrical and Electronics Engineers (IEEE) particle accelerator conference (PAC), San Francisco, CA (USA), 6-9 May 1991
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
MAPS
ALGORITHMS
FOURIER ANALYSIS
ITERATIVE METHODS
SPLINE FUNCTIONS
SUPERCONDUCTING SUPER COLLIDER
FUNCTIONS
MATHEMATICAL LOGIC
STORAGE RINGS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics