Phys. Rev. ST Accel. Beams 8, 094001 (2005) [7 pages]Dependence of average path length betatron motion in a storage ring
Yoshihiko Shoji * Received 29 March 2005; published 27 September 2005 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. ©2005 The American Physical Society
URL: http://link.aps.org/doi/10.1103/PhysRevSTAB.8.094001 * Email address: shoji@lasti.u-hyogo.ac.jp [ Abstract | Previous article | Next article | Issue 9 ] |
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