Integrals for IBS and beam cooling

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Simulation of beam cooling usually requires performing certain integral transformations every time step or so, which is a significant burden on the CPU. Examples are the dispersion integrals (Hilbert transforms) in the stochastic cooling, wake fields and IBS integrals. An original method is suggested for fast and sufficiently accurate computation of the integrals. This method is applied for the dispersion integral. Some methodical aspects of the IBS analysis are discussed.

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5 pages

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Burov, A. January 1, 2005.

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Simulation of beam cooling usually requires performing certain integral transformations every time step or so, which is a significant burden on the CPU. Examples are the dispersion integrals (Hilbert transforms) in the stochastic cooling, wake fields and IBS integrals. An original method is suggested for fast and sufficiently accurate computation of the integrals. This method is applied for the dispersion integral. Some methodical aspects of the IBS analysis are discussed.

Physical Description

5 pages

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  • Prepared for 33rd ICFA Advanced Beam Dynamics Workshop: High Intensity High Brightness Hadron Beams (ICFA HB2004), Bensheim, Darmstadt, Germany, 18-22 Oct 2004

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  • Report No.: FERMILAB-CONF-05-460-AD
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 878962
  • Archival Resource Key: ark:/67531/metadc873841

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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.

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  • January 1, 2005

Added to The UNT Digital Library

  • Sept. 21, 2016, 2:29 a.m.

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  • Sept. 26, 2017, 12:24 p.m.

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Burov, A. Integrals for IBS and beam cooling, article, January 1, 2005; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc873841/: accessed December 13, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.