Computer Simulation of Equilibrium Electron Beam Distribution in the Proximity of 4th Order Single Nonlinear Resonance

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Description

The beam distribution of particles in a storage ring can be distorted in the presence of nonlinear resonances. Computer simulation is used to study the equilibrium distribution of an electron beam in the presence of a single 4th order nonlinear resonance in a storage ring. Its result is compared with that obtained using an analytical approach by solving the Fokker-Planck equation to first order in the resonance strength. The effect of resonance on quantum lifetime of electron beam is also compared and investigated.

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3 pages

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Kuo, C.-C.; Tsai, H.-J.; Ueng, T.-S.; /NSRRC, Taiwan; Chao, A. & /SLAC May 9, 2005.

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Description

The beam distribution of particles in a storage ring can be distorted in the presence of nonlinear resonances. Computer simulation is used to study the equilibrium distribution of an electron beam in the presence of a single 4th order nonlinear resonance in a storage ring. Its result is compared with that obtained using an analytical approach by solving the Fokker-Planck equation to first order in the resonance strength. The effect of resonance on quantum lifetime of electron beam is also compared and investigated.

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3 pages

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  • Presented at the 9th European Particle Accelerator Conference (EPAC 2004), Lucerne, Switzerland, 5-9 Jul 2004

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  • Report No.: SLAC-PUB-11159
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 890849
  • Archival Resource Key: ark:/67531/metadc873078

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  • May 9, 2005

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  • Sept. 21, 2016, 2:29 a.m.

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  • Nov. 23, 2016, 11:21 a.m.

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Kuo, C.-C.; Tsai, H.-J.; Ueng, T.-S.; /NSRRC, Taiwan; Chao, A. & /SLAC. Computer Simulation of Equilibrium Electron Beam Distribution in the Proximity of 4th Order Single Nonlinear Resonance, article, May 9, 2005; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc873078/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.