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Time-delay interferometry (TDI) is a data processing technique for LISA designed to suppress the otherwise overwhelming laser noise by several orders of magnitude. It is widely believed that TDI can only be applied once all phase or…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Olaf Hartwig , Jean-Baptiste Bayle , Martin Staab , Aurélien Hees , Marc Lilley , Peter Wolf

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

The LISA mission will likely be a signal dominated detector, such that one challenge is the separation of the different astrophysical sources, and to distinguish between them and the instrumental noise. One of the goals of LISA is to probe…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Martina Muratore , Daniele Vetrugno , Stefano Vitale , Olaf Hartwig

The Laser Interferometer Space Antenna (LISA) is a European Space Agency mission that aims to measure gravitational waves in the millihertz range. The three-spacecraft constellation forms a nearly-equilateral triangle, which experiences…

Instrumentation and Methods for Astrophysics · Physics 2021-07-07 Olaf Hartwig , Jean-Baptiste Bayle

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

Time-delay interferometry (TDI) is a post-processing technique used to reduce laser noise in heterodyne interferometric measurements with unequal armlengths, a situation characteristic of space gravitational detectors such as Laser…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Jean-Baptiste Bayle , Olaf Hartwig , Martin Staab

LISA is a joint space mission of the ESA and NASA for detecting low frequency gravitational radiation in the band $10^{-5} - 1$ Hz. In order to attain the requisite sensitivity for LISA, the laser frequency noise must be suppressed below…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. V. Dhurandhar

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

Time Delay Interferometry (TDI) is often utilized in the data pre-processing of space-based gravitational wave detectors, primarily for suppressing laser frequency noise. About twenty years ago, assuming armlengths remain constant over…

Instrumentation and Detectors · Physics 2023-08-30 Weisheng Huang , Pan-Pan Wang , Yu-Jie Tan , Cheng-Gang Shao

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

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

The Laser Interferometer Space Antenna is a joint ESA-NASA space-mission to detect and study mHz cosmic gravitational waves. The trajectories followed by its three spacecraft result in unequal- and time-varying arms, requiring use of the…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Massimo Tinto , Olaf Hartwig

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 the data processing technique that cancels the large laser phase fluctuations affecting the heterodyne Doppler measurements made by unequal-arm space-based gravitational wave interferometers. The space of…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Massimo Tinto , Sanjeev Dhurandhar , Dishari Malakar

Time delay interferometry (TDI) is essential for suppressing laser frequency noise and achieving the targeted sensitivity for space-borne gravitational wave (GW) missions. In Paper I, we examined the performance of the fiducial…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Gang Wang

Space-based gravitational wave (GW) observatories, such as the future Laser Interferometer Space Antenna (LISA), employ synthetic Time Delay Interferometry (TDI) to cancel the otherwise overwhelming laser frequency noise. The phase readouts…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Neil J. Cornish , Tyson Littenberg

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

The space-based gravitational-wave observatory LISA, a NASA-ESA mission to be launched after 2012, will achieve its optimal sensitivity using Time Delay Interferometry (TDI), a LISA-specific technique needed to cancel the otherwise…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Michele Vallisneri

Laser frequency noise (LFN) is the dominant source of noise expected in the Laser Interferometer Space Antenna (LISA) mission, at $\sim$7 orders of magnitude greater than the typical signal expected from gravitational waves (GWs).…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Jessica Page , Tyson Littenberg

Time-delay interferometry (TDI) is a processing step essential for the scientific exploitation of LISA, as it reduces the otherwise overwhelming laser noise in the interferometric measurements. The fundamental idea is to define new…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Jean-Baptiste Bayle , Michele Vallisneri , Stanislav Babak , Antoine Petiteau
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