quadrupole pick-ups at cern & fermilab
DESCRIPTION
Quadrupole Pick-Ups at CERN & Fermilab. Jansson FNAL. Talk outline. The quad pick-ups in the CERN PS The quad pick-up in the Fermilab AA Possibilities for LHC (and Tevatron). A pick-up sensitive to the r.m.s. beam size. - PowerPoint PPT PresentationTRANSCRIPT
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Quadrupole Pick-Ups at CERN & FermilabQuadrupole Pick-Ups at CERN & Fermilab
A. Jansson FNAL
Andreas Jansson, US-LARP meeting, May 9, 2003 2
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Talk outline Talk outline
The quad pick-ups in the CERN PS
The quad pick-up in the Fermilab AA
Possibilities for LHC (and Tevatron)
Andreas Jansson, US-LARP meeting, May 9, 2003 3
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What is a quadrupole pick-up?
What is a quadrupole pick-up?
A pick-up sensitive to the r.m.s. beam size.
Uses the small non-linear terms in electrode response to particle position to measure quadrupole moment.
Quadrupole moment is a measure of ellipticity.
Beam
Pick-up seen along beam path
A
BD
C
Vacuum chamber
position horizontalDCBA
DB
x
moment quadrupoleDCBA
C)(A-D)(B 2222x
yxy
Andreas Jansson, US-LARP meeting, May 9, 2003 4
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PS pick-upsPS pick-ups
Induction loop
Pick-up seen along beam path
A
BC
D
Flux lineBeam
Magnetic coupling. Insensitive to radiation Signal on 50
Intensity signal is suppressed by pick-up geometry (coupling to the radial field component).
Bandwidth ~25 MHz (covers full bunch spectrum at injection)
Two pick-ups installed in machine.
Andreas Jansson, US-LARP meeting, May 9, 2003 5
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0
20
40
60
80
100
120
140
Number of machine revolutions
Qu
ad
rup
ole
mo
me
nt
(mm
^2
)
QPU4
QPU3
Beam: EASTBDate: March 28, 2001
Ouput signals (Time Domain)
Ouput signals (Time Domain)
Oscillations give information about mismatch
DC value give information about emittance
(Data corrected for beam position)
Andreas Jansson, US-LARP meeting, May 9, 2003 6
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Output signals (Frequency Domain)
Output signals (Frequency Domain)
Peaks are wide due to fast decoherence (caused by space charge tune spread).
Working point in PS machine often make signals overlap in frequency domain.
Need two pick-ups in optically different locations to separate H/V quad signal components! 0
0.05
0.11
0.16
0.22
0.27
0.33
0.38
0.44
0.49
0.55 0.6
0.66
0.71
0.77
0.82
0.88
0.93
0.99
Frequency (tune)
Sig
na
l po
we
r Qh Qv
2Qh 2Qv
Andreas Jansson, US-LARP meeting, May 9, 2003 7
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Position contribution to quad moment
Position contribution to quad moment
Data with only beam position oscillations (taken after filamentation).
Quadrupole moment versus its expected position contribution x2-y2 should be straight line with unit slope, as obesrved.
The position contribution can be subtracted with good accuracy!
y = 0.9699x - 3.8003
-20
-15
-10
-5
0
5
10
15
20
-20 -10 0 10 20
Position contribution (mm^2)
Qu
ad
rup
ole
mo
men
t (m
m^2
)
Andreas Jansson, US-LARP meeting, May 9, 2003 8
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Comparison with Wire Scanners
Comparison with Wire Scanners
Comparison Quad PU vs. Wire-scanner on stable beam.
Several different beam types.
Systematic error bar from: Beta function ~10% Dispersion ~10% Mom. spread ~3%
QPU3
0
20
40
60
80
100
120
140
160
180
0 20 40 60 80 100 120 140 160 180
WS + tom oscope [m m 2]
QP
[m
m2]
SFTPROEASTBEASTCADLHCEASTAlab meas
QPU4
-20
0
20
40
60
80
-20 0 20 40 60 80WS +tom oscope [m m 2]
QP
[m
m2]
Andreas Jansson, US-LARP meeting, May 9, 2003 9
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)(
)()(
2
2
2
222
22
22
yxx
x
yx
q
y
q
x
q
xxp
q
yyy
q
xxx
yx
DDDDD
0
10
20
30
40
50
60
-1 1 3 5 7 9
Turn
Qu
adru
po
le m
om
ent
[mm
2]
10 free parameters, 20 data points
Measurement of matchingMeasurement of matching
Simultaneous fit to the two pick-up signals gives: Injected emittances. Betatron mismatches. Horizontal dispersion
mismatch.
“Best fit” tunes gives information on space charge.
Fixed tune give wrong fit results for matching parameters.
Andreas Jansson, US-LARP meeting, May 9, 2003 10
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Injection matching measurement
Injection matching measurement Betatron mismatch
Dispersion mismatch
k
'D
D
D
kD
Emittance
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
Horizontal
Ve
rtic
al
Reference
QNO40 -10A
QNO40 -20A
Horizontal Matching
-0.5
0
0.5
-0.5 0 0.5
db/b
a d
b/b
-d
a
Vertical Matching
-0.5
0
0.5
-0.5 0 0.5
db/b
a d
b/b
-d
a
Dispersion Matching
-0.5
0
0.5
-0.5 0 0.5
dD/b^1/2
a d
D/s
qrt
(b)
+ d
D' s
qrt
(b)
Andreas Jansson, US-LARP meeting, May 9, 2003 11
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Measurement of filamented emittance
Measurement of filamented emittance For a stable beam, the
emittance can be calculated from only two pick-up readings.
22yx
0
0.5
1
1.5
2
2.5
QPU 3/4 WS H54 WS H64
Em
ittan
ce (u
m)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
QPU 3/4 WS V65
Em
itta
nce
(u
m)
Horizontal
Vertical
Wire-scanners
Quad PUs
Statistical error
22
2222
21
2111
xpyyxx
xpyyxx
D
D
Different horizontal/vertical beta function ratios at the two pick-ups are required.
Signal noise can be reduced by averaging over many turns.
Andreas Jansson, US-LARP meeting, May 9, 2003 12
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Measurements within the bunch
Measurements within the bunch
Normalized for intensity in each point separately.
Variation in quad moment along bunch mainly due to dispersion and momentum spread.
QPU4
-30
-20
-10
0
10
20
30
-150 -50 50 150
time [ns]
qu
ad
mo
me
nt
[mm
2]
QPU3
50
60
70
80
90
100
110
-150 -50 50 150
time [ns]
qu
ad m
om
ent
[mm
2]
raw data
corrected for dispersionBunch shape
-150 -50 50 150
time [ns]
curr
ent
Momentum spread
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
-150 -50 50 150
time [ns]
mo
m.
spre
ad 1
e-3
Andreas Jansson, US-LARP meeting, May 9, 2003 13
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Fermi Pbar Accumulator Q-pickup
Fermi Pbar Accumulator Q-pickup
Un-terminated strip-line. Motors to center pickup on beam. LP preamps (only 1st harmonic) in
tunnel. Can inject calibration signal to
balance preamps. No hybrid used. Plate signals
sampled directly on 14 bit ADCs at up to 10 MHz (16x per revolution).
Injected beam is a train of typically 7-35 bunches at 53 MHz (1/12-5/12 of the circumference).
Ref: Vladimir Nagaslaev
Andreas Jansson, US-LARP meeting, May 9, 2003 14
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Lessons from beam measurements
Lessons from beam measurements Initial transient signal due to
intensity step and limited bandwidth.
Beam loss on electrodes at injection.
Fast decoherence due to large chromaticity at extraction orbit.
This makes it hard to interpret data from parasitic measurements
With lowered chromaticity (dedicated measurements) performance is adequate.
Ref: Vladimir Nagaslaev
Andreas Jansson, US-LARP meeting, May 9, 2003 15
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Measurements with low chromaticity
Measurements with low chromaticity
Ref: Vladimir Nagaslaev
Time domain data fits the model
Frequency componenets
behave as expected when
changing steering and
matching
Andreas Jansson, US-LARP meeting, May 9, 2003 16
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Quad pick-ups in the LHC?Quad pick-ups in the LHC? Are they wanted/needed? What is the time resolution required?
Single turn (BW=frev) is the minimum, and may be adequate e.g. for dedicated measurements (pilot bunch?). Relatively straight-forward to build.
Single bunch (BW=frep) is desirable e.g. for parasitic measurements during normal operation. Requires some R&D.
Intra-bunch resolution (BW=1/tbunch) helpful to diagnose e.g. head-tail motion, but may not be needed if beam is properly set up. May be difficult to achieve for LHC (~GHz).
The better the time resolution, the easier it is to understand what’s going on (less dependent on assumptions).
Andreas Jansson, US-LARP meeting, May 9, 2003 17
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How build a wideband quad pick-up?
How build a wideband quad pick-up?
The PS pick-up’s common mode rejection is limited at high frequencies by resonances in the magnetic induction loop.
Reducing the loop dimensions could perhaps gain a factor 3-4 in frequency, but also reduces coupling.
Removing the resonances require breaking the loop and adding matched terminations strip-lines.
With a good WB hybrid, can get >60dB CMRR over ~200 MHz bandwidth (see CERN PS/BD Note 99-09).
Andreas Jansson, US-LARP meeting, May 9, 2003 18
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Wide-band hybrid couplerWide-band hybrid coupler
Four-decade hybrid,J.M. Belleman,CERNPS/BD/Note 99-09
60dB
200 MHz
Andreas Jansson, US-LARP meeting, May 9, 2003 19
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SummarySummary In the PS:
Betatron mismatch of a few percent could be detected (both amplitude and phase).
Emittance was measured, in rather good agreement with wire-scanners.
In the Fermi pbar accumulator:Clean signals (mismatch) obtained in dedicated studies.Difficult to interpret parasitic measurements.
For the LHC:Single turn (narrow band) should be straight-forward.Single bunch (wide band) needs some work, but seems
possible using e.g. stripline couplers and WB hybrids.Tevatron could act as test-bench and benefit from LHC
design work.