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Phys. Rev. ST Accel. Beams 11, 032802 (2008) [11 pages]

Analytic approximation of the head-tail phase difference from continuous transverse excitation for measuring chromaticity

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C. Y. Tan*
Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA

V. H. Ranjbar
Tech-X Corporation, Boulder, Colorado 80303, USA

Received 4 September 2007; published 4 March 2008

We will explore a method for measuring chromaticity by continuously kicking the beam transversely. This is called the continuous head-tail method for measuring chromaticity. The complete analytic approximation in terms of trigonometric functions is derived for zero transverse emittance beam. A simple formula for calculating chromaticity from experimental data is also shown. Finally, the theory is compared with experimental data.

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.11.032802
DOI:
10.1103/PhysRevSTAB.11.032802
PACS:
29.27.Fh, 41.75.−i, 29.20.db

*cytan@fnal.gov

ranjbar@txcorp.com