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The space-based gravitational-wave observatory LISA relies on a form of synthetic interferometry (time-delay interferometry, or TDI) where the otherwise overwhelming laser phase noise is canceled by linear combinations of appropriately…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Michele Vallisneri , Jean-Baptiste Bayle , Stanislav Babak , Antoine Petiteau

Time delay interferometry (TDI) is a post-processing technique used in the Laser Interferometer Space Antenna (LISA) to reduce laser frequency noise by building an equal-arm interferometer via combining time-shifted raw phase measurements.…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Olaf Hartwig , Martina Muratore

Space-borne interferometric gravitational-wave detectors, sensitive in the low-frequency (mHz) band, will fly in the next decade. In these detectors, the spacecraft-to-spacecraft light-travel times will necessarily be unequal and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Massimo Tinto , Michele Vallisneri , J. W. Armstrong

The future space-based gravitational wave observatory LISA will consist of a constellation of three spacecraft in a triangular constellation, connected by laser interferometers with 2.5 million-kilometer arms. Among other challenges, the…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Quentin Baghi , James Ira Thorpe , Jacob Slutsky , John Baker

Very long baseline interferometry (VLBI) enables high-angular-resolution observations in astronomy and geodesy by synthesizing a virtual telescope with baselines spanning hundreds to thousands of kilometres. Achieving high instrumental…

Instrumentation and Methods for Astrophysics · Physics 2026-05-28 Minji Hyun , Changmin Ahn , Junyong Choi , Jihoon Baek , Woosong Jeong , Do-Heung Je , Do-Young Byun , Jan Wagner , Myoung-Sun Heo , Taehyun Jung , Jungwon Kim

The Laser Interferometer Space Antenna (LISA) is a European Space Agency mission that aims to measure gravitational waves in the millihertz range. Laser frequency noise enters the interferometric measurements and dominates the expected…

Instrumentation and Methods for Astrophysics · Physics 2020-05-22 Jean-Baptiste Bayle , Marc Lilley , Antoine Petiteau , Hubert Halloin

In order to attain the requisite sensitivity for LISA - a joint space mission of the ESA and NASA- the laser frequency noise must be suppressed below the secondary noises such as the optical path noise, acceleration noise etc. By combining…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. V. Dhurandhar , K. Rajesh Nayak , J-Y. Vinet

Equal-arm interferometric detectors of gravitational radiation allow phase measurements many orders of magnitude below the intrinsic phase stability of the laser injecting light into their arms. This is because the noise in the laser light…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Massimo Tinto , Sanjeev V. Dhurandhar

The Laser Interferometer Space Antenna (LISA) aims to observe gravitational waves in the mHz regime over its 10-year mission time. LISA will operate laser interferometers between three spacecrafts. Each spacecraft will utilize independent…

Instrumentation and Methods for Astrophysics · Physics 2022-03-03 Kohei Yamamoto , Christoph Vorndamme , Olaf Hartwig , Martin Staab , Thomas S. Schwarze , Gerhard Heinzel

The LISA mission is a space interferometer aiming at the detection of gravitational waves in the [$10^{-4}$,$10^{-1}$] Hz frequency band. In order to reach the gravitational wave detection level, a Time Delay Interferometry (TDI) method…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Pireaux

Clock noise is one of the dominant noises in the space-borne gravitational wave (GW) detection. To suppress this noise, the clock noise-calibrated time-delay-interferometry (TDI) technique is proposed. In this technique, an inter-spacecraft…

Instrumentation and Methods for Astrophysics · Physics 2023-10-31 Mingyang Xu , Yujie Tan , Hanzhong Wu , Panpan Wang , Hao Yan , Yurong Liang , Chenggang Shao

Optical frequency combs (OFCs) are frequency rulers essential for precision metrology, next generation navigation, and testing of fundamental physics. Despite intense efforts, chip-integrated OFCs remain laboratory-bound, unable to fulfill…

Time-Delay Interferometry (TDI) is the data processing technique that cancels the large laser phase fluctuations affecting the one-way Doppler measurements made by unequal-arm space-based gravitational wave interferometers. In a previous…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Massimo Tinto , Sanjeev Dhurandhar

Time delay interferometry (TDI) is a key technique employed in gravitational wave (GW) space missions to mitigate laser frequency noise by combining multiple laser links and establishing an equivalent equal arm interferometry. The null…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Gang Wang

Space gravitational wave detectors employing laser interferometry between free-flying spacecraft differ in many ways from their laboratory counterparts. Among these differences is the fact that, in space, the end-masses will be moving…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ronald W. Hellings

We previously showed how the measurements of some eighteen time series of relative frequency or phase shifts could be combined (1) to cancel the phase noise of the lasers, (2) to cancel the Doppler fluctuations due to non-inertial motions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Massimo Tinto , John W. Armstrong , Frank B. Estabrook

We report on the first demonstration of time-delay interferometry (TDI) for LISA, the Laser Interferometer Space Antenna. TDI was implemented in a laboratory experiment designed to mimic the noise couplings that will occur in LISA. TDI…

Instrumentation and Methods for Astrophysics · Physics 2015-03-17 Glenn de Vine , Brent Ware , Kirk McKenzie , Robert E. Spero , William M. Klipstein , Daniel A. Shaddock

In early 2024, ESA formally adopted the Laser Interferometer Space Antenna (LISA) space mission with the aim of measuring gravitational waves emitted in the millihertz range. The constellation employs three spacecraft that exchange laser…

Instrumentation and Methods for Astrophysics · Physics 2025-09-15 Shivani Harer , Martin Staab , Hubert Halloin

Raw space-based gravitational-wave data like LISA's phase measurements are dominated by laser frequency noise. The standard technique to make this data usable for science is time-delay interferometry (TDI), which cancels laser noise terms…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Quentin Baghi , John G. Baker , Jacob Slutsky , James Ira Thorpe

Previous work demonstrated effective laser frequency noise (LFN) suppression for Laser Interferometer Space Antenna (LISA) data from raw phasemeter measurements using a Markov Chain Monte Carlo (MCMC) algorithm with fractional delay…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Jessica Page , Tyson Littenberg