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 |
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.
©2008 The American Physical Society
URL: http://link.aps.org/abstract/PRSTAB/v11/e032802
DOI: 10.1103/PhysRevSTAB.11.032802
PACS: 29.27.Fh, 41.75.−i, 29.20.db
* cytan@fnal.gov
† ranjbar@txcorp.com
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