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Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

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Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring. / Herrod, Alex; Wolski, Andy; Jones, Sam; Bailey, Ian Richard; Korostelev, Maxim.

IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference. ed. / Gianluigi Arduini; Mats Lindroos; Juliana Pranke; Volker R.W. Schaa; Mike Seidel. JACoW, 2017.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

Harvard

Herrod, A, Wolski, A, Jones, S, Bailey, IR & Korostelev, M 2017, Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring. in G Arduini, M Lindroos, J Pranke, VRW Schaa & M Seidel (eds), IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference. JACoW, IPAC 2017, Copenhagen, Denmark, 14/05/17. https://doi.org/10.18429/JACoW-IPAC2017-THPAB055

APA

Herrod, A., Wolski, A., Jones, S., Bailey, I. R., & Korostelev, M. (2017). Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring. In G. Arduini, M. Lindroos, J. Pranke, V. R. W. Schaa, & M. Seidel (Eds.), IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference JACoW. https://doi.org/10.18429/JACoW-IPAC2017-THPAB055

Vancouver

Herrod A, Wolski A, Jones S, Bailey IR, Korostelev M. Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring. In Arduini G, Lindroos M, Pranke J, Schaa VRW, Seidel M, editors, IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference. JACoW. 2017 https://doi.org/10.18429/JACoW-IPAC2017-THPAB055

Author

Herrod, Alex ; Wolski, Andy ; Jones, Sam ; Bailey, Ian Richard ; Korostelev, Maxim. / Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring. IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference. editor / Gianluigi Arduini ; Mats Lindroos ; Juliana Pranke ; Volker R.W. Schaa ; Mike Seidel. JACoW, 2017.

Bibtex

@inproceedings{07a8127662954d0e8a291403fd73e4fe,
title = "Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring",
abstract = "The Fermilab Muon g-2 Experiment (E989) contains flat-plate electrostatic quadrupoles, curved with the reference trajectory as defined by the constant, uniform magnetic dipole field. To understand the beam behaviour at a sufficient level, we require fast, high-accuracy particle tracking methods for this layout. Standard multipole fits to numerically calculated 2D transverse electric field maps have provided a first approximation to the electric field within the main part of the quadrupole, but cannot model the longitudinal curvature or extended fringe fields of the electrostatic plates. Expressions for curvilinear multipoles can be fit to a 2D transverse slice taken from the central point of a numerically calculated 3D electric field map of the quadrupole, providing a curved-multipole description. Generalised gradients can be used to model the fringe field regions. We present the results of curvilinear multipole and generalised gradient fits to the curved quadrupole fields, and the differences in tracking using these fields over 200 turns of a model of the storage ring in BMAD.",
author = "Alex Herrod and Andy Wolski and Sam Jones and Bailey, {Ian Richard} and Maxim Korostelev",
year = "2017",
month = may,
day = "18",
doi = "10.18429/JACoW-IPAC2017-THPAB055",
language = "English",
isbn = "9783954501823",
editor = "Gianluigi Arduini and Mats Lindroos and Juliana Pranke and Schaa, {Volker R.W. } and Mike Seidel",
booktitle = "IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference",
publisher = "JACoW",
note = "IPAC 2017 : 8th International Particle Accelerator Conference ; Conference date: 14-05-2017 Through 19-05-2017",
url = "https://ipac17.org/",

}

RIS

TY - GEN

T1 - Modelling of Curvilinear Electrostatic Multipoles in the Fermilab Muon g-2 Storage Ring

AU - Herrod, Alex

AU - Wolski, Andy

AU - Jones, Sam

AU - Bailey, Ian Richard

AU - Korostelev, Maxim

PY - 2017/5/18

Y1 - 2017/5/18

N2 - The Fermilab Muon g-2 Experiment (E989) contains flat-plate electrostatic quadrupoles, curved with the reference trajectory as defined by the constant, uniform magnetic dipole field. To understand the beam behaviour at a sufficient level, we require fast, high-accuracy particle tracking methods for this layout. Standard multipole fits to numerically calculated 2D transverse electric field maps have provided a first approximation to the electric field within the main part of the quadrupole, but cannot model the longitudinal curvature or extended fringe fields of the electrostatic plates. Expressions for curvilinear multipoles can be fit to a 2D transverse slice taken from the central point of a numerically calculated 3D electric field map of the quadrupole, providing a curved-multipole description. Generalised gradients can be used to model the fringe field regions. We present the results of curvilinear multipole and generalised gradient fits to the curved quadrupole fields, and the differences in tracking using these fields over 200 turns of a model of the storage ring in BMAD.

AB - The Fermilab Muon g-2 Experiment (E989) contains flat-plate electrostatic quadrupoles, curved with the reference trajectory as defined by the constant, uniform magnetic dipole field. To understand the beam behaviour at a sufficient level, we require fast, high-accuracy particle tracking methods for this layout. Standard multipole fits to numerically calculated 2D transverse electric field maps have provided a first approximation to the electric field within the main part of the quadrupole, but cannot model the longitudinal curvature or extended fringe fields of the electrostatic plates. Expressions for curvilinear multipoles can be fit to a 2D transverse slice taken from the central point of a numerically calculated 3D electric field map of the quadrupole, providing a curved-multipole description. Generalised gradients can be used to model the fringe field regions. We present the results of curvilinear multipole and generalised gradient fits to the curved quadrupole fields, and the differences in tracking using these fields over 200 turns of a model of the storage ring in BMAD.

U2 - 10.18429/JACoW-IPAC2017-THPAB055

DO - 10.18429/JACoW-IPAC2017-THPAB055

M3 - Conference contribution/Paper

SN - 9783954501823

BT - IPAC 2017 Proceedings of the 8th International Particle Accelerator Conference

A2 - Arduini, Gianluigi

A2 - Lindroos, Mats

A2 - Pranke, Juliana

A2 - Schaa, Volker R.W.

A2 - Seidel, Mike

PB - JACoW

T2 - IPAC 2017

Y2 - 14 May 2017 through 19 May 2017

ER -