Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer

Research output: Contribution to journalArticleResearchpeer review

Authors

  • M. Chwalla
  • K. Danzmann
  • E. Fitzsimons
  • O. Gerberding
  • G. Heinzel
  • C.j. Killow
  • M. Perreur-lloyd
  • D.i. Robertson
  • J.m. Rohr
  • S. Schuster
  • T.s. Schwarze
  • M. Tröbs
  • G. Wanner
  • H. Ward
  • M. Dovale Alvarez
  • J.J. Esteban Delgado
  • Germán Fernández Barranco
  • M. Lieser

External Research Organisations

  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
  • Universität Hamburg
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Details

Original languageEnglish
Article number014030
Number of pages14
JournalPhysical review applied
Volume14
Issue number1
Publication statusPublished - 10 Jul 2020

Abstract

The arm length and the isolation in space enable the Laser Interferometer Space Antenna (LISA) to probe for signals unattainable on the ground, opening a window to the subhertz gravitational-wave universe. The coupling of unavoidable angular spacecraft jitter into the longitudinal displacement measurement, an effect known as tilt-to-length (TTL) coupling, is critical for realizing the required sensitivity of picometer/Hz. An ultrastable interferometer test bed has been developed in order to investigate this issue and validate mitigation strategies in a setup representative of LISA and in this paper it is operated in the long-arm interferometer configuration. The test bed is fitted with a flat-top beam generator to simulate the beam received by a LISA spacecraft. We demonstrate a reduction of TTL coupling between this flat-top beam and a Gaussian reference beam via the introduction of two- and four-lens imaging systems. TTL coupling factors below ±25μm/rad for beam tilts within ±300μrad are obtained by careful optimization of the system. Moreover, we show that the additional TTL coupling due to lateral-alignment errors of elements of the imaging system can be compensated by introducing lateral shifts of the detector and vice versa. These findings help validate the suitability of this noise-reduction technique for the LISA long-arm interferometer.

ASJC Scopus subject areas

Cite this

Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer. / Chwalla, M.; Danzmann, K.; Fitzsimons, E. et al.
In: Physical review applied, Vol. 14, No. 1, 014030, 10.07.2020.

Research output: Contribution to journalArticleResearchpeer review

Chwalla, M, Danzmann, K, Fitzsimons, E, Gerberding, O, Heinzel, G, Killow, CJ, Perreur-lloyd, M, Robertson, DI, Rohr, JM, Schuster, S, Schwarze, TS, Tröbs, M, Wanner, G, Ward, H, Dovale Alvarez, M, Esteban Delgado, JJ, Barranco, GF & Lieser, M 2020, 'Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer', Physical review applied, vol. 14, no. 1, 014030. https://doi.org/10.1103/PhysRevApplied.14.014030
Chwalla, M., Danzmann, K., Fitzsimons, E., Gerberding, O., Heinzel, G., Killow, C. J., Perreur-lloyd, M., Robertson, D. I., Rohr, J. M., Schuster, S., Schwarze, T. S., Tröbs, M., Wanner, G., Ward, H., Dovale Alvarez, M., Esteban Delgado, J. J., Barranco, G. F., & Lieser, M. (2020). Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer. Physical review applied, 14(1), Article 014030. https://doi.org/10.1103/PhysRevApplied.14.014030
Chwalla M, Danzmann K, Fitzsimons E, Gerberding O, Heinzel G, Killow CJ et al. Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer. Physical review applied. 2020 Jul 10;14(1):014030. doi: 10.1103/PhysRevApplied.14.014030
Chwalla, M. ; Danzmann, K. ; Fitzsimons, E. et al. / Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer. In: Physical review applied. 2020 ; Vol. 14, No. 1.
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title = "Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer",
abstract = "The arm length and the isolation in space enable the Laser Interferometer Space Antenna (LISA) to probe for signals unattainable on the ground, opening a window to the subhertz gravitational-wave universe. The coupling of unavoidable angular spacecraft jitter into the longitudinal displacement measurement, an effect known as tilt-to-length (TTL) coupling, is critical for realizing the required sensitivity of picometer/Hz. An ultrastable interferometer test bed has been developed in order to investigate this issue and validate mitigation strategies in a setup representative of LISA and in this paper it is operated in the long-arm interferometer configuration. The test bed is fitted with a flat-top beam generator to simulate the beam received by a LISA spacecraft. We demonstrate a reduction of TTL coupling between this flat-top beam and a Gaussian reference beam via the introduction of two- and four-lens imaging systems. TTL coupling factors below ±25μm/rad for beam tilts within ±300μrad are obtained by careful optimization of the system. Moreover, we show that the additional TTL coupling due to lateral-alignment errors of elements of the imaging system can be compensated by introducing lateral shifts of the detector and vice versa. These findings help validate the suitability of this noise-reduction technique for the LISA long-arm interferometer.",
author = "M. Chwalla and K. Danzmann and E. Fitzsimons and O. Gerberding and G. Heinzel and C.j. Killow and M. Perreur-lloyd and D.i. Robertson and J.m. Rohr and S. Schuster and T.s. Schwarze and M. Tr{\"o}bs and G. Wanner and H. Ward and {Dovale Alvarez}, M. and {Esteban Delgado}, J.J. and Barranco, {Germ{\'a}n Fern{\'a}ndez} and M. Lieser",
note = "We acknowledge funding by the European Space Agency within the project “Optical Bench Development for LISA” (Grant No. 22331/09/NL/HB), support from the United Kingdom Space Agency, University of Glasgow and the Scottish Universities Physics Alliance (SUPA), and support by the Deutsches Zentrum f{\"u}r Luft und Raumfahrt (DLR) with funding from the Bundesministerium f{\"u}r Wirtschaft und Technologie (DLR Project Reference 50 OQ 0601). We thank the German Research Foundation for funding the cluster of Excellence QUEST—Centre for Quantum Engineering and Space-Time Research. We acknowledge financial support from the Deutsche Forschungsgemeinschaft (DFG) in the frame of SFB1128 geoQ, project A05 for the optical simulations.",
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T1 - Optical Suppression of Tilt-to-Length Coupling in the LISA Long-Arm Interferometer

AU - Chwalla, M.

AU - Danzmann, K.

AU - Fitzsimons, E.

AU - Gerberding, O.

AU - Heinzel, G.

AU - Killow, C.j.

AU - Perreur-lloyd, M.

AU - Robertson, D.i.

AU - Rohr, J.m.

AU - Schuster, S.

AU - Schwarze, T.s.

AU - Tröbs, M.

AU - Wanner, G.

AU - Ward, H.

AU - Dovale Alvarez, M.

AU - Esteban Delgado, J.J.

AU - Barranco, Germán Fernández

AU - Lieser, M.

N1 - We acknowledge funding by the European Space Agency within the project “Optical Bench Development for LISA” (Grant No. 22331/09/NL/HB), support from the United Kingdom Space Agency, University of Glasgow and the Scottish Universities Physics Alliance (SUPA), and support by the Deutsches Zentrum für Luft und Raumfahrt (DLR) with funding from the Bundesministerium für Wirtschaft und Technologie (DLR Project Reference 50 OQ 0601). We thank the German Research Foundation for funding the cluster of Excellence QUEST—Centre for Quantum Engineering and Space-Time Research. We acknowledge financial support from the Deutsche Forschungsgemeinschaft (DFG) in the frame of SFB1128 geoQ, project A05 for the optical simulations.

PY - 2020/7/10

Y1 - 2020/7/10

N2 - The arm length and the isolation in space enable the Laser Interferometer Space Antenna (LISA) to probe for signals unattainable on the ground, opening a window to the subhertz gravitational-wave universe. The coupling of unavoidable angular spacecraft jitter into the longitudinal displacement measurement, an effect known as tilt-to-length (TTL) coupling, is critical for realizing the required sensitivity of picometer/Hz. An ultrastable interferometer test bed has been developed in order to investigate this issue and validate mitigation strategies in a setup representative of LISA and in this paper it is operated in the long-arm interferometer configuration. The test bed is fitted with a flat-top beam generator to simulate the beam received by a LISA spacecraft. We demonstrate a reduction of TTL coupling between this flat-top beam and a Gaussian reference beam via the introduction of two- and four-lens imaging systems. TTL coupling factors below ±25μm/rad for beam tilts within ±300μrad are obtained by careful optimization of the system. Moreover, we show that the additional TTL coupling due to lateral-alignment errors of elements of the imaging system can be compensated by introducing lateral shifts of the detector and vice versa. These findings help validate the suitability of this noise-reduction technique for the LISA long-arm interferometer.

AB - The arm length and the isolation in space enable the Laser Interferometer Space Antenna (LISA) to probe for signals unattainable on the ground, opening a window to the subhertz gravitational-wave universe. The coupling of unavoidable angular spacecraft jitter into the longitudinal displacement measurement, an effect known as tilt-to-length (TTL) coupling, is critical for realizing the required sensitivity of picometer/Hz. An ultrastable interferometer test bed has been developed in order to investigate this issue and validate mitigation strategies in a setup representative of LISA and in this paper it is operated in the long-arm interferometer configuration. The test bed is fitted with a flat-top beam generator to simulate the beam received by a LISA spacecraft. We demonstrate a reduction of TTL coupling between this flat-top beam and a Gaussian reference beam via the introduction of two- and four-lens imaging systems. TTL coupling factors below ±25μm/rad for beam tilts within ±300μrad are obtained by careful optimization of the system. Moreover, we show that the additional TTL coupling due to lateral-alignment errors of elements of the imaging system can be compensated by introducing lateral shifts of the detector and vice versa. These findings help validate the suitability of this noise-reduction technique for the LISA long-arm interferometer.

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