Author: Wolski, A.
Paper Title Page
TUPRO024 Benchmarking Studies of Intra Beam Scattering for HL-LHC 1064
 
  • D. Angal-Kalinin
    STFC/DL/ASTeC, Daresbury, Warrington, Cheshire, United Kingdom
  • A. Wolski
    The University of Liverpool, Liverpool, United Kingdom
  • A. Wolski
    Cockcroft Institute, Warrington, Cheshire, United Kingdom
 
  Funding: Research supported by EU FP7 HiLumi LHC - Grant Agreement 284404
The effects of Intra Beam Scattering (IBS) in the High Luminosity upgrade of the LHC (HL-LHC) will be stronger compared to effects in the present LHC because of the high intensity of the proton bunches and the new proposed optics. We present benchmarking studies carried out for the present LHC at injection and collision energies as well as HL-LHC at collision energy with the Achromatic Telescopic Squeezing optics. The results of IBS growth-rate calculations using the full Bjorken-Mtingwa formulae* are compared with simplified formulae**, Bane’s high energy approximation***, and the completely integrated modified Piwinski approximation****. The results of calculations based on these methods carried out in Mathematica are compared with results from the codes MAD-X and ZAP.
* J. Broken and S. Mtingwa, Part. Accel. 13, 115 (1983)
** K. Kubo et al, PRST-AB, 8, 081001 (2005)
*** K. Bane, EPAC2002
**** S. Mtingwa and A. Tollestrup, Fermilab-Pub-89/224, 1987.
 
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-TUPRO024  
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TUPRO025 Initial Estimate of Fringe Field Effects in HL-LHC using Frequency Map Analysis 1067
SUSPSNE002   use link to see paper's listing under its alternate paper code  
 
  • S. Jones, D. Newton, A. Wolski
    The University of Liverpool, Liverpool, United Kingdom
  • S. Jones, D. Newton, A. Wolski
    Cockcroft Institute, Warrington, Cheshire, United Kingdom
 
  Funding: Work supported by the Science and Technology Facilities Council, UK
The planned High Luminosity upgrade to the LHC will require stronger focusing of the beam in the interaction regions. To achieve this, the inner triplet quadrupoles will be replaced with new magnets having larger gradient and aperture. In this new focusing regime the quadrupole fringe fields are expected to have a greater effect on the beam dynamics, due to their large aperture, as compared to the nominal LHC. In this preliminary study, simplified models are used in a tracking code to assess the impact of the fringe fields on the dynamics using frequency map analysis.
 
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-TUPRO025  
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TUPRO075 Initial Analysis of the 4D Transfer Map in the Emma Non-Scaling Fixed Field Alternating Gradient Accelerator 1214
 
  • C.S. Edmonds, A. Wolski
    The University of Liverpool, Liverpool, United Kingdom
  • D.J. Kelliher, S. Machida
    STFC/RAL/ASTeC, Chilton, Didcot, Oxon, United Kingdom
  • B.D. Muratori, A. Wolski
    Cockcroft Institute, Warrington, Cheshire, United Kingdom
  • B.D. Muratori
    STFC/DL/ASTeC, Daresbury, Warrington, Cheshire, United Kingdom
 
  Funding: STFC
The EMMA non-scaling Fixed Field Alternating Gradient accelerator (ns FFAG) is a ring consisting of 42 quadrupole pairs. The dipole fields which guide particles around the ring are arrived at through offsetting the quadrupoles from a reference axis. In the ideal case, first order 4D transfer maps will describe the turn by turn progression of a particle bunch in transverse phase space. This contribution sees the use of experimental data to calculate the 4D transfer map for EMMA at several different momenta, and a comparison made with maps produced through simulation.
 
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-TUPRO075  
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