Beams Document 2816-v4

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Parametrization of the Driven Betatron Oscillation

Document #:
Beams-doc-2816-v4
Document type:
Publication
Submitted by:
Ryoichi Miyamoto
Updated by:
Ryoichi Miyamoto
Document Created:
19 Jun 2007, 18:02
Contents Revised:
18 Sep 2007, 17:21
Metadata Revised:
18 Sep 2007, 17:21
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Beams-doc-2816-v5
28 Dec 2007, 14:08
Beams-doc-2816-v3
25 Jul 2007, 15:44
Beams-doc-2816-v2
25 Jul 2007, 15:39
Beams-doc-2816-v1
19 Jun 2007, 18:02
Abstract:
An AC dipole is a magnet which produces a sinusoidally oscillating dipole field and excites
coherent transverse beam motion in a synchrotron. By observing this coherent motion, the optical
parameters can be directly measured at the beam position monitor locations. The driven
oscillation induced by an AC dipole will generate a phase space ellipse which differs from that of
the free oscillation. If not properly accounted for, this difference can lead to a
misinterpretation of the actual optical parameters, for instance, of 6\% or more in the cases of
the Tevatron, RHIC, or LHC. The effect of an AC dipole on the linear optics parameters is identical
to that of a thin lens quadrupole. By introducing a new amplitude function to describe this new
phase space ellipse, the motion produced by an AC dipole becomes easier to interpret. Beam
An AC dipole is a magnet which produces a sinusoidally oscillating dipole field and excites
coherent transverse beam motion in a synchrotron. By observing this coherent motion, the optical
parameters can be directly measured at the beam position monitor locations. The driven
oscillation induced by an AC dipole will generate a phase space ellipse which differs from that of
the free oscillation. If not properly accounted for, this difference can lead to a
misinterpretation of the actual optical parameters, for instance, of 6\% or more in the cases of
the Tevatron, RHIC, or LHC. The effect of an AC dipole on the linear optics parameters is identical
to that of a thin lens quadrupole. By introducing a new amplitude function to describe this new
phase space ellipse, the motion produced by an AC dipole becomes easier to interpret. Beam
position data taken under the influence of an AC dipole, with this new interpretation in mind, can
lead to more precise measurements of the normal Courant-Snyder parameters. This new
parameterization of the driven motion is presented and is used to interpret data taken in the FNAL
Tevatron using an AC dipole.
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Keywords:
beam_dynamics
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