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Aaron Axford
Technical StudentCERN, Geneva
Nottingham Trent University
Pyheadtail Comparison and Development
Thanks to:Giovanni Iadarola,Giovanni Rumolo,Kevin LiMichael Schenk
●Pyheadtail Overview
●Simulation Parameters
●Current Pyheadtail results compared with Headtail
●Comparison of Varying number of kicks
●Comparison of Varying Dt_ref
●Comparison of changing magnetic field
●Analysis of repeat simulations
Contents
Differences for Pyheadtail from Headtail
● Presence of the chamber (Shape of the initial ecloud and an electromagnetic boundary)– Losses need to be implemented in order to
avoid unphysical motion of large amplitude electrons
● Magnetic field– For PyHDTL, B = 0.1T– For HDTL, H motion is frozen
Current Pyheadtail results compared to Headtail
Aims● Show that the Pyheadtail model results are
comparable to Headtail
Simulation ParametersQ26 Optics
Parameter Value
Intensity 1.5e11 ppb
Chamber Dimensions (MBB)
Chamber Dimensions (Drift)
X_aper = 6.5e-2mY_aper = 2.4e-2mX_aper = 2.8e-2mY_aper = 2.8e-2m
B_multip 1.2133e-1 Tesla
Ring Circumference 6911m
Synchrotron tune 0.059
Betatron tune (Horizontal) 26.13
Betatron tune (Vertical) 26.18
Rf voltage 2e6 V
Dh_sc 0.2e-3
Simulation ParametersQ20 Optics
Parameter Value
Intensity 1.5e11 ppb
Chamber Dimensions (MBB)
Chamber Dimensions (Drift)
X_aper = 6.5e-2mY_aper = 2.4e-2mX_aper = 2.8e-2mY_aper = 2.8e-2m
B_multip 1.2133e-1 Tesla
Ring Circumference 6911m
Synchrotron tune 0.017
Betatron tune (Horizontal) 20.13
Betatron tune (Vertical) 20.18
Rf voltage 5.75e6 V
Dh_sc 0.2e-3
Pyheadtail (Top) vs Headtail (Bottom)
Instability thresholdPyHDTL ≈ 4.2e11HDTL ≈ 3.6e11
Pyheadtail (Top) vs Headtail (Bottom)
Pyheadtail (Top) vs Headtail (Bottom)
Instability thresholdPyHDTL ≈ 3.1e11HDTL ≈ 3.2e11
Pyheadtail (Top) vs Headtail (Bottom)
Comparison of varying Number of kicks
Aims● Look for the effect of the number of kicks
simulated on the vertical motion and emittance– Check for any benefit using prime numbers
Comparison of varying Number of kicks
Comparison of varying Number of kicks
Comparison of varying Dt_ref
Comparison of varying Dt_ref
Comparison of varying Dt_ref
Comparison of varying Dt_ref
Comparison of varying Dt_ref
Number of kicks against Computation Time
Comparison of varying Bo
Aims● Observe the outcome when using a Magnetic
field varying from 0.1Tesla to 1.9 Tesla
Comparison of varying magnetic field
Comparison of Repeated reading
Aims● Observe the difference with identical
simulations repeated
Comparison of Repeated reading
Comparison of Repeated reading
Strongly affected by the random number generator
Summary
● PyHDTL shows a strong reliability with comparison to HDTL results for all tested optics and setups
● More investigation needed for varying of repeated simulations
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