An effective longitudinal space-charge impedance model for beamswith non-uniform and non-axissymmetric transverse density

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Description

Use of a one-dimensional model of longitudinal space-charge(SC) impedance has been proposed for studying the microbunchinginstability in single-pass delivery systems relevant for the nextgeneration of FELs. For beams with uniform transverse density andcircular cross-section of radius r_b the SC impedance can be expressed ina handy analytical form, making this model particularly convenient. Inthis report we show how with an appropriate choice of r_b one can usethis as an effective-beam model to approximate beams with non-axissymmetric and non-uniform transverse densities.

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Venturini, Marco June 29, 2007.

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Description

Use of a one-dimensional model of longitudinal space-charge(SC) impedance has been proposed for studying the microbunchinginstability in single-pass delivery systems relevant for the nextgeneration of FELs. For beams with uniform transverse density andcircular cross-section of radius r_b the SC impedance can be expressed ina handy analytical form, making this model particularly convenient. Inthis report we show how with an appropriate choice of r_b one can usethis as an effective-beam model to approximate beams with non-axissymmetric and non-uniform transverse densities.

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  • Report No.: LBNL--63111
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.2172/927331 | External Link
  • Office of Scientific & Technical Information Report Number: 927331
  • Archival Resource Key: ark:/67531/metadc894612

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  • June 29, 2007

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

Description Last Updated

  • Nov. 23, 2016, 5:19 p.m.

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Venturini, Marco. An effective longitudinal space-charge impedance model for beamswith non-uniform and non-axissymmetric transverse density, report, June 29, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc894612/: accessed September 26, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.