Phys. Rev. ST Accel. Beams 6, 124202 (2003) [11 pages]Effect of space charge on linear coupling and gradient errors in high-intensity rings
We study the response of coasting beams in the presence of space charge to linear coupling as well as gradient errors, based on linearizing the self-consistent Vlasov-Poisson equation. We determine the coherent shift of the resonance conditions as well as the response on lattice errors in smooth approximation, but allowing for arbitrary tune and/or emittance ratios. A characteristic feature is cancellation between the external forces due to the lattice errors and the beam induced space-charge forces, if the resonance condition is satisfied for the (space-charge shifted) single-particle tunes. For the linear coupling mode and small tune split we also identify a parameter region, where spontaneous instability exists in addition to the resonance. 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.6.124202
DOI:
10.1103/PhysRevSTAB.6.124202
PACS:
41.75.–i, 29.20.–c
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