Transport matrices for nonlinear lattice functions

A. Antillón, E. Forest, B. Hoeneisen, F. Leyvraz

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We review some of the methods currently used to reliably calculate quasi-invariants and we make transparent the relation between our previous work and part of this article, with the Lie algebraic technique. We construct the explicit relation between them for the problem of transverse motion of particles in a storage ring. Here, the onset of distortions of phase space due to amplitude and chromatic effects is well described by periodic functions in addition to the Courant-Snyder functions α, β and γ. To use the periodic functions at the design stage of the machine, it is necessary to compute these functions efficiently. For this purpose we also present a convenient list of transport matrices for the periodic functions.

Original languageEnglish
Pages (from-to)247-256
Number of pages10
JournalNuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Issue number2
StatePublished - 20 Jul 1991


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