Time-delay interferometry noise transfer functions for LISA

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Dam Quang Nam
  • Joseph Martino
  • Yves Lemière
  • Antoine Petiteau
  • Jean Baptiste Bayle
  • Olaf Hartwig
  • Martin Staab

Research Organisations

External Research Organisations

  • Université Paris-Saclay
  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
  • University of Glasgow
  • Université Paris Cité
  • Normandie University
  • LNE-SYRTE - Observatoire de Paris
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Details

Original languageEnglish
Article number082004
Number of pages16
JournalPhysical Review D
Volume108
Issue number8
Publication statusPublished - 18 Oct 2023

Abstract

The Laser Interferometry Space Antenna (LISA) mission is the future space-based gravitational-wave (GW) observatory of the European Space Agency. It is formed by three spacecraft exchanging laser beams in order to form multiple interferometers. The data streams to be used in order to extract the large number and variety of GW sources are time-delay interferometry (TDI) data. One important processing step to produce these data is the TDI on-ground processing, which recombines multiple interferometric on-board measurements to remove certain noise sources from the data, such as laser frequency noise or spacecraft jitter noise. The LISA noise budget is therefore expressed at the TDI level in order to account for the different TDI transfer functions applied for each noise source and thus estimate their real weight on mission performance. In this study, we present an update model for the beams, measurements and TDI, with several approximations to derive the noise transfer functions. The laser locking and noise correlation are taken into account to see their impact in the transfer functions. A methodology for such a derivation has been established in detail, as well as verification procedures against simulated data. It results in a set of transfer functions, which are now used by the LISA project, in particular in its performance model. Using these transfer functions, realistic noise curves for various instrumental configurations are provided to data analysis algorithms and used for instrument design.

ASJC Scopus subject areas

Cite this

Time-delay interferometry noise transfer functions for LISA. / Quang Nam, Dam; Martino, Joseph; Lemière, Yves et al.
In: Physical Review D, Vol. 108, No. 8, 082004, 18.10.2023.

Research output: Contribution to journalArticleResearchpeer review

Quang Nam, D, Martino, J, Lemière, Y, Petiteau, A, Bayle, JB, Hartwig, O & Staab, M 2023, 'Time-delay interferometry noise transfer functions for LISA', Physical Review D, vol. 108, no. 8, 082004. https://doi.org/10.1103/PhysRevD.108.082004
Quang Nam, D., Martino, J., Lemière, Y., Petiteau, A., Bayle, J. B., Hartwig, O., & Staab, M. (2023). Time-delay interferometry noise transfer functions for LISA. Physical Review D, 108(8), Article 082004. https://doi.org/10.1103/PhysRevD.108.082004
Quang Nam D, Martino J, Lemière Y, Petiteau A, Bayle JB, Hartwig O et al. Time-delay interferometry noise transfer functions for LISA. Physical Review D. 2023 Oct 18;108(8):082004. doi: 10.1103/PhysRevD.108.082004
Quang Nam, Dam ; Martino, Joseph ; Lemière, Yves et al. / Time-delay interferometry noise transfer functions for LISA. In: Physical Review D. 2023 ; Vol. 108, No. 8.
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title = "Time-delay interferometry noise transfer functions for LISA",
abstract = "The Laser Interferometry Space Antenna (LISA) mission is the future space-based gravitational-wave (GW) observatory of the European Space Agency. It is formed by three spacecraft exchanging laser beams in order to form multiple interferometers. The data streams to be used in order to extract the large number and variety of GW sources are time-delay interferometry (TDI) data. One important processing step to produce these data is the TDI on-ground processing, which recombines multiple interferometric on-board measurements to remove certain noise sources from the data, such as laser frequency noise or spacecraft jitter noise. The LISA noise budget is therefore expressed at the TDI level in order to account for the different TDI transfer functions applied for each noise source and thus estimate their real weight on mission performance. In this study, we present an update model for the beams, measurements and TDI, with several approximations to derive the noise transfer functions. The laser locking and noise correlation are taken into account to see their impact in the transfer functions. A methodology for such a derivation has been established in detail, as well as verification procedures against simulated data. It results in a set of transfer functions, which are now used by the LISA project, in particular in its performance model. Using these transfer functions, realistic noise curves for various instrumental configurations are provided to data analysis algorithms and used for instrument design.",
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AU - Quang Nam, Dam

AU - Martino, Joseph

AU - Lemière, Yves

AU - Petiteau, Antoine

AU - Bayle, Jean Baptiste

AU - Hartwig, Olaf

AU - Staab, Martin

N1 - Funding Information: The authors thank Gerhard Heinzel for the fruitful exchanges. The authors also thank the Performance Working/Expert Group and the Simulation Working/Expert Group of the LISA Consortium. This work is supported by the Centre National d’Études Spatiales (CNES), the Centre National de la Recherche Scientifique (CNRS), the Université Paris Diderot, the Institut de la Recherche sur les lois Fondamentales de l’Univers of the Commissariat à l’Énergie Atomique et aux énergies alternatives (CEA/IRFU) and the Observatoire de Paris. It was also supported by the Programme National GRAM of CNRS/INSU with INP and IN2P3 co-funded by CNES.

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N2 - The Laser Interferometry Space Antenna (LISA) mission is the future space-based gravitational-wave (GW) observatory of the European Space Agency. It is formed by three spacecraft exchanging laser beams in order to form multiple interferometers. The data streams to be used in order to extract the large number and variety of GW sources are time-delay interferometry (TDI) data. One important processing step to produce these data is the TDI on-ground processing, which recombines multiple interferometric on-board measurements to remove certain noise sources from the data, such as laser frequency noise or spacecraft jitter noise. The LISA noise budget is therefore expressed at the TDI level in order to account for the different TDI transfer functions applied for each noise source and thus estimate their real weight on mission performance. In this study, we present an update model for the beams, measurements and TDI, with several approximations to derive the noise transfer functions. The laser locking and noise correlation are taken into account to see their impact in the transfer functions. A methodology for such a derivation has been established in detail, as well as verification procedures against simulated data. It results in a set of transfer functions, which are now used by the LISA project, in particular in its performance model. Using these transfer functions, realistic noise curves for various instrumental configurations are provided to data analysis algorithms and used for instrument design.

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