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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

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

Equal-arm interferometric detectors of gravitational radiation allow phase measurements many orders of magnitude below the intrinsic phase stability of the laser injecting light into their arms. This is because the noise in the laser light…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Massimo Tinto , Sanjeev V. Dhurandhar

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

Data from the Laser Interferometer Space Antenna (LISA) is expected to be dominated by frequency noise from its lasers. However the noise from any one laser appears more than once in the data and there are combinations of the data that are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. D. Romano , G. Woan

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 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

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

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

Many years of development have gone into producing instruments that meet the required noise performance of the LISA interferometric detection system. Concurrently, software simulations have been used to extensively develop the data analysis…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Reid Ferguson , Olaf Hartwig , Guido Mueller

We investigate the impact of missing input data on the construction of second-generation Time Delay Interferometry (TDI) variables, which enable data analysis for the Laser Interferometer Space Antenna (LISA). TDI relies on the introduction…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Ollie Burke , Martina Muratore , Graham Woan

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

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

The Laser Interferometer Space Antenna (LISA) is scheduled to launch in the mid 2030s, and is expected to observe gravitational-wave candidates from massive black-hole binary mergers, extreme mass-ratio inspirals, and more. Accurately…

Instrumentation and Methods for Astrophysics · Physics 2023-12-21 Charlie Hoy , Laura K. Nuttall

The Laser Interferometer Space Antenna (LISA) mission is being developed by ESA with NASA participation. As it has recently passed the Mission Adoption milestone, models of the instruments and noise performance are becoming more detailed,…

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

We report on three numerical experiments on the implementation of Time-Delay Interferometry (TDI) for LISA, performed with Synthetic LISA, a C++/Python package that we developed to simulate the LISA science process at the level of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Michele Vallisneri

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

LISA is a joint space mission of the NASA and the ESA for detecting low frequency gravitational waves 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 2008-12-18 S. V. Dhurandhar , J-Y. Vinet , K. Rajesh Nayak

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