. . . . . . . . . . .. . . . . . . . . . .. . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fourier Series Pulse Compression Damping Ring Kicker: another Progress Report . . . George Gollin University of Illinois at Urbana-Champaign . . . . ..

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Transcript . . . . . . . . . . .. . . . . . . . . . .. . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fourier Series Pulse Compression Damping Ring Kicker: another Progress Report . . . George Gollin University of Illinois at Urbana-Champaign . . . . ..

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Fourier Series Pulse Compression
Damping Ring Kicker:
another Progress Report
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George Gollin
University of Illinois at Urbana-Champaign
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George Gollin, Damping ring kicker report, March 9, 2005
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Perhaps larger (but less precise) impulse at injection, smaller (but more
precise) impulse at extraction will be desirable.
Small ring kicker rise, fall times can be asymmetric:
• leading edge < 6 ns, trailing edge < 60 ns
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Dog
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TDR)
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. G-m (2 keV/c)
• impulse:
100 G-m (3 MeV/c)
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• residual (off)
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• rise/fall time: < 20 ns
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Combine this. with a pulse compression system
to drive a small number
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of low-Q cavities.
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Illinois, Fermilab, Cornell are involved.
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. of its .
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Instead
of a. pulsed
kicker,
construct
a kicking
pulse... from a sum
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Fourier
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Fourier series pulse compression
kicker
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Joe Calvey
Michael Davidsaver
Justin Phillips
George Gollin
Mike Haney
Jeremy Williams
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Univ. Illinois
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Shekhar Mishra
François Ostiguy
Ralph Pasquinelli
Phillipe Piot
John Reid
Vladimir Shiltsev
Nikolay Solyak
Ding Sun
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Tug Arkan
Euvgene Borissov
Harry Carter
Brian Chase
David Finley
Chris Jensen
Timergali Khabiboulline
George Krafczyk
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Fermilab
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Physics
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Gerry Dugan
Joe Rogers
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Cornell
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This
Linear.
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Initial
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MeV
e.-) .for
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studies:
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1. concept and design studies of FSPC kicker
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2. build a fast, simple strip line kicker
3. use the stripline kicker to study the timing/stability
properties of the A0 beam
4. build a single-module pulse compression kicker
5. study its behavior at A0
6. perform more detailed studies in a higher energy, low
emittance beam (ATF??)
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Right
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and RF. engineering
discussions…
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…and writing it. up so it is. clearly
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. are calculable
Start with. a. simple
kicker
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properties
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timing stability with the A0 beam?
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flanges
beam pipe
BPM
beam pipe
BPM
BPM
stainless steel
pipe
BPM
conducting rods
Fermilab just finished building this. Install next month (April, 2005).
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George Gollin, Damping ring kicker report, March 9, 2005
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…and building
a stripline
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last spring.
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EOI submitted
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Space in beamline will be available ~January 2005
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George Gollin, Damping ring kicker report, March 9, 2005
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16 MeV electron
beam,
good
spot
size,. emittance.
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Test it in the FNAL A0 photoinjector
beam
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Modeling strategy is to study the consequences of:
• drifts in parameter values (e.g. Q of RF cavity)
• noise in RF power amplifier output signal
• nonlinearities: harmonic and intermodulation distortion
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• Waveguide
• RF amplifier
• Arbitrary function generator
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Functional
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Performance
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A(0)
(100 ± .07) Gauss-meters
Desired off field integral
A(t)
(0 ± .07) Gauss-meters
fDR / fL
N
60
fRF / fDR
G
GN
10.25
dB or tB
±6 mm ~ ±20 ps
☺
Impeccable
Karma
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Physics
P
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Nothing has been optimized yet!
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Bunch length
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George Gollin, Damping ring kicker report, March 9, 2005
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Desired on field integral
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1300 MHz
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fcutoff
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Waveguide cutoff frequency
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25
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Q
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RF structure Q
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RF structure center frequency
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fL . (wL ≡. 2p fL)
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fDR (.wDR ≡ 2p fDR)
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fRF (wRF ≡ 2p fRF)
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Damping ring bunch
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frequency
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Main linac
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• Q = 25
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Kick error caused by deviations in Q for the center, head, and
tail of the kicked and first two unkicked bunches. Full vertical
scale corresponds to 0.07 Gauss-meters (2.1 keV/c).
Physics
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Kick error as a function of cavity center frequency error for
kicked, first unkicked, and second unkicked bunches .
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~0.1
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Differences between delivered kicks and an ideal impulse
for waveguides that are 5 mm, 10 mm, 15 mm, 20 mm,
and 25 mm too long. The peaks in the kicks have been
shifted in time to align with the peak in the ideal impulse
that is centered at t = 0. In addition, the delivered kicks
have been rescaled to have the same magnitude as the .......
. . .
ideal impulse.
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Two
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contributions
. . to
. .
problems:
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1. change in
flight time
.
down the waveguide
2. relative phases of
Fourier components
are misaligned
#1 dominates.
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Waveguide length error
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George Gollin, Damping ring kicker report, March 9, 2005
.. .
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Effects of cutoff frequency errors. The curves represent the
difference between delivered and ideal impulses as functions
of time after aligning the time of the peaks and rescaling the
peak amplitudes. Full scale in the plot is 100 ps. Nominal
fcutoff is 1.3 GHz. Errors in cutoff frequency for individual
....
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curves are indicated on the plot.
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Correcting for time .
misalignment and change
in overall pulse size
helps considerably.
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Effects of an amplifier gain error that grows linearly with
frequency. The curves represent the difference between
delivered and ideal impulses as functions of time. The time
region in the plot is centered on the arrival time of the kicked
bunch.
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For now, look
at a
.
linearly increasing
error as a function
of frequency…
Physics
P
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Amplifier gain error.
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Effects of an amplifier phase error that grows linearly with frequency. The curves
represent the difference between delivered and ideal impulses as functions of time. The
time region in the plot is centered on the arrival time of the kicked bunch. Full
(horizontal) scale is 100 ps. The impulse functions have been shifted in time to align .......
. . .
. .. .
the kicking peaks at t = 0 and rescaled to agree in amplitude with the nominal kick
.
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George Gollin, Damping ring kicker report, March 9, 2005
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Physics
P
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20
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Use a linearly
increasing
error. .as a function
of frequency
here
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Amplifier phase error.
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George Gollin, Damping ring kicker report, March 9, 2005
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Model
as flat
from. 300
to 6 GHz
is
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. in frequency,
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-4 GHz.-1/2 . .
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insensitive
to . frequencies
far
from
center
frequency…
10
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Amplifier noise…
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George Gollin, Damping ring kicker report, March 9, 2005
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Physics
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random phases.
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Generate
in. 300
kHz . frequency
bins,
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More. work is needed… . .
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George Gollin, Damping ring kicker report, March 9, 2005
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Physics
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. are. done. Now working
.
Initial. .harmonic .distortion studies
on
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.
intermodulation
distortion
. simulation.
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23
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Nonlinear effects: harmonic and intermodulation
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distortion
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b n  2
.
d
A
,
w


n.  1
1
0 n  2
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George Gollin, Damping ring kicker report, March 9, 2005
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I
Physics
P
llinois
aA n  2
An  A1 , w1    1
 0 n2
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dn  d
A ,w .
. n  1 1.
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An  An  A1 , w1 
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and
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. .n 
A1. cos w1t  . 1  .  An cos
.  .nw1t  1  d
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Harmonic distortion.
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
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. distortion: third-order
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.
Intermodulation
. effects are most likely to be. the
. .
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.
most. important. Under
way…
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George Gollin, Damping ring kicker report, March 9, 2005
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Physics
P
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Intermodulation distortion
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Building
a
stripline
kicker
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Looking inside the kicker
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Installation in A0: mid-April.
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Kicker is now
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UIUC students in A0.
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. data
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Our. plan is to generate
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to test tools
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We bought a new computer:
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analysis
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We
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Chris
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HV pulser: ±750
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35
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Physics
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Gerry Dugan
is ordering a FID
pulser:
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. ±1. kV
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•
Maximum
output
into
50
Ohm:
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• Amplitude
.stability in burst mode 0.3 –. 0.5%
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• Pre- and after-pulses 0.3 – 0.5%
• Rise time 10-90% of amplitude 0.6 – 0.7 ns
• Pulse duration at 90% of Umax 2 – 2.5 ns
• Fall time 90-10% of amplitude 1 – 1.5 ns
• Maximum PRF in burst mode 3 MHz
• Maximum PRF in continuous mode 15 kHz
• Timing jitter, both output pulses vs. trigger 20 ps,
max
• Power 110/220VAC, 50/60 Hz
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Fermilab RF
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UIUC HEP electronics design group’s chief is too.
So we’re making progress.
Goals:
• install strip line kicker in A0 during April, 2005
• understand A0 by summer, 2005
• investigate small pulse compression system during summer, 2005
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George Gollin, Damping ring kicker report, March 9, 2005
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Physics
P
llinois
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Design, then
build
one
module
components.
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UIUC/FNAL,
longer
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