Aaron Axford Technical Student CERN, Geneva Nottingham Trent University Pyheadtail Comparison and...
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![Page 1: Aaron Axford Technical Student CERN, Geneva Nottingham Trent University Pyheadtail Comparison and Development Thanks to: Giovanni Iadarola, Giovanni Rumolo,](https://reader033.fdocuments.net/reader033/viewer/2022052701/56649d6e5503460f94a4f097/html5/thumbnails/1.jpg)
Aaron Axford
Technical StudentCERN, Geneva
Nottingham Trent University
Pyheadtail Comparison and Development
Thanks to:Giovanni Iadarola,Giovanni Rumolo,Kevin LiMichael Schenk
![Page 2: Aaron Axford Technical Student CERN, Geneva Nottingham Trent University Pyheadtail Comparison and Development Thanks to: Giovanni Iadarola, Giovanni Rumolo,](https://reader033.fdocuments.net/reader033/viewer/2022052701/56649d6e5503460f94a4f097/html5/thumbnails/2.jpg)
●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
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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
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Current Pyheadtail results compared to Headtail
Aims● Show that the Pyheadtail model results are
comparable to Headtail
![Page 5: Aaron Axford Technical Student CERN, Geneva Nottingham Trent University Pyheadtail Comparison and Development Thanks to: Giovanni Iadarola, Giovanni Rumolo,](https://reader033.fdocuments.net/reader033/viewer/2022052701/56649d6e5503460f94a4f097/html5/thumbnails/5.jpg)
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
![Page 6: Aaron Axford Technical Student CERN, Geneva Nottingham Trent University Pyheadtail Comparison and Development Thanks to: Giovanni Iadarola, Giovanni Rumolo,](https://reader033.fdocuments.net/reader033/viewer/2022052701/56649d6e5503460f94a4f097/html5/thumbnails/6.jpg)
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
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Pyheadtail (Top) vs Headtail (Bottom)
Instability thresholdPyHDTL ≈ 4.2e11HDTL ≈ 3.6e11
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Pyheadtail (Top) vs Headtail (Bottom)
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Pyheadtail (Top) vs Headtail (Bottom)
Instability thresholdPyHDTL ≈ 3.1e11HDTL ≈ 3.2e11
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Pyheadtail (Top) vs Headtail (Bottom)
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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
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Comparison of varying Number of kicks
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Comparison of varying Number of kicks
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Comparison of varying Dt_ref
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Comparison of varying Dt_ref
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Comparison of varying Dt_ref
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Comparison of varying Dt_ref
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Comparison of varying Dt_ref
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Number of kicks against Computation Time
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Comparison of varying Bo
Aims● Observe the outcome when using a Magnetic
field varying from 0.1Tesla to 1.9 Tesla
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Comparison of varying magnetic field
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Comparison of Repeated reading
Aims● Observe the difference with identical
simulations repeated
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Comparison of Repeated reading
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Comparison of Repeated reading
Strongly affected by the random number generator
![Page 25: Aaron Axford Technical Student CERN, Geneva Nottingham Trent University Pyheadtail Comparison and Development Thanks to: Giovanni Iadarola, Giovanni Rumolo,](https://reader033.fdocuments.net/reader033/viewer/2022052701/56649d6e5503460f94a4f097/html5/thumbnails/25.jpg)
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