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Related papers: The Varied Avatars of Time-delay Interferometry

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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-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

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

Space-based gravitational wave detectors cannot keep rigid structures and precise arm length equality, so the precise equality of detector arms which is required in a ground-based interferometer to cancel the overwhelming laser noise is…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Chunyu Zhang , Qing Gao , Yungui Gong , Dicong Liang , Alan J. Weinstein , Chao Zhang

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

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

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 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 essential for space-based gravitational wave (GW) missions, as it suppresses laser frequency noise and achieve the required sensitivity. Beyond the standard Michelson configuration, a variety of…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Gang Wang

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

The current design of space-based gravitational wave detectors utilizes heterodyne laser interferometry in inter-satellite science measurements. Frequency variations of the heterodyne beatnotes are predominantly caused by the Doppler effect…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Lu Zheng , Shutao Yang , Xuefeng Zhang

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 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

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

In the detection of gravitational waves in space, the arm lengths between spacecraft are not equal due to their orbital motion. Consequently, the equal arm length Michelson interferometer used in Earth laboratories is not suitable for…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Gang Wang

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

Three spacecraft of LISA/TAIJI mission follow their respective geodesic trajectories, and their interferometric arms are unequal and time-varying due to orbital dynamics. Time-delay interferometry (TDI) is proposed to suppress the laser…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Gang Wang , Wei-Tou Ni

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

We generalize the combinatorial algebraic approach first proposed by Dhurandhar et al. to construct various classes of modified second-generation time-delay interferometry (TDI) solutions. The main idea behind the algorithm is to enumerate,…

Instrumentation and Methods for Astrophysics · Physics 2023-02-15 Zhang-Qi Wu , Pan-Pan Wang , Wei-Liang Qian , Cheng-Gang Shao

High-precision interpolation of LISA phase measurements allows signal reconstruction and formulation of Time-Delay Interferometry (TDI) combinations to be conducted in post-processing. The reconstruction is based on phase measurements made…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. A. Shaddock , B. Ware , R. E. Spero , M. Vallisneri