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

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Publication date18/05/2017
Host publicationIPAC 2017 Proceedings of the 8th International Particle Accelerator Conference
EditorsGianluigi Arduini, Mats Lindroos, Juliana Pranke, Volker R.W. Schaa, Mike Seidel
PublisherJACoW
Number of pages3
ISBN (Print)9783954501823
<mark>Original language</mark>English
EventIPAC 2017: 8th International Particle Accelerator Conference - Bella Center, Copenhagen, Denmark
Duration: 14/05/201719/05/2017
https://ipac17.org/

Conference

ConferenceIPAC 2017
Country/TerritoryDenmark
CityCopenhagen
Period14/05/1719/05/17
Internet address

Conference

ConferenceIPAC 2017
Country/TerritoryDenmark
CityCopenhagen
Period14/05/1719/05/17
Internet address

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.