Efficient computation of matched solutions of the KV envelopeequation for periodic focusing lattices

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A new iterative method is developed to numerically calculate the periodic, matched beam envelope solution of the coupled Kapchinskij-Vladimirskij (KV) equations describing the transverse evolution of a beam in a periodic, linear focusing lattice of arbitrary complexity. Implementation of the method is straightforward. It is highly convergent and can be applied to all usual parameterizations of the matched envelope solutions. The method is applicable to all classes of linear focusing lattices without skew couplings, and also applies to parameters where the matched beam envelope is strongly unstable. Example applications are presented for periodic solenoidal and quadrupole focusing lattices. Convergence properties ... continued below

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Lund, Steven M.; Chilton, Sven H. & Lee, Edward P. January 3, 2006.

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Description

A new iterative method is developed to numerically calculate the periodic, matched beam envelope solution of the coupled Kapchinskij-Vladimirskij (KV) equations describing the transverse evolution of a beam in a periodic, linear focusing lattice of arbitrary complexity. Implementation of the method is straightforward. It is highly convergent and can be applied to all usual parameterizations of the matched envelope solutions. The method is applicable to all classes of linear focusing lattices without skew couplings, and also applies to parameters where the matched beam envelope is strongly unstable. Example applications are presented for periodic solenoidal and quadrupole focusing lattices. Convergence properties are summarized over a wide range of system parameters.

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  • Journal Name: Physical Review Special Topics -- Accelerators andBeams; Journal Volume: 9; Journal Issue: 6; Related Information: Journal Publication Date: 06/2006

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  • Report No.: LBNL--59350
  • Report No.: HIFAN 1515
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 901671
  • Archival Resource Key: ark:/67531/metadc888528

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  • January 3, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Sept. 29, 2016, 2:35 p.m.

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Lund, Steven M.; Chilton, Sven H. & Lee, Edward P. Efficient computation of matched solutions of the KV envelopeequation for periodic focusing lattices, article, January 3, 2006; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc888528/: accessed August 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.