Linear coupling and tune adjustment for the 500 MeV cyclotron

The horizontal and vertical betatron tunes vary during acceleration in TRIUMF 500 MeV cyclotron, leading the beam to cross the linear coupling resonance ν_{r}-ν_{z}=1 multiple times. This results in a measurable transfer of betatron amplitude between the horizontal and the vertical planes. In this p...

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Main Authors: L. G. Zhang, Y.-N. Rao, R. Baartman, Y. Bylinskii, T. Planche
Format: Article
Language:English
Published: American Physical Society 2023-10-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.26.102801
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author L. G. Zhang
Y.-N. Rao
R. Baartman
Y. Bylinskii
T. Planche
author_facet L. G. Zhang
Y.-N. Rao
R. Baartman
Y. Bylinskii
T. Planche
author_sort L. G. Zhang
collection DOAJ
description The horizontal and vertical betatron tunes vary during acceleration in TRIUMF 500 MeV cyclotron, leading the beam to cross the linear coupling resonance ν_{r}-ν_{z}=1 multiple times. This results in a measurable transfer of betatron amplitude between the horizontal and the vertical planes. In this paper, we report the observation of an unanticipated crossing of this resonance which cannot be understood from the tune diagram derived from the original magnetic field survey of the cyclotron. We present how we have resolved this conundrum and the technique we have developed to measure the vertical tune, which is particularly challenging in a cyclotron. To correct the deleterious effects of this particular crossing, rather than canceling the resonance driving term, a new strategy was adopted whereby the vertical tune is adjusted locally and pushed away from the resonance line. This is accomplished using the axial field of trim coils, while also maintaining the overall isochronism of the machine.
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spelling doaj.art-1e4e67cb25b04bedab16ad9b83e0a47c2023-10-04T17:32:50ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882023-10-01261010280110.1103/PhysRevAccelBeams.26.102801Linear coupling and tune adjustment for the 500 MeV cyclotronL. G. ZhangY.-N. RaoR. BaartmanY. BylinskiiT. PlancheThe horizontal and vertical betatron tunes vary during acceleration in TRIUMF 500 MeV cyclotron, leading the beam to cross the linear coupling resonance ν_{r}-ν_{z}=1 multiple times. This results in a measurable transfer of betatron amplitude between the horizontal and the vertical planes. In this paper, we report the observation of an unanticipated crossing of this resonance which cannot be understood from the tune diagram derived from the original magnetic field survey of the cyclotron. We present how we have resolved this conundrum and the technique we have developed to measure the vertical tune, which is particularly challenging in a cyclotron. To correct the deleterious effects of this particular crossing, rather than canceling the resonance driving term, a new strategy was adopted whereby the vertical tune is adjusted locally and pushed away from the resonance line. This is accomplished using the axial field of trim coils, while also maintaining the overall isochronism of the machine.http://doi.org/10.1103/PhysRevAccelBeams.26.102801
spellingShingle L. G. Zhang
Y.-N. Rao
R. Baartman
Y. Bylinskii
T. Planche
Linear coupling and tune adjustment for the 500 MeV cyclotron
Physical Review Accelerators and Beams
title Linear coupling and tune adjustment for the 500 MeV cyclotron
title_full Linear coupling and tune adjustment for the 500 MeV cyclotron
title_fullStr Linear coupling and tune adjustment for the 500 MeV cyclotron
title_full_unstemmed Linear coupling and tune adjustment for the 500 MeV cyclotron
title_short Linear coupling and tune adjustment for the 500 MeV cyclotron
title_sort linear coupling and tune adjustment for the 500 mev cyclotron
url http://doi.org/10.1103/PhysRevAccelBeams.26.102801
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AT ynrao linearcouplingandtuneadjustmentforthe500mevcyclotron
AT rbaartman linearcouplingandtuneadjustmentforthe500mevcyclotron
AT ybylinskii linearcouplingandtuneadjustmentforthe500mevcyclotron
AT tplanche linearcouplingandtuneadjustmentforthe500mevcyclotron