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

Abstract

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:
Research Org.:
Brookhaven National Laboratory (BNL)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
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
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Berg, J. S. A generic formulation for emittance and lattice function evolution for non-Hamiltonian systems with stochastic effects. United States: N. p., 2015. Web.
Berg, J. S. A generic formulation for emittance and lattice function evolution for non-Hamiltonian systems with stochastic effects. United States.
Berg, J. S. Sun . "A generic formulation for emittance and lattice function evolution for non-Hamiltonian systems with stochastic effects". United States. https://www.osti.gov/servlets/purl/1188272.
@article{osti_1188272,
title = {A generic formulation for emittance and lattice function evolution for non-Hamiltonian systems with stochastic effects},
author = {Berg, J. S.},
abstractNote = {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.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2015},
month = {5}
}

Conference:
Other availability
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