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Title: A generic formulation for emittance and lattice function evolution for non-Hamiltonian systems with stochastic effects

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.
Authors:
 [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Collider-Accelerator Dept.
Publication Date:
OSTI Identifier:
1188272
Report Number(s):
BNL--107127-2015-CP
R&D Project: KBCH139; KB0202011
DOE Contract Number:
DE-SC00112704
Resource Type:
Conference
Resource Relation:
Conference: 6th International Particle Accelerator Conference (IPAC’15); Richmond, VA; 20150503 through 20150508
Research Org:
Brookhaven National Laboratory (BNL)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS