Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
}
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 -