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Phys. Rev. ST Accel. Beams 11, 094001 (2008) [15 pages]

Measuring localized nonlinear components in a circular accelerator with a nonlinear tune response matrix

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G. Franchetti, A. Parfenova, and I. Hofmann
GSI Darmstadt, D-64291 Darmstadt, Germany

Received 2 May 2008; published 16 September 2008

In this paper we present a method for measuring the nonlinear errors in a circular accelerator by taking advantage of the feed-down effect of high order multipoles when the closed orbit is globally deformed. We devise a nonlinear tune response matrix in which the response to a closed orbit deformation is obtained in terms of change of machine tune and correlated with the strength of the local multipoles. A numerical example and a proof of principle experiment to validate the theoretical methods are presented and discussed.

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© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.11.094001
DOI:
10.1103/PhysRevSTAB.11.094001
PACS:
41.85.Lc, 29.27.Bd