Collimator Wakefields

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Collimator Wakefields

• Igor Zagorodnov
• BDGM, DESY
• 25.09.06

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Codes
References

• ECHO
• CST MS
• ABCI
• MAFIA
• GdfidL
• VORPAL
• PBCI
• Tau3P

Used by me

• K. Yokoya, CERN-SL/90-88, 1990
• F.-J.Decker et al., SLAC-PUB-7261, 1996
• G.V. Stupakov, SLAC-PUB-8857, 2001
• P. Tenenbaum et al, PAC01, 2001
• B. Podobedov, S. Krinsky, EPAC06, 2006
• I. Zagorodnov, K.L.F. Bane, EPAC06, 2006
• K.L.F. Bane, I.A. Zagorodnov, SLAC-PUB-11388,
  2006
• I. Zagorodnov et al, PAC03, 2003
• and others

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Outline

• Round collimators
• Inductive regime
• Diffractive regime
• Near wall wakefields
• Resistive wakefields
• 3D collimators (rectangular, elliptical)
• Diffractive regime
• Inductive regime
• Simulation of SLAC experiments
• XFEL collimators
• Effect of tapering and form optimization
• Kick dependence on collimator length

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Effect of the kick
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Round collimator. Inductive
Inductive
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Round collimator. Inductive
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Round collimator. Diffractive
Figure 2Kick factor vs. collimator length. A
round collimator (left), a square or rectangular
collimator (s 0.3 mm, right).
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Round collimator
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Round collimator. Resistive wall wakes
Analytical estimations are available. To be
studied. Can the total wake be treated as the
direct sum of the geometric and the resistive
wakes? Numerical modeling is required. Discrepanc
y between analytical estimations and
measurements. Transverse geometric kick for long
collimator is approx. two times larger as for the
short one.
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3D collimators. Regimes
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3D collimators. Regimes
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3D Collimators. Diffractive Regime
S.Heifets and S.Kheifets, Rev Mod Phys 63,631
(1991) I. Zagorodnov, K.L.F. Bane, EPAC06, 2006
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3D collimators. Diffractive Regime
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3D collimators. Inductive Regime
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3D collimators. Inductive Regime
ECHO
GdfidL
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3D collimators. Inductive Regime
ECHO
GdfidL
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3D collimators. Inductive Regime
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3D collimators. Inductive Regime
Dipolar
Quadrupolar
I estimate that error in this numbers is about 5
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Simulations of SLAC experiment 2001
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Simulations of SLAC experiment 2001
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XFEL collimators. Tapering
Inductive
When a short bunch passes by an out-transition, a
significan reduction in the wake will not happen
until the tapered walls cut into the cone of
radiation, i.e until
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XFEL collimators. Tapering
Geometry of the steptaper collimator for TTF2
Collimator geometry optimization. Optimum d
4.5mm
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XFEL collimators. Tapering
Geometry of the steptaper absorber for XFEL
Loss, V/pC Spread, V/pC Peak, V/pC
step 110 43 -156
taper 20mm 38 42 -83
taper 20mm step 50 (45) 29 (67) -82 (53)
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Acknowledgements to K. Bane, M. Dohlus, B.
Podobedov G. Stupakov, T. Weiland for helpful
discussions on wakes and impedances, and to CST
GmbH for letting me use CST MICROWAVE STUDIO for
the meshing.
Click here to see a movie