Space-charge transport limits of ion beams in periodic quadrupole focusing channels

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It has been empirically observed in both experiments and particle-in-cell simulations that space-charge-dominated beams suffer strong growth in statistical phase-space area (degraded quality) and particle losses in alternating gradient quadrupole transport channels when the undepressed phase advance {sigma}{sub 0} increases beyond about 85{sup o} per lattice period. Although this criterion has been used extensively in practical designs of strong focusing intense beam transport lattices, the origin of the limit has not been understood.We propose a mechanism for the transport limit resulting from classes of halo particle resonances near the core of the beam that allow near-edge particles to rapidly increase ... continued below

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Lund, S M & Chawla, S R March 3, 2006.

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It has been empirically observed in both experiments and particle-in-cell simulations that space-charge-dominated beams suffer strong growth in statistical phase-space area (degraded quality) and particle losses in alternating gradient quadrupole transport channels when the undepressed phase advance {sigma}{sub 0} increases beyond about 85{sup o} per lattice period. Although this criterion has been used extensively in practical designs of strong focusing intense beam transport lattices, the origin of the limit has not been understood.We propose a mechanism for the transport limit resulting from classes of halo particle resonances near the core of the beam that allow near-edge particles to rapidly increase in oscillation amplitude when the space-charge intensity and the utter of the matched beam envelope are both sufficiently large. When coupled with a diffuse beam edge and/or perturbations internal to the beam core that can drive particles outside the edge, this mechanism can result in large and rapid halo-driven increases in the statistical phase-space area of the beam, lost particles, and degraded transport. A core-particle model is applied to parametrically analyze his process. Extensive self-consistent particle in cell simulations are employed to better quantify space-charge limit and verify core-particle model predictions.

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PDF-file: 19 pages; size: 0.5 Mbytes

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  • Journal Name: Nuclear Instruments and Methods in Physics Research A, vol. 561, N/A, March 24, 2006, pp. 203-208

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  • Report No.: UCRL-JRNL-219539
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 894771
  • Archival Resource Key: ark:/67531/metadc879038

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  • March 3, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 2, 2016, 12:03 p.m.

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Lund, S M & Chawla, S R. Space-charge transport limits of ion beams in periodic quadrupole focusing channels, article, March 3, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc879038/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.