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Time-Delay Interferometry.

Living reviews in relativity·2017
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Nanohertz gravitational wave searches with interferometric pulsar timing experiments.

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Time-Delay Interferometry.

Massimo Tinto1, Sanjeev V Dhurandhar2

  • 1Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109 USA.

Living Reviews in Relativity
|February 7, 2017
PubMed
Summary

Time-delay interferometry (TDI) cancels laser noise in space-based gravitational wave detectors with unequal arm lengths. This technique is crucial for missions like LISA, enabling sensitive phase measurements.

Area of Science:

  • Astrophysics
  • Optical Physics
  • Interferometry

Background:

  • Equal-arm interferometers cancel laser noise effectively due to identical path delays.
  • Space-based gravitational wave detectors require unequal arm lengths, leading to uncancelled laser noise.
  • This noise limits the sensitivity of space-borne gravitational wave observatories.

Purpose of the Study:

  • To introduce and explain Time-Delay Interferometry (TDI) for space-based gravitational wave detectors.
  • To detail the theory, mathematical foundations, and experimental implementation of TDI.
  • To highlight TDI's applicability to missions like the Laser Interferometer Space Antenna (LISA).

Main Methods:

  • Heterodyne interferometry with unequal arm lengths and independent phase-difference readouts.
Keywords:
Gravitational-wave detectorsInterferometry

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  • Time-shifting and linearly combining independent Doppler measurements.
  • Developing theoretical and mathematical frameworks for TDI data analysis.

    • Main Results:

    • TDI effectively cancels residual laser noise in unequal-arm interferometers.
    • The technique allows for phase measurements far below intrinsic laser stability limits.
    • TDI provides a viable solution for enhancing the sensitivity of space-based gravitational wave detection.

    Conclusions:

    • TDI is a critical technique for future space-based gravitational wave missions.
    • The method enables precise measurements by overcoming laser noise limitations.
    • TDI's principles are broadly applicable to various interferometric space missions.