Numerical construction of the Poincare map, with application to accelerators
Conference
·
OSTI ID:135543
We show how to construct a symplectic approximation to the Poincar{prime}e map, using data from a symplectic integrator. We illustrate by producing a full-turn map for a realistic model of the Large Hadron Collider. Mapping of one turn is typically faster by a factor of 60 than direct integration. This allows one to follow orbits over times comparable to the required storage time of the beam, on a workstation computer. Fast mapping also allows the construction of quasi-invariant actions, which aid in estimates of long-term stability.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 135543
- Report Number(s):
- SLAC-PUB-95-7045; CONF-9506286-1; ON: DE96002809; TRN: 96:001320
- Resource Relation:
- Conference: NATO advanced study institute on Hamiltonian systems with three or more degrees of freedom, Catalunya (Spain), 19-30 Jun 1995; Other Information: PBD: Oct 1995
- Country of Publication:
- United States
- Language:
- English
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