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Sensor noise in LISA Pathfinder: Laser frequency noise and its coupling to the optical test mass readout

M. Armano1, H. Audley2,3, J. Baird4, P. Binetruy4,*, M. Born2,3, D. Bortoluzzi5, N. Brandt6, E. Castelli7, A. Cavalleri8 et al.

A. Cesarini9, A. M. Cruise10, K. Danzmann2,3, M. de Deus Silva11, I. Diepholz2,3, G. Dixon10, R. Dolesi7, L. Ferraioli12, V. Ferroni7, E. D. Fitzsimons13, R. Flatscher6, M. Freschi11, A. García14, R. Gerndt6, L. Gesa15,16,†, D. Giardini12, F. Gibert7,17, R. Giusteri2,3, C. Grimani9, J. Grzymisch1, F. Guzman18, I. Harrison19, M.-S. Hartig2,3, G. Hechenblaikner6, G. Heinzel2,3, M. Hewitson2,3, D. Hollington20, D. Hoyland10, M. Hueller7, H. Inchauspé4,§, O. Jennrich1, P. Jetzer21, U. Johann6, B. Johlander1, N. Karnesis4, B. Kaune2,3, C. J. Killow22, N. Korsakova4, J. A. Lobo15,16,‡, J. P. López-Zaragoza15, R. Maarschalkerweerd19, D. Mance12, V. Martín15,16, L. Martin-Polo11, F. Martin-Porqueras11, J. Martino4, P. W. McNamara1, J. Mendes19, L. Mendes11, N. Meshksar12, A. Monsky23, M. Nofrarias15, S. Paczkowski2,3,∥, M. Perreur-Lloyd22, A. Petiteau4, E. Plagnol4, J. Ramos-Castro24, J. Reiche2,3, F. Rivas25, D. I. Robertson22, G. Russano7,¶, J. Sanjuan26, J. Slutsky27, C. F. Sopuerta15, F. Steier23, T. Sumner20,26, D. Texier11, J. I. Thorpe27, D. Vetrugno7, S. Vitale7, V. Wand23, G. Wanner3,2, H. Ward22, P. J. Wass20,28, W. J. Weber7, L. Wissel2,3, A. Wittchen2,3, and P. Zweifel12

  • 1European Space Technology Centre, European Space Agency, Keplerlaan 1, 2200 AG Noordwijk, The Netherlands
  • 2Max Planck Institute for Gravitational Physics (Albert-Einstein-Institut), 30167 Hannover, Germany
  • 3Leibniz Universität Hannover, 30167 Hannover, Germany
  • 4Université Paris Cité, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France
  • 5Department of Industrial Engineering, University of Trento, via Sommarive 9, 38123 Trento, and Trento Institute for Fundamental Physics and Application/INFN
  • 6Airbus Defence and Space, Claude-Dornier-Strasse, 88090 Immenstaad, Germany
  • 7Dipartimento di Fisica, Università di Trento and Trento Institute for Fundamental Physics and Application/INFN, 38123 Povo, Trento, Italy
  • 8Istituto di Fotonica e Nanotecnologie, CNR-Fondazione Bruno Kessler, I-38123 Povo, Trento, Italy
  • 9DISPEA, Università di Urbino Carlo Bo, Via S. Chiara, 27 61029 Urbino/INFN, Italy
  • 10The School of Physics and Astronomy, University of Birmingham, Birmingham, United Kingdom
  • 11European Space Astronomy Centre, European Space Agency, Villanueva de la Cañada, 28692 Madrid, Spain
  • 12Institut für Geophysik, ETH Zürich, Sonneggstrasse 5, CH-8092, Zürich, Switzerland
  • 13The UK Astronomy Technology Centre, Royal Observatory, Edinburgh, Blackford Hill, Edinburgh EH9 3HJ, United Kingdom
  • 14City University of Applied Sciences, Flughafenallee 10, 28199 Bremen, Germany
  • 15Institut de Ciències de l’Espai (ICE, CSIC), Campus UAB, Carrer de Can Magrans s/n, 08193 Cerdanyola del Vallès, Spain
  • 16Institut d’Estudis Espacials de Catalunya (IEEC), C/ Gran Capità 2-4, 08034 Barcelona, Spain
  • 17isardSAT SL, Marie Curie 8-14, 08042 Barcelona, Catalonia, Spain
  • 18Texas A&M University, 701 H.R. Bright Bldg, College Station, Texas 77843-3141, USA
  • 19European Space Operations Centre, European Space Agency, 64293 Darmstadt, Germany
  • 20High Energy Physics Group, Physics Department, Imperial College London, Blackett Laboratory, Prince Consort Road, London SW7 2BW, United Kingdom
  • 21Physik Institut, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
  • 22SUPA, Institute for Gravitational Research, School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom
  • 23OHB System AG, Universitätsallee 27-29, 28359 Bremen, Germany
  • 24Department d’Enginyeria Electrònica, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain
  • 25Universidad Loyola, Departament of Quantitative Methods, Avenida de las Universidades s/n, 41704 Dos Hermanas, Sevilla, Spain
  • 26Department of Physics, 2001 Museum Road, University of Florida, Gainesville, Florida 32611, USA
  • 27Gravitational Astrophysics Lab, NASA Goddard Space Flight Center, 8800 Greenbelt Road, Greenbelt, Maryland 20771, USA
  • 28Department of Mechanical and Aerospace Engineering, MAE-A, P.O. Box 116250, University of Florida, Gainesville, Florida 32611, USA

  • *Deceased 30 March 2017
  • Deceased 29 May 2020
  • Deceased 30 September 2012
  • §Present address: Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany.
  • sarah.paczkowski@aei.mpg.de
  • Present address: INAF Osservatorio Astronomico di Capodimonte, I-80131 Napoli, Italy.

Phys. Rev. D 109, 042003 – Published 16 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.042003

Abstract

The LISA Pathfinder (LPF) mission successfully demonstrated the feasibility of the technology needed for the future space borne gravitational wave observatory LISA. A key subsystem under study was the laser interferometer, which measured the changes in relative distance in between two test masses (TMs). It achieved a sensitivity of 32.01.7+2.4fm/Hz, which was significantly better than the prelaunch tests. This improved performance allowed direct observation of the influence of laser frequency noise in the readout. The differences in optical path lengths between the measurement and reference beams in the individual interferometers of our setup determined the level of this undesired readout noise. Here, we discuss the dedicated experiments performed on LPF to measure these differences with high precision. We reached differences in path length difference between (368±5)μm and (329.6±0.9)μm which are significantly below the required level of 1 mm or 1000μm. These results are an important contribution to our understanding of the overall sensor performance. Moreover, we observed varying levels of laser frequency noise over the course of the mission. We provide evidence that these do not originate from the laser frequency stabilization scheme which worked as expected. Therefore, this frequency stabilization would be applicable to other missions with similar laser frequency stability requirements.

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References (40)

  1. LISA Science Team, LISA—Unveiling a hidden Universe, Technical Report, 2011, also available as http://sci.esa.int/science-e/www/object/doc.cfm?fobjectid=48363.
  2. P. Amaro-Seoane et al., Laser interferometer space antenna, arXiv:1702.00786.
  3. P. Amaro-Seoane et al., Astrophysics with the Laser Interferometer Space Antenna, Living Rev. Relativity 26, 2 (2023).
  4. M. Armano et al., Sub-Femto-g free fall for space-based gravitational wave observatories: LISA pathfinder results, Phys. Rev. Lett. 116, 231101 (2016).
  5. M. Armano et al., Beyond the required LISA free-fall performance: New LISA pathfinder results down to 20μHz, Phys. Rev. Lett. 120, 061101 (2018).
  6. M. Armano et al., Sensor noise in LISA pathfinder: In-flight performance of the optical test mass readout, Phys. Rev. Lett. 126, 131103 (2021).
  7. M. Armano et al., Sensor noise in LISA Pathfinder: An extensive in-flight review of the angular and longitudinal interferometric measurement system, Phys. Rev. D 106, 082001 (2022).
  8. H. Billing, K. Maischberger, A. Rudiger, R. Schilling, L. Schnupp, and W. Winkler, An argon laser interferometer for the detection of gravitational radiation, J. Phys. E 12, 1043 (1979).
  9. D. Robertson, C. Killow, H. Ward, J. Hough, G. Heinzel, A. Garcia, V. Wand, U. Johann, and C. Braxmaier, LTP interferometer-noise sources and performance, Classical Quantum Gravity 22, S155 (2005).
  10. G. Heinzel, C. Braxmaier, R. Schilling, A. Rüdiger, D. Robertson, M. te Plate, V. Wand, K. Arai, U. Johann, and K. Danzmann, Interferometry for the LISA technology package (LTP) aboard SMART-2, Classical Quantum Gravity 20, S153 (2003).
  11. G. Heinzel, V. Wand, A. García, O. Jennrich, C. Braxmaier, D. Robertson, K. Middleton, D. Hoyland, A. Rüdiger, R. Schilling, U. Johann, and K. Danzmann, The LTP interferometer and phasemeter, Classical Quantum Gravity 21, S581 (2004).
  12. H. Audley et al., The LISA pathfinder interferometry—hardware and system testing, Classical Quantum Gravity 28, 094003 (2011).
  13. E. Morrison, B. J. Meers, D. I. Robertson, and H. Ward, Automatic alignment of optical interferometers, Appl. Opt. 33, 5041 (1994).
  14. D. Robertson, 3OB as built OptoCAD model—S2-UGL-TN-3045, Technical Report, University of Glasgow, 2013.
  15. A. Schleicher, T. Ziegler, R. Schubert, N. Brandt, P. Bergner, U. Johann, W. Fichter, and J. Grzymisch, In-orbit performance of the LISA Pathfinder drag-free and attitude control system, CEAS Space J. 10, 471 (2018).
  16. M. Armano et al., LISA pathfinder platform stability and drag-free performance, Phys. Rev. D 99, 082001 (2019).
  17. M. Armano et al., Capacitive sensing of test mass motion with nanometer precision over millimeter-wide sensing gaps for space-borne gravitational reference sensors, Phys. Rev. D 96, 062004 (2017).
  18. Sarah Paczkowski (on behalf of the LPF Collaboration), Laser frequency noise stabilisation and interferometer path length differences on LISA pathfinder, J. Phys. Conf. Ser. 840, 012004 (2017).
  19. S. Paczkowski, Laser frequency stabilisation and interferometer path length differences during the LISA pathfinder satellite mission, Ph.D. thesis, Leibniz Universität Hannover, 2021, 10.15488/11130.
  20. D. I. Robertson, E. D. Fitzsimons, C. J. Killow, M. Perreur-Lloyd, H. Ward, J. Bryant, A. M. Cruise, G. Dixon, D. Hoyland, D. Smith, and J. Bogenstahl, Construction and testing of the optical bench for LISA pathfinder, Classical Quantum Gravity 30, 085006 (2013).
  21. M. Kersten, OMS-control loop stability analysis and filter design—S2-ASD-TN-3107, Technical Report, Astrium, 2011.
  22. M. Hewitson et al., Data analysis for the LISA Technology Package, Classical Quantum Gravity 26, 094003 (2009).
  23. J. S. Bendat and A. G. Piersol, Engineering Applications of Correlation and Spectral Analysis (Wiley, New York, 1980).
  24. M. Nofrarias, F. Gibert, N. Karnesis, A. F. García, M. Hewitson, G. Heinzel, and K. Danzmann, Subtraction of temperature induced phase noise in the LISA frequency band, Phys. Rev. D 87, 102003 (2013).
  25. F. Gibert et al., Thermo-elastic induced phase noise in the LISA Pathfinder spacecraft, Classical Quantum Gravity 32, 045014 (2015).
  26. K. Danzmann et al., LPF final report for the German contribution to the nominal mission, Technical Report, AEI, 2018, 10.2314/GBV:1030758840.
  27. H. Audley, Preparing for LISA pathfinder operations: Characterisation of the optical metrology system, Ph.D. thesis, Leibniz Universität Hannover, 2014, 10.15488/8220.
  28. M. Tröbs and G. Heinzel, Improved spectrum estimation from digitized time series on a logarithmic frequency axis, Measurement 39, 120 (2006).
  29. O. Hartwig, Instrumental modelling and noise reduction algorithms for the Laser Interferometer Space Antenna, Ph.D. thesis, Leibniz Universität Hannover, 2021, 10.15488/11372.
  30. O. Hartwig, J.-B. Bayle, M. Staab, A. Hees, M. Lilley, and P. Wolf, Time-delay interferometry without clock synchronization, Phys. Rev. D 105, 122008 (2022).
  31. J.-B. Bayle, O. Hartwig, and M. Staab, Adapting time-delay interferometry for LISA data in frequency, Phys. Rev. D 104, 023006 (2021).
  32. S. Paczkowski, R. Giusteri, M. Hewitson, N. Karnesis, E. D. Fitzsimons, G. Wanner, and G. Heinzel, Postprocessing subtraction of tilt-to-length noise in LISA, Phys. Rev. D 106, 042005 (2022).
  33. G. Mueller, P. McNamara, I. Thorpe, and J. Camp, Laser frequency stabilization for LISA, Technical Report, NASA, 2005, https://ntrs.nasa.gov/api/citations/20060012084/downloads/20060012084.pdf.
  34. T. Schwarze, Phase extraction for laser interferometry in space: Phase readout schemes and optical testing, Ph.D. thesis, Leibniz Universität Hannover, 2018, 10.15488/4233.
  35. K. Abich et al., In-orbit performance of the GRACE follow-on laser ranging interferometer, Phys. Rev. Lett. 123, 031101 (2019).
  36. J.-B. Bayle and O. Hartwig, Unified model for the LISA measurements and instrument simulations, Phys. Rev. D 107, 083019 (2023).
  37. G. Hechenblaikner, V. Wand, M. Kersten, K. Danzmann, A. García, G. Heinzel, M. Nofrarias, and F. Steier, Digital laser frequency control and phase-stabilization loops in a high precision space-borne metrology system, IEEE J. Quantum Electron. 47, 651 (2011).
  38. O. Gerberding, K.-S. Isleif, M. Mehmet, K. Danzmann, and G. Heinzel, Laser-frequency stabilization via a quasimonolithic Mach-Zehnder interferometer with arms of unequal length and balanced dc readout, Phys. Rev. Appl. 7, 024027 (2017).
  39. V. Huarcaya, M. D. Álvarez, D. Penkert, S. Gozzo, P. M. Cano, K. Yamamoto, J. J. E. Delgado, M. Mehmet, K. Danzmann, and G. Heinzel, 2×1013 Fractional laser-frequency stability with a 7-cm unequal-arm Mach-Zehnder interferometer, Phys. Rev. Appl. 20, 024078 (2023).
  40. B. Sheard, G. Heinzel, and K. Danzmann, LISA long-arm interferometry: An alternative frequency pre-stabilization system, Classical Quantum Gravity 27, 084011 (2010).

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