Phys. Rev. ST Accel. Beams 9, 084001 (2006) [14 pages]Resonance crossing experiment at a proof of principle fixed field alternating gradient accelerator
An experimental study of crossing a third order uncoupled resonance was performed in a proof of principle fixed field alternating gradient with various widths of resonance and crossing speed. We observed that part of the beam is transported to a larger amplitude when the crossing speed is relatively small. We derived an “adiabatic parameter” from a “particle trapping” model as a useful index for avoiding beam deterioration due to resonance crossing. It relates the crossing speed to the resonance width and the amount of nonlinear detuning. When the adiabatic parameter is more than 7, resonance crossing will not affect a beam. 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.9.084001
DOI:
10.1103/PhysRevSTAB.9.084001
PACS:
29.20.−c, 29.27.−a, 41.75.−i
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