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The method of time delay interferometry (TDI) is proposed to cancel the laser noise in space-borne gravitational-wave detectors. Among all different TDI combinations, the most commonly used ones are the orthogonal channels A, E and T, where…

Astrophysics of Galaxies · Physics 2023-08-09 Zheng-Cheng Liang , Zhi-Yuan Li , Jun Cheng , En-Kun Li , Jian-dong Zhang , Yi-Ming Hu

With a laser interferometric gravitational-wave detector in separate free flying spacecraft, the only way to achieve detection is to mitigate the dominant noise arising from the frequency fluctuations of the lasers via postprocessing. The…

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

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

The proposed space-borne laser interferometric gravitational wave (GW) observatory TianQin adopts a geocentric orbit for its nearly equilateral triangular constellation formed by three identical drag-free satellites. The geocentric distance…

Instrumentation and Methods for Astrophysics · Physics 2021-06-02 Ming-Yue Zhou , Xin-Chun Hu , Bobing Ye , Shoucun Hu , Dong-Dong Zhu , Xuefeng Zhang , Wei Su , Yan Wang

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

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 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

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

Space-based gravitational-wave observatories such as the Laser Interferometer Space Antenna (LISA) use time-shifted and time-scaled linear combinations of differential laser-phase beat signals to cancel the otherwise overwhelming laser…

Instrumentation and Methods for Astrophysics · Physics 2013-05-30 Shawn J. Mitryk , Josep Sanjuan , Guido Mueller

Spaceborne gravitational-wave observatories utilize a postprocessing technique known as time-delay interferometry (TDI) to reduce the otherwise overwhelming laser frequency noise by around 8 orders of magnitude. While, in its traditional…

Instrumentation and Methods for Astrophysics · Physics 2025-06-11 Kohei Yamamoto , Jan Niklas Reinhardt , Olaf Hartwig

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

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. By taking finite…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Massimo Tinto , Sanjeev Dhurandhar , Prasanna Joshi

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

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

In the context of the Laser Interferometer Space Antenna (LISA), the laser subsystems exhibit frequency fluctuations that introduce significant levels of noise into the measurements, surpassing the gravitational wave signal by several…

Instrumentation and Detectors · Physics 2024-01-15 Philipp Euringer , Niklas Houba , Gerald Hechenblaikner , Oliver Mandel , Francis Soualle , Walter Fichter

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

Time-delay interferometry (TDI) is essential for space-based gravitational wave (GW) missions to effectively suppress laser frequency noise and achieve targeting sensitivity. The principle of the TDI is to synthesize multiple laser link…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Gang Wang

Time-Delay Interferometry (TDI) is the data processing technique needed for generating interferometric combinations of data measured by the multiple Doppler readouts available onboard the three LISA spacecraft. Within the space of all…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Massimo Tinto , Shane L. Larson

Probing extra polarizations in gravitational waves (GWs) with space-based detectors is the most direct method for testing theories of gravity. In this paper, by employing the second-generation time-delay interferometry (TDI) to cancel out…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Tong Jiang , Chunyu Zhang

Space-based gravitational wave (GW) detectors are designed for wave sources in the millihertz band with different locations and orientations. Time-delay interferometry (TDI) technique is an indispensable ingredient in space-borne GW…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Pan-Pan Wang , Hao-Kang Chen , Wei-Liang Qian , Rui Luo , Jing Zhou , Wei-Sheng Huang , Yu-Jie Tan , Cheng-Gang Shao