Computation of the Main and Fringe Fields for the Electrostatic Quadrupoles of the Muon $$g\textrm{}2$$ Experiment Storage
Abstract
We developed a highly accurate and fully Maxwellian conformal mapping method for cal culation of main elds of electrostatic particle optical elements. A remarkable advantage of this method is the possibility of rapid recalculations with geometric asymmetries and mispowered plates. We used this conformal mapping method to calculate the multipole terms of the high voltage quadrupoles in the storage ring of the Muon g2 Experiment (FNALE0989). Next, we demonstrate that an eect where the observed tunes cor respond to a voltage that is about 4% higher compared to the voltage to which the Muon g2 quadrupoles are set is explained by the conceptual and quantitative dier ences between the beam optics quadrupole voltage and the quadrupole voltage at the plates. Completing the methodological framework for eld computations, we present a method for extracting multipole strength fallos of a particle optical element from a set of Fourier mode fallos. We calculated the quadrupole strength fallo and its eective eld boundary (EFB) for the Muon g2 quadrupole, which has explained the experimentally measured tunes, while simple estimates based on a linear model exhibited discrepancies up to 2 %.
 Authors:

 Michigan State U.
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1561533
 Report Number(s):
 FERMILABPUB19092PPD
oai:inspirehep.net:1753565
 DOE Contract Number:
 AC0207CH11359
 Resource Type:
 Journal Article
 Journal Name:
 Int.J.Mod.Phys.A
 Additional Journal Information:
 Journal Name: Int.J.Mod.Phys.A
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Valetov, Eremey, Berz, Martin, and Makino, Kyoko. Computation of the Main and Fringe Fields for the Electrostatic Quadrupoles of the Muon $g\textrm{}2$ Experiment Storage. United States: N. p., 2019.
Web.
Valetov, Eremey, Berz, Martin, & Makino, Kyoko. Computation of the Main and Fringe Fields for the Electrostatic Quadrupoles of the Muon $g\textrm{}2$ Experiment Storage. United States.
Valetov, Eremey, Berz, Martin, and Makino, Kyoko. Wed .
"Computation of the Main and Fringe Fields for the Electrostatic Quadrupoles of the Muon $g\textrm{}2$ Experiment Storage". United States. https://www.osti.gov/servlets/purl/1561533.
@article{osti_1561533,
title = {Computation of the Main and Fringe Fields for the Electrostatic Quadrupoles of the Muon $g\textrm{}2$ Experiment Storage},
author = {Valetov, Eremey and Berz, Martin and Makino, Kyoko},
abstractNote = {We developed a highly accurate and fully Maxwellian conformal mapping method for cal culation of main elds of electrostatic particle optical elements. A remarkable advantage of this method is the possibility of rapid recalculations with geometric asymmetries and mispowered plates. We used this conformal mapping method to calculate the multipole terms of the high voltage quadrupoles in the storage ring of the Muon g2 Experiment (FNALE0989). Next, we demonstrate that an eect where the observed tunes cor respond to a voltage that is about 4% higher compared to the voltage to which the Muon g2 quadrupoles are set is explained by the conceptual and quantitative dier ences between the beam optics quadrupole voltage and the quadrupole voltage at the plates. Completing the methodological framework for eld computations, we present a method for extracting multipole strength fallos of a particle optical element from a set of Fourier mode fallos. We calculated the quadrupole strength fallo and its eective eld boundary (EFB) for the Muon g2 quadrupole, which has explained the experimentally measured tunes, while simple estimates based on a linear model exhibited discrepancies up to 2 %.},
doi = {},
journal = {Int.J.Mod.Phys.A},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {9}
}