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Accurate and efficient modeling of the Laser Interferometer Space Antenna (LISA) response is crucial for gravitational-wave (GW) data analysis. A key computational challenge lies in evaluating time-delay interferometry (TDI) variables,…

General Relativity and Quantum Cosmology · Physics 2025-08-15 Jorge Valencia , Sascha Husa

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

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

Laser frequency noise suppression is a critical requirement for the Laser Interferometer Space Antenna (LISA) mission to detect gravitational waves. The baseline laser stabilization is achieved using cavity pre-stabilization and a…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Jobin Thomas Valliyakalayil , Andrew Wade , David Rabeling , Jue Zhang , Daniel Shaddock , Kirk McKenzie

Time-delay interferometry (TDI) suppresses laser frequency noise by forming linear combinations of time-shifted interferometric measurements. The time-shift operation is implemented by interpolating discretely sampled data. To enable…

Instrumentation and Methods for Astrophysics · Physics 2025-06-16 Martin Staab , Jean-Baptiste Bayle , Olaf Hartwig , Aurélien Hees , Marc Lilley , Graham Woan , Peter Wolf

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

With the purpose of understanding how time delay interferometry (TDI) combinations can best be used for the characterisation of LISA instrumental noise, we revisit their laser frequency noise cancellation properties. We have developed an…

Instrumentation and Methods for Astrophysics · Physics 2020-06-17 Martina Muratore , Daniele Vetrugno , Stefano Vitale

The analysis of gravitational wave (GW) datasets is based on the comparison of measured time series with theoretical templates of the detector's response to a variety of source parameters. For LISA, the main scientific observables will be…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Michael L. Katz , Jean-Baptiste Bayle , Alvin J. K. Chua , Michele Vallisneri

In this article, which will appear as a chapter in the Handbook of Gravitational Wave Astronomy, we will describe the detection of gravitational waves with space-based interferometric gravitational wave observatories. We will provide an…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Jonathan R Gair , Martin Hewitson , Antoine Petiteau , Guido Mueller

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

General Relativity and Quantum Cosmology · Physics 2009-11-10 Massimo Tinto , Frank B. Estabrook , adn J. W. Armstrong

LISA (Laser Interferometer Space Antenna) is a proposed space mission, which will use coherent laser beams exchanged between three remote spacecraft to detect and study low-frequency cosmic gravitational radiation. In the low-part of its…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeffrey A. Edlund , Massimo Tinto , Andrzej Krolak , Gijs Nelemans

LISA is an array of three spacecraft in an approximately equilateral triangle configuration which will be used as a low-frequency gravitational wave detector. We present here new generalizations of the Michelson- and Sagnac-type time-delay…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Daniel A. Shaddock , Massimo Tinto , Frank B. Estabrook , J. W. Armstrong

Time Delay Interferometry (TDI) is an indispensable step in the whole data processing procedure of space-based gravitational wave detection, as it mitigates the overwhelming laser frequency noise, which would otherwise completely bury the…

Instrumentation and Methods for Astrophysics · Physics 2024-07-30 Minghui Du , Pengzhan Wu , Ziren Luo , Peng Xu

We anticipate noise from the Laser Interferometer Space Antenna (LISA) will exhibit nonstationarities throughout the duration of its mission due to factors such as antenna repointing, cyclostationarities from spacecraft motion, and glitches…

General Relativity and Quantum Cosmology · Physics 2020-10-29 Matthew C. Edwards , Patricio Maturana-Russel , Renate Meyer , Jonathan Gair , Natalia Korsakova , Nelson Christensen

This work presents the first application of the method of Genetic Algorithms (GAs) to data analysis for the Laser Interferometer Space Antenna (LISA). In the low frequency regime of the LISA band there are expected to be tens of thousands…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeff Crowder , Neil J. Cornish , Lucas Reddinger

LISA (Laser Interferometer Space Antenna) is a proposed space mission, which will use coherent laser beams exchanged between three remote spacecraft to detect and study low-frequency cosmic gravitational radiation. In the low-part of its…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeffrey A. Edlund , Massimo Tinto , Andrzej Królak , Gijs Nelemans

The Laser Interferometer Space Antenna (LISA) mission aims to detect gravitational waves by interferometrically measuring the change of separation between free-falling test masses (TMs). LISA's interferometers must deliver pm/rtHz…

The Laser Interferometer Space Antenna (LISA) is a gravitational wave detector in space. It relies on a post-processing technique named time-delay interferometry (TDI) to suppress the overwhelming laser frequency noise by several orders of…

We anticipate that the data acquired by the Laser Interferometer Space Antenna (LISA) will be dominated by the gravitational wave signals from several astrophysical populations. The analysis of these data is a new challenge and is the main…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Senwen Deng , Stanislav Babak , Maude Le Jeune , Sylvain Marsat , Éric Plagnol , Andrea Sartirana

Proper tuning of the orbital characteristics of the three spacecrafts that constitute the usual triangular configuration of the space-borne gravitational-wave detector LISA, could minimize the breathing mode of its arm-lengths. Since the…

General Relativity and Quantum Cosmology · Physics 2008-04-15 Ioannis Deligiannis , Theocharis A. Apostolatos