Keyword: electromagnetic-fields
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MOB2CO04 Multiphysics Analysis of Crab Cavities for High Luminosity LHC Upgrade ion, cavity, luminosity, simulation 17
  • O. Kononenko, Z. Li
    SLAC, Menlo Park, California, USA
  • R. Calaga, C. Zanoni
    CERN, Geneva, Switzerland
  Funding: The work is supported by U.S. Department of Energy under Contract No. DE-AC02-76SF00515.
Development of the superconducting RF crab cavities is one of the major activities under the high luminosity LHC upgrade project that aims to increase the machine discovery potential. The crab cavities will be used for maximizing and leveling the LHC luminosity hence having tight tolerances for the operating voltage and phase. RF field stability in its turn is sensitive to Lorentz force and external loads, so an accurate modelling of these effects is very important. Using the massively parallel ACE3P simulation suite developed at SLAC, we perform a corresponding multiphysics analysis of the electro-mechanical interactions for the RFD crab cavity design in order to ensure the operational reliability of the LHC crabbing system.
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WEA1IO02 Computation of Electromagnetic Fields Generated by Relativistic Beams in Complicated Structures ion, simulation, vacuum, wakefield 642
  • I. Zagorodnov
    DESY, Hamburg, Germany
  We discuss recent developments of numerical methods for computation of wakefields excited by short bunches in accelerators. They include a low-dispersive computational algorithm, conformal approximation of the boundaries, surface conductivity, and indirect wake potential integration. The implementation of these methods in the electromagnetic code ECHO for 2D and 3D problems are presented with a special emphasis on a new ECHO2D code for fast calculations of wakefields in rectangular geometries. Several examples of application of the code to calculation of wakefields for the European Free Electron Laser project and in the Linac Coherent Light Source (LCLS) project are considered.  
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THPOA31 Sector Magnets or Transverse Electromagnetic Fields in Cylindrical Coordinates ion, multipole, dipole, HOM 1167
  • T. Zolkin
    Fermilab, Batavia, Illinois, USA
  Laplace's equation in normalized cylindrical coordinates is considered for scalar and vector potentials describing electric or magnetic fields with invariance along the azimuthal coordinate (arXiv:1603.03451). A series of special functions are found which when expanded to lowest order in power series in radial and vertical coordinates (rho=1 and y=0) replicate harmonic homogeneous polynomials in two variables. These functions are based on radial harmonics found by Edwin M. McMillan forty years ago. In addition to McMillan's harmonics, a second family of radial harmonics is introduced to provide a symmetric description between electric and magnetic fields and to describe fields and potentials in terms of the same functions. Formulas are provided which relate any transverse fields specified by the coefficients in the power series expansion in radial or vertical planes in cylindrical coordinates with the set of new functions. This result is important for potential theory and for theoretical study, design and proper modeling of sector dipoles, combined function dipoles and any general sector element for accelerator physics and spectrometry.  
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