A generic formulation for emittance and lattice function evolution for non-Hamiltonian systems with stochastic effects
Conference
·
OSTI ID:1188272
- Brookhaven National Lab. (BNL), Upton, NY (United States). Collider-Accelerator Dept.
I describe a generic formulation for the evolution of emittances and lattice functions under arbitrary, possibly non-Hamiltonian, linear equations of motion. The average effect of stochastic processes, which would include ionization interactions and synchrotron radiation, is also included. I first compute the evolution of the covariance matrix, then the evolution of emittances and lattice functions from that. I examine the particular case of a cylindrically symmetric system, which is of particular interest for ionization cooling.
- Research Organization:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- DOE Contract Number:
- DE-SC00112704
- OSTI ID:
- 1188272
- Report Number(s):
- BNL-107127-2015-CP; R&D Project: KBCH139; KB0202011
- Resource Relation:
- Conference: 6th International Particle Accelerator Conference (IPAC’15); Richmond, VA; 20150503 through 20150508
- Country of Publication:
- United States
- Language:
- English
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OSTI ID:1188272