Phys. Rev. ST Accel. Beams 8, 094001 (2005) [7 pages]Dependence of average path length betatron motion in a storage ring
The dependence of path length on betatron motion in a storage ring is analytically calculated from equations of motion using curvilinear coordinates. It is demonstrated that the change of average path length for one revolution is expressed by a sum of the products of invariant of betatron motion and chromaticity in both the horizontal and vertical directions. Because of this effect, a quasi-isochronous electron storage ring should have a considerable momentum spread when the chromaticities are large. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.8.094001
DOI:
10.1103/PhysRevSTAB.8.094001
PACS:
29.20.Dh, 29.27.−a, 41.75.−i
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