LARP LARP Document 547-v1

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Continuous transverse excitation for measureing chromaticity from the head-tail phase difference: an analytic approximation with experimental data

Document #:
LARP-doc-547-v1
Document type:
Note
Submitted by:
Cheng-Yang Tan
Updated by:
Cheng-Yang Tan
Document Created:
25 Apr 2007, 10:11
Contents Revised:
25 Apr 2007, 10:11
Metadata Revised:
25 Apr 2007, 10:11
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Abstract:
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 few examples are used to compare this solution with numerical ones and they are found to be nearly identical. A simple formula for calculating chromaticity from experimental data is also shown. Finally the theory is compared with experimental data.
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Also appears as Fermilab Technical Memo TM-2376
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