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