Longitudinal wake field corrections in circular machines

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In computations of longitudinal particle motions in accelerators and storage rings, the fields produced by the interactions of the beam with the cavity in which it circulates are usually calculated by multiplying Fourier components of the beam current by the appropriate impedances. This procedure neglects the slow variation with time of the Fourier coefficients and of the beam revolution frequency. When there are cavity elements with decay times that are comparable with or larger than the time during which changes in the beam parameters occur, these changes can not be neglected. Corrections for this effect have been worked out in ... continued below

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6 p.

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Symon, K.R. October 1, 1996.

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Description

In computations of longitudinal particle motions in accelerators and storage rings, the fields produced by the interactions of the beam with the cavity in which it circulates are usually calculated by multiplying Fourier components of the beam current by the appropriate impedances. This procedure neglects the slow variation with time of the Fourier coefficients and of the beam revolution frequency. When there are cavity elements with decay times that are comparable with or larger than the time during which changes in the beam parameters occur, these changes can not be neglected. Corrections for this effect have been worked out in terms of the response functions of elements in the ring. The result is expressed as a correction to the impedance which depends on the way in which the beam parameters are changing. A method is presented for correcting a numerical simulation by keeping track of the steady state and transient terms in the response of a cavity.

Physical Description

6 p.

Notes

INIS; OSTI as DE96015085

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  • CAP `96: 1996 computational accelerator physics conference, Williamsburg, VA (United States), 24-27 Sep 1996

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  • Other: DE96015085
  • Report No.: ANL/OTD-APS/CP--91009
  • Report No.: NSA--96-1;CONF-9609256--2
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 390591
  • Archival Resource Key: ark:/67531/metadc688567

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  • October 1, 1996

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  • July 25, 2015, 2:20 a.m.

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  • Dec. 16, 2015, 12:53 p.m.

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Symon, K.R. Longitudinal wake field corrections in circular machines, article, October 1, 1996; Illinois. (digital.library.unt.edu/ark:/67531/metadc688567/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.