Phys. Rev. E 63, 056502 (2001) [7 pages]Recursive solution for beam dynamics of periodic focusing channelsReceived 12 October 2000; published 18 April 2001 We present recursive analysis for beam dynamics of periodic focusing channels based on the Fourier coefficients of the focusing function. Formulas for orbit stability and the envelope function are derived. The results should be useful for numerical calculation and for developing analytical understanding of channels employing extended focusing elements. Applications to muon ionization cooling channels are discussed. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.056502
DOI:
10.1103/PhysRevE.63.056502
PACS:
41.85.Ja, 29.27.Bd, 41.75.-i
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