Kirchhoff's Integral Representation and a Cavity Wake Potential

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A method is proposed for the calculation of the short-range wake field potentials of an ultra-relativistic bunch passing near some irregularities in a beam pipe. The method is based on the space-time domain integration of Maxwell's equations using Kirchhoff's formulation. We demonstrate this method on two cases where we obtain the wake potentials for the energy loss of a bunch traversing an iris-collimator in a beam pipe and for a cavity. Likewise, formulas are derived for Green's functions that describe the transverse force action of wake fields. Simple formulas for the total energy loss of a bunch with a Gaussian ... continued below

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12 pages

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Novokhatski, Alexander February 17, 2012.

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Description

A method is proposed for the calculation of the short-range wake field potentials of an ultra-relativistic bunch passing near some irregularities in a beam pipe. The method is based on the space-time domain integration of Maxwell's equations using Kirchhoff's formulation. We demonstrate this method on two cases where we obtain the wake potentials for the energy loss of a bunch traversing an iris-collimator in a beam pipe and for a cavity. Likewise, formulas are derived for Green's functions that describe the transverse force action of wake fields. Simple formulas for the total energy loss of a bunch with a Gaussian charge density distribution are derived as well. The derived estimates are compared with computer results and predictions of other models.

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12 pages

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  • Journal Name: Submitted to Physical Review Special Topics - Accelerators and Beams

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  • Report No.: SLAC-PUB-13937
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 1035126
  • Archival Resource Key: ark:/67531/metadc837337

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  • February 17, 2012

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Nov. 29, 2016, 4:44 p.m.

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Novokhatski, Alexander. Kirchhoff's Integral Representation and a Cavity Wake Potential, article, February 17, 2012; United States. (digital.library.unt.edu/ark:/67531/metadc837337/: accessed August 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.