simulations of the sps kickers with cst particle studio
DESCRIPTION
Simulations of the SPS kickers with CST Particle Studio. C. Zannini , E. Métral , G. Rumolo, B. Salvant. Thanks to: L. Haenichen , W. Mueller, TU Darmstadt. Overview. Objectives Simulations and comparison with theory Conclusions Future Plans - PowerPoint PPT PresentationTRANSCRIPT
Simulations of the SPS kickers with CST Particle Studio
C. Zannini,E. Métral, G. Rumolo, B. Salvant
Thanks to:L. Haenichen, W. Mueller, TU Darmstadt
Overview• Objectives
• Simulations and comparison with theory
• Conclusions
• Future Plans
• Appendix (back up slides, if needed and time permitting)
2
Objectives
• To simulate the simple model (Tsutsui): longitudinal and transverse wake separating dipolar and quadrupolar terms.
Overview• Objectives
• Simulations and comparison with theory
• Conclusions
• Future Plans
• Appendix (back up slides, if needed and time permitting)
4
SPS MKE kickers analyzed
Fit used for the ferrite'''* jrr 0
Fit used for the ferrite'''* jrr 0
'
''
Model used (Tsutsui)
L
Longitudinal Impedance
Theory from Tsutsui L=1mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=8cmSimulated length=0.2m
s
Gaussian bunch used for the excitation
Longitudinal Impedance
Theory from Tsutsui L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=10cmSimulated length=1m
Longitudinal Impedance
Theory from Tsutsui L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=2cmSimulated length=1m
Vertical driving ImpedanceL=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=10cmSimulated length=1.66m
Horizontal driving ImpedanceL=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=10cmSimulated length=0.2m
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
s(cm)
W[V/pC]
Wake Potential
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
s(cm)
W[V/pC]
Wake Potential
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
s(cm)
W[V/pC]
Wake Potential
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
s(cm)
W[V/pC]
Wake Potential
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
Vertical driving and detuning impedance
Frequency(GHz)
Z[Ω/m]
σ=10cmSimulated length=1.66m
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
Horizontal driving and detuning impedance
Frequency(GHz)
Z[Ω/m]
σ=10cmSimulated length=1m
Vertical Impedance
All terms are simulated
)()()( sZsZsZ detuningy
drivingy
generaly
Frequency(GHz)
Z[Ω/m]
Horizontal Impedance
)()()( sZsZsZ detuningx
drivingx
generalx
All terms are simulated
Frequency(GHz)
Z[Ω/m]
Courtesy M. Barnes
Overview• Objectives
• Simulations and comparison with theory
• Conclusions
• Future Plans
• Appendix (back up slides, if needed and time permitting)
23
Conclusion
• The simulations exhibit very good agreement with theory for long bunches (8-10cm). However, to use the wake field data as an input for HEADTAIL, we need to investigate a larger frequency range. Therefore, we have to do simulations with decreased bunch length.
• When we decrease the bunch length, we need a very dense mesh, sometimes incompatible with our present memory resources. A compromise has to be found between the computing capacity and the requirements for HEADTAIL
• The dispersion model of the ferrite is less accurate, because we use always the same number of points to fit the model
Overview• Objectives
• Simulations and comparison with theory
• Conclusions
• Future Plans
• Appendix (back up slides, if needed and time permitting)
25
Future plans
• To simulate the kickers of SPS (driving and detuning terms) using a shorter bunch (1-2cm) and to feed the results into HEADTAIL.
Comparison between simulations with different bunch lengths
Frequency(GHz)
Z[Ω/m]
Vertical Impedance: comparison with the theory for short bunches
σ=1.5cmSimulated length=1m
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
Due to the mesh, which is not dense enough, maybe issue with the imaginary part ?
Vertical Impedance: comparison with the theory with an even shorter bunch (pushing the performance of Particle Studio
with our present hardware resources)
σ=1.1cmSimulated length=0.8m
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
• The theory is obtained using infinite length. Therefore the comparison between theory and simulations is meaningful if the results are linear with the length. The linearity with L (kicker length) should be true when the penetration depth is much smaller than the length (this is the case of conductive material). In the case of ferrite, the penetration depth δ is much larger and the linearity may not be verified.
Effect of finite length of the kicker
1L
fr
s 503
2
Simulations with different kicker lengths: differences are due to an effect of finite length or numerical error?
Vertical Impedance
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
Frequency(GHz)
Z[Ω/m]
20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0140000
150000
160000
170000
180000
190000
200000
210000
Real Vertical Impedance
f=800MHz
Z[/
m]
L(cm)
Simulations with different kicker lengths: differences are due to an effect of finite length or numerical error?
0.0 20.0 40.0 60.0 80.0 100.0 120.0 140.0 160.0 180.0
300000
310000
320000
330000
340000
350000
360000
370000
Imaginary Vertical Impedance
f=500MHz
Z[/
m]
L(cm)
Simulations with different kicker lengths: differences are due to an effect of finite length or numerical error?
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=10cmSimulated length=0.2m
Is the simulation wrong or the theory is not valid?
Simulations with different kicker lengths: differences are due to an effect of finite length or numerical error?
Appendix
Other models of simulation
Model (Tsutsui and Zotter)
Model1Model1r
Model2
Model1
Transverse impedance using Tsutsui model 1: comparison with the theory
Theory: Elias&Benoit L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=10cmSimulated length=0.2m
Transverse impedance using Tsutsui model 1: comparison with the theory
L=1.66mb=0.016md=0.076ma=0.0675mFerrite 4A4
σ=10cmSimulated length=1.0m
Theory: Elias&Benoit
Form Factor between circular and rectangular model
• By the theory between a circular pipe and a rectangular pipe there is only a form factor.
Comparing circular and rectangular model
Comparing two different rectangular models
There is a good agreement for the vertical driving
Frequency(GHz)
Z[Ω/m]
Frequency(GHz)
Z[Ω/m]
Comparing two different rectangular models
The ration between the circular and rectangular structure is not simply the Yokoya factor, like for purely conductive walls.
Comparing circular and rectangular model