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URLhttps://doi.org/10.18429/JACoW-IPAC2023-WEPA064
TitleGeneralized gradient map tracking in the Siberian snakes of the AGS and RHIC
Authors
  • W. Lin, D. Sagan, E. Hamwi, G. Hoffstaetter
    Cornell University (CLASSE)
  • V. Schoefer
    Brookhaven National Laboratory
AbstractAccurate and efficient particle tracking through Siberian Snakes is crucial to building comprehensive accelerator simulation model. At the Alternating Gradient Synchrotron (AGS) and Relativistic Heavy Ion Collider (RHIC), Siberian Snakes are traditionally modeled in MAD-X by Taylor map matrices generated at specific current and energy configurations. This method falls short during ramping due to the nonphysical jumps between matrices. Another common method is to use grid field maps for the Snakes, but field map files are usually very large and thus cumbersome to use. In this work, we apply a new method called the Generalized Gradient (GG) map formalism to model complex fields in Siberian Snakes. GG formalism provides an analytic function in x and y for which automatic differentiation, i.e. Differential Algebra or Truncated Power Series Algebra can find accurate high order maps. We present simulation results of the Siberian Snakes in both the AGS and RHIC using the Bmad toolkit for accelerator simulation, demonstrating that GG formalism provides accurate particle tracking results.
Paperdownload: WEPA064.pdf
CiteBibTeX, LaTeX, Text/Word, RIS, EndNote
Conference14th International Particle Accelerator Conference
Series
LocationVenice, Italy
Date07-12 May 2023
PublisherJACoW Publishing, Geneva, Switzerland
Editorial BoardRalph Assmann - Deutsches Elektronen-Synchrotron DESY Peter McIntosh - Science and Technology Facilities Council (STFC/DL/ASTeC) Giovanni Bisoffi - Istituto Nazionale di Fisica Nucleare (INFN/LNL) Alessandro Fabris - Elettra-Sincrotrone Trieste S.C.p.A. Ivan Andrian - Elettra-Sincrotrone Trieste S.C.p.A. Giulia Vinicola - Istituto Nazionale di Fisica Nucleare (INFN/LNF)
Online ISBN978-3-95450-231-8
Online ISSN2673-5490
Received03 May 2023
Revised06 May 2023
Accepted15 June 2023
Issued26 September 2023
DOI10.18429/JACoW-IPAC2023-WEPA064
Pages2793-2796