Space based Gravitational Wave Observations II - M Hewitson
1. Albert Einstein Institute
Max Planck Institute for Gravitational Physics and
Leibniz Universität Hannover
Space based
Gravitational Wave
Observations
LISA and its pathfinder
M Hewitson
Institut für Gravitationsphysik
der Leibniz Universität
Hannover
SIGRAV
May 2018
2. M Hewitson, LISA Detector, SIGRAV, May 2018
Does that work?
• We aim for a strain sensitivity of around
• That means we need to measure distance
changes around
• But frequency noise is around
2
h =
L
L
= 10 20 1
p
Hz<latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit><latexit sha1_base64="LRJVirs4r2MaCzYtWnZGn1U3YHI=">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</latexit>
L =2.5 ⇥ 109
[m] ⇥ 10 20 1
p
Hz
=25
pm
p
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˜xfreq
=0.9
mm
p
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3. M Hewitson, LISA Detector, SIGRAV, May 2018
Cancelling frequency noise
• We need to do something to cancel the
frequency noise that’s introduced in the long-
arm interferometer
• Use a concept called Time Delay
Interferometery
3
4. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one arm
4
5. M Hewitson, LISA Detector, SIGRAV, May 2018
LISA measurements and TDI
• What follows next is vastly simplified, just to get
the idea across
• More detailed (correct) derivations are in:
• Otto, Time-Delay Interferometry Simulations for LISA,
PhD Thesis 2015
• Tinto & Dhurandhar, Time-Delay Interferometry,
Living Reviews, Dec 2005
• https://link.springer.com/article/10.12942/lrr-2005-4
5
6. M Hewitson, LISA Detector, SIGRAV, May 2018
All measurements and notation
• Each S/C contains
two optical benches
• X and X’
• Arms are labelled as
opposite vertex
6
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30
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7. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one S/C
7
8. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one S/C
7
9. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements in one S/C
7
11. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
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20
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s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
12. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
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20
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s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">AAACP3icdVBLSwMxGMz6tr6qHr18WHwhLlnXR3sQRD14EgVbhbYs2TTVYPZBkhXKsv/Mi3/Bm1cvHhTx6s1sW0FFPwhMZuYjmfFjwZXG+NEaGBwaHhkdGy9MTE5NzxRn52oqSiRlVRqJSF76RDHBQ1bVXAt2GUtGAl+wC//mMNcvbplUPArPdSdmzYBchbzNKdGG8oo15TmwtwzHngvr0AiIvqZEpEfZahp76eZKlq3BBsTGtPFTbRwxoUnW9eSW3t341uHEc7xiCdvYrTi7LmDb3XHLWzmoVMruNgbHxt0pof6cesWHRiuiScBCTQVRqu7gWDdTIjWngmWFRqJYTOgNuWJ1A0MSMNVMu/kzWDJMC9qRNCfU0GW/b6QkUKoT+MaZR1C/tZz8S6snul1upjyME81C2nuonQjQEeRlQotLRrXoGECo5OavQK+JJFSbygumhK+k8D+obdoOtp2zrdL+Qb+OMbSAFtEqctAu2kfH6BRVEUV36Am9oFfr3nq23qz3nnXA6u/Mox9jfXwCsmGrOA==</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
13. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
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20
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s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
14. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
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20
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s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
15. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
path-length
changes due to
motion of far
S/C (delayed)
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20
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16. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
path-length
changes due to
motion of far
S/C (delayed)
path-length
changes due to
motion of local
S/C
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20
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17. M Hewitson, LISA Detector, SIGRAV, May 2018
Measurements: Science Interferometer(s)
8
measured path-
length change due
to phase difference
between local laser
and received light
path-length
change due
to GW signal
path-length
change due to
phase noise of
far S/C (delayed)
path-length
change due
phase noise
in local S/C
path-length
changes due to
motion of far
S/C (delayed)
path-length
changes due to
motion of local
S/C
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20
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s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit>
Noise in IFO
readout, e.g.
shot noise