Beams Document 2816-v3

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Parametrization of the Driven Betatron Oscillation

Document #:
Beams-doc-2816-v3
Document type:
Note
Submitted by:
Ryoichi Miyamoto
Updated by:
Ryoichi Miyamoto
Document Created:
19 Jun 2007, 18:02
Contents Revised:
25 Jul 2007, 15:44
Metadata Revised:
25 Jul 2007, 15:44
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Other Versions:
Beams-doc-2816-v5
28 Dec 2007, 14:08
Beams-doc-2816-v4
18 Sep 2007, 17:21
Beams-doc-2816-v2
25 Jul 2007, 15:39
Beams-doc-2816-v1
19 Jun 2007, 18:02
Abstract:
The AC dipole is a short dipole magnet to excite transverse motion of a beam to diagnose a
synchrotron. Instead of giving a single pulse like a conventional kicker/pinger magnet, it drives
the beam with its sinusoidally time varying field. The transverse motions excited by an AC dipole
(driven betatron oscillation) is slightly different from the natural betatron oscillation.
Although this difference is usually ignored because it becomes smaller when driving frequency and
betatron frequency gets closer, it has more than 6% of impact on lattice function measurement in
typical operations of an AC dipole. This paper shows such difference can be seen in measurements
using the AC dipole of the Tevatron and explained as difference of lattice functions between the
natural and driven betatron oscillation. The paper also mentions lattice function measurements
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Keywords:
beam_dynamics
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