A numerical study of bunched beam transverse e-p instability based on the centroid model

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In a recent theoretical study of the transverse electron-proton (e-p) instability, an asymptotic solution has been found for the equations describing the centroid motion of the traversing proton bunch and the stationary background electrons. It was shown that the combination of finite proton bunch length, non-uniform proton line density, and the single-pass e-p interaction cause the instability to evolve intricately in space and time even in the linear regime. This paper reports a numerical study of the e-p instability based on the same centroid equations. The purpose of the work is to compare the numerical solution with the analytic solution ... continued below

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3 p.

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Wang, T. F. (Tai-Sen F.) January 1, 2003.

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In a recent theoretical study of the transverse electron-proton (e-p) instability, an asymptotic solution has been found for the equations describing the centroid motion of the traversing proton bunch and the stationary background electrons. It was shown that the combination of finite proton bunch length, non-uniform proton line density, and the single-pass e-p interaction cause the instability to evolve intricately in space and time even in the linear regime. This paper reports a numerical study of the e-p instability based on the same centroid equations. The purpose of the work is to compare the numerical solution with the analytic solution and to use the numerical approach to investigate the early development of the instability not covered by the asymptotic solution. In particular, the instability threshold and the initial growth of the instability are studied for various proton-beam conditions, fraction of charge neutralization, and initial perturbations.

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3 p.

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  • Submitted to: 2003 Particle Accelerator Conference (PAC2003), Portland, OR, May 12-16, 2003

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  • Report No.: LA-UR-03-3154
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 976657
  • Archival Resource Key: ark:/67531/metadc933156

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Office of Scientific & Technical Information Technical Reports

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  • January 1, 2003

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 4:30 p.m.

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Wang, T. F. (Tai-Sen F.). A numerical study of bunched beam transverse e-p instability based on the centroid model, article, January 1, 2003; United States. (digital.library.unt.edu/ark:/67531/metadc933156/: accessed June 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.