Space charge templates for high-current beam modeling

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A computational method to evaluate space charge potential and gradients of charged particle beam in the presence of conducting boundaries, has been introduced. The three-dimensional (3D) field of the beam can be derived as a convolution of macro Green's functions (template fields), satisfying the same boundary conditions, as the original beam. Numerical experiments gave a confidence that space charge effects can be modeled by templates with enough accuracy and generality within dramatically faster computational times than standard combination: a grid density + Poisson solvers, realized in the most of Particle in Cell codes. The achieved rapidity may significantly broaden the ... continued below

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31 pages

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Vorobiev, Leonid G. July 1, 2008.

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A computational method to evaluate space charge potential and gradients of charged particle beam in the presence of conducting boundaries, has been introduced. The three-dimensional (3D) field of the beam can be derived as a convolution of macro Green's functions (template fields), satisfying the same boundary conditions, as the original beam. Numerical experiments gave a confidence that space charge effects can be modeled by templates with enough accuracy and generality within dramatically faster computational times than standard combination: a grid density + Poisson solvers, realized in the most of Particle in Cell codes. The achieved rapidity may significantly broaden the high-current beam design space, making the optimization in automatic mode possible, which so far was only feasible for simplest self-field formulations such as rms envelope equations. The template technique may be used as a standalone program, or as an optional field solver in existing beam dynamics codes both in one-passage structures and in rings.

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31 pages

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  • Report No.: FERMILAB-PUB-08-236-APC
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 938464
  • Archival Resource Key: ark:/67531/metadc900338

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  • July 1, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 26, 2017, 12:50 p.m.

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Vorobiev, Leonid G. Space charge templates for high-current beam modeling, article, July 1, 2008; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc900338/: accessed November 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.