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Space based Gravitational Wave Observations II - M Hewitson

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Waves on the lake: the astrophysics behind gravitational waves
May 28 – June 1, 2018

Published in: Science
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Space based Gravitational Wave Observations II - M Hewitson

  1. 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. 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 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  3. 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. 4. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one arm 4
  5. 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. 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 H1<latexit sha1_base64="7NRPR5CnFc3ZdfNK+YZB2heg7xE=">AAAB6nicdVDLSgNBEOyNrxhfUY9eBoPgKezmQZJb0EuOEc0DkiXMTmaTIbOzy8ysEJZ8ghcPinj1i7z5N06SFVS0oKGo6qa7y4s4U9q2P6zMxubW9k52N7e3f3B4lD8+6aowloR2SMhD2fewopwJ2tFMc9qPJMWBx2nPm10v/d49lYqF4k7PI+oGeCKYzwjWRrptjZxRvmAX7Ua5VikjQ1YwpNGol+wqclKlACnao/z7cBySOKBCE46VGjh2pN0ES80Ip4vcMFY0wmSGJ3RgqMABVW6yOnWBLowyRn4oTQmNVur3iQQHSs0Dz3QGWE/Vb28p/uUNYu3X3YSJKNZUkPUiP+ZIh2j5NxozSYnmc0MwkczcisgUS0y0SSdnQvj6FP1PuqWiYxedm0qheZXGkYUzOIdLcKAGTWhBGzpAYAIP8ATPFrcerRfrdd2asdKZU/gB6+0TF82Nqw==</latexit><latexit 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  7. 7. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one S/C 7
  8. 8. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one S/C 7
  9. 9. M Hewitson, LISA Detector, SIGRAV, May 2018 Measurements in one S/C 7
  10. 10. 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sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit><latexit 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  11. 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 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit 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sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> 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=">AAACP3icdVBLSwMxGMz6tr6qHr18WHwhLlnXR3sQRD14EgVbhbYs2TTVYPZBkhXKsv/Mi3/Bm1cvHhTx6s1sW0FFPwhMZuYjmfFjwZXG+NEaGBwaHhkdGy9MTE5NzxRn52oqSiRlVRqJSF76RDHBQ1bVXAt2GUtGAl+wC//mMNcvbplUPArPdSdmzYBchbzNKdGG8oo15TmwtwzHngvr0AiIvqZEpEfZahp76eZKlq3BBsTGtPFTbRwxoUnW9eSW3t341uHEc7xiCdvYrTi7LmDb3XHLWzmoVMruNgbHxt0pof6cesWHRiuiScBCTQVRqu7gWDdTIjWngmWFRqJYTOgNuWJ1A0MSMNVMu/kzWDJMC9qRNCfU0GW/b6QkUKoT+MaZR1C/tZz8S6snul1upjyME81C2nuonQjQEeRlQotLRrXoGECo5OavQK+JJFSbygumhK+k8D+obdoOtp2zrdL+Qb+OMbSAFtEqctAu2kfH6BRVEUV36Am9oFfr3nq23qz3nnXA6u/Mox9jfXwCsmGrOA==</latexit><latexit sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">AAACP3icdVBLSwMxGMz6tr6qHr18WHwhLlnXR3sQRD14EgVbhbYs2TTVYPZBkhXKsv/Mi3/Bm1cvHhTx6s1sW0FFPwhMZuYjmfFjwZXG+NEaGBwaHhkdGy9MTE5NzxRn52oqSiRlVRqJSF76RDHBQ1bVXAt2GUtGAl+wC//mMNcvbplUPArPdSdmzYBchbzNKdGG8oo15TmwtwzHngvr0AiIvqZEpEfZahp76eZKlq3BBsTGtPFTbRwxoUnW9eSW3t341uHEc7xiCdvYrTi7LmDb3XHLWzmoVMruNgbHxt0pof6cesWHRiuiScBCTQVRqu7gWDdTIjWngmWFRqJYTOgNuWJ1A0MSMNVMu/kzWDJMC9qRNCfU0GW/b6QkUKoT+MaZR1C/tZz8S6snul1upjyME81C2nuonQjQEeRlQotLRrXoGECo5OavQK+JJFSbygumhK+k8D+obdoOtp2zrdL+Qb+OMbSAFtEqctAu2kfH6BRVEUV36Am9oFfr3nq23qz3nnXA6u/Mox9jfXwCsmGrOA==</latexit>
  12. 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 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit><latexit sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit 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  13. 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) 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit> 20 <latexit 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sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit 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  14. 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 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit 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  15. 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) 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit 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  16. 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 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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  17. 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 1<latexit sha1_base64="SJgsarrB945o4rH4friQAyi58C0=">AAAB6HicdVDLSgNBEOyNrxhfUY9eBoPgKezGSJJb0IvHBMwDkiXMTnqTMbMPZmaFEPIFXjwo4tVP8ubfOElWUNGChqKqm+4uLxZcadv+sDJr6xubW9nt3M7u3v5B/vCoraJEMmyxSESy61GFgofY0lwL7MYSaeAJ7HiT64XfuUepeBTe6mmMbkBHIfc5o9pITWeQL9hFu3ZRKV8QQ5YwpFarluxL4qRKAVI0Bvn3/jBiSYChZoIq1XPsWLszKjVnAue5fqIwpmxCR9gzNKQBKne2PHROzowyJH4kTYWaLNXvEzMaKDUNPNMZUD1Wv72F+JfXS7RfdWc8jBONIVst8hNBdEQWX5Mhl8i0mBpCmeTmVsLGVFKmTTY5E8LXp+R/0i4VHbvoNMuF+lUaRxZO4BTOwYEK1OEGGtACBggP8ATP1p31aL1Yr6vWjJXOHMMPWG+fz9qM8A==</latexit><latexit 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sha1_base64="/ufZDtoZPK+oO3cTZrlP+YmrlVs=">AAAB6XicdVBNS8NAEJ3Ur1o/WvXoZbGInkrSVtreil48VrEf0Iay2W7apZtN2N0IJfQfePGgiFf/kTf/jds2goo+GHi8N8PMPC/iTGnb/rAya+sbm1vZ7dzO7t5+vnBw2FFhLAltk5CHsudhRTkTtK2Z5rQXSYoDj9OuN71a+N17KhULxZ2eRdQN8FgwnxGsjXRbPhsWinbJblRq1QoyZAlDGo162b5ATqoUIUVrWHgfjEISB1RowrFSfceOtJtgqRnhdJ4bxIpGmEzxmPYNFTigyk2Wl87RqVFGyA+lKaHRUv0+keBAqVngmc4A64n67S3Ev7x+rP26mzARxZoKslrkxxzpEC3eRiMmKdF8ZggmkplbEZlgiYk24eRMCF+fov9Jp1xy7JJzUy02L9M4snAMJ3AODtSgCdfQgjYQ8OEBnuDZmlqP1ov1umrNWOnMEfyA9fYJMZ+NIg==</latexit> s1 =H3 + D(p20 ) p1 D( 20 ) 1 + N1<latexit 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sha1_base64="ko8Ce6N6ZqhbzeO5R7yh0enB/fM=">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</latexit> Noise in IFO readout, e.g. shot noise

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