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Forthcoming space-based gravitational-wave (GW) detectors will employ second-generation time-delay interferometry (TDI) to suppress laser frequency noise and achieve the sensitivity required for GW detection. We introduce an inverse…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Chunyu Zhang

LISA will detect gravitational waves (GWs) in the milli-Hz frequency band in space. Time-delay interferometry (TDI) is developed to suppress laser frequency noise beneath the acceleration noise and optical metrology noise. To identify…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Gang Wang , Bin Li , Peng Xu , Xilong Fan

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

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

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

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

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

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 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

We introduce a generic algorithm to determine the time delays and spacecraft (S/C) positions to compose any time-delay interferometry (TDI) channel in the dynamical case and evaluate its sensitivity by using a full numerical method. We…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Gang Wang , Wei-Tou Ni , Wen-Biao Han , Cong-Feng Qiao

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 time delay interferometry (TDI) is an algorithm proposed to suppress the laser frequency noise in space-borne gravitational wave detectors. As a post-processing technique, it is implemented by constructing a virtual equal arm…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Pan-Pan Wang , Wei-Liang Qian , Yu-Jie Tan , Han-Zhong Wu , Cheng-Gang Shao

The accurate sky localization of gravitational wave (GW) sources is an important scientific goal for space-based GW detectors. The main differences between future space-based GW detectors, such as Laser Interferometer Space Antenna (LISA),…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Tong Jiang , Yungui Gong , Xuchen Lu

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

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

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

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

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

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 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
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