Space-charge forces of a DC beam in a continuous bend

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It has been shown that the net space-charge forces for a dc beam with space-charge potential depression in a bend have the usual inverse energy square dependence to the first order in the beam radius a over the bend radius R. We extend the analysis to the second order in a/R and allow the beam to have a small transverse displacement. The net space-charge forces are no longer cancelled to inverse energy square factor. The non-cancelled part of self-induced magnetic forces are at the second order in a/R and independent of the beam energy. The nonlinear parts of these forces ... continued below

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6 p.

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Chen, Yu-Jiuan May 1, 1997.

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It has been shown that the net space-charge forces for a dc beam with space-charge potential depression in a bend have the usual inverse energy square dependence to the first order in the beam radius a over the bend radius R. We extend the analysis to the second order in a/R and allow the beam to have a small transverse displacement. The net space-charge forces are no longer cancelled to inverse energy square factor. The non-cancelled part of self-induced magnetic forces are at the second order in a/R and independent of the beam energy. The nonlinear parts of these forces are much larger than that of the usual inverse energy square forces. Scaling laws for emittance growth caused by the curvature of the beam and a transverse beam displacement, respectively, are presented.

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6 p.

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OSTI as DE97053402

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  • 17. IEEE particle accelerator conference, Vancouver (Canada), 12-16 May 1997

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  • Other: DE97053402
  • Report No.: UCRL-JC--127275
  • Report No.: CONF-970503--
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 292441
  • Archival Resource Key: ark:/67531/metadc682715

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • May 1, 1997

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  • July 25, 2015, 2:20 a.m.

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  • Feb. 23, 2016, 12:19 p.m.

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Chen, Yu-Jiuan. Space-charge forces of a DC beam in a continuous bend, article, May 1, 1997; California. (digital.library.unt.edu/ark:/67531/metadc682715/: accessed December 16, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.