Rights statement: Electronic version of this article published as Computation of the main and fringe fields for the electrostatic quadrupoles of the muon g − 2 storage ring in International Journal of Modern Physics A 2019 34:36 10.1142/S0217751X19420417 © 2019 World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijmpa
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Computation of the main and fringe fields for the electrostatic quadrupoles of the Muon g-2 storage ring
AU - Valetov, E.
AU - Berz, M.
AU - Makino, K.
N1 - Conference code: 13
PY - 2019/12/2
Y1 - 2019/12/2
N2 - We developed a highly accurate and fully Maxwellian conformal mapping method for calculation of main fields 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 g−2 Experiment (FNAL-E-0989). Next, we demonstrate that an effect where the observed tunes correspond to a voltage that is about 4% higher compared to the voltage to which the Muon g−2 quadrupoles are set is explained by the conceptual and quantitative differences between the beam optics quadrupole voltage and the quadrupole voltage at the plates. Completing the methodological framework for field computations, we present a method for extracting multipole strength falloffs of a particle optical element from a set of Fourier mode falloffs. We calculated the quadrupole strength falloff and its effective field boundary (EFB) for the Muon g−2 quadrupole, which has explained the experimentally measured tunes, while simple estimates based on a linear model exhibited discrepancies up to 2%.
AB - We developed a highly accurate and fully Maxwellian conformal mapping method for calculation of main fields 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 g−2 Experiment (FNAL-E-0989). Next, we demonstrate that an effect where the observed tunes correspond to a voltage that is about 4% higher compared to the voltage to which the Muon g−2 quadrupoles are set is explained by the conceptual and quantitative differences between the beam optics quadrupole voltage and the quadrupole voltage at the plates. Completing the methodological framework for field computations, we present a method for extracting multipole strength falloffs of a particle optical element from a set of Fourier mode falloffs. We calculated the quadrupole strength falloff and its effective field boundary (EFB) for the Muon g−2 quadrupole, which has explained the experimentally measured tunes, while simple estimates based on a linear model exhibited discrepancies up to 2%.
U2 - 10.1142/S0217751X19420417
DO - 10.1142/S0217751X19420417
M3 - Journal article
VL - 34
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 36
M1 - 1942041
T2 - 13th International Computational Accelerator Physics Conference
Y2 - 20 October 2018 through 24 October 2018
ER -