Linear and non-linear modelling of storage-ring performance
The luminosity and the maximum stored current quantify storage ring performance. Their relation to the linear and non-linear magnetic fields of the storage ring are explored. A review of pertinent storage ring physics is presented, using a Hamiltonian formulation for the equations of motion. Perturbations, off energy, and radiation effects are considered. The mini-beta project for CESR, Cornell Electron Storage Ring, is discussed. Remote solenoid coupling compensation necessary for mini-beta operation is studied. Methods for solving non-linear differential equations are reviewed, concentrating on predictions of the dynamic aperture. A new analytic method for predicting the dynamic aperture in accelerator storage rings is presented. Apertures set by sextupolar non-linearities in various model rings are predicted and applied to accelerators.
- Research Organization:
- Cornell Univ., Ithaca, NY (USA)
- OSTI ID:
- 5811394
- Country of Publication:
- United States
- Language:
- English
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