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The Laser Interferometer Space Antenna (LISA) will be a space-borne gravitational wave (GW) detector to be launched in the next decade. Central to LISA data analysis is time-delay interferometry (TDI), a numerical procedure which…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Raissa Costa Barroso , Yves Lemière , François Mauger , Quentin Baghi

We address the two issues raised by Bayle, Vallisneri, Babak, and Petiteau (in their gr-qc document arXiv:2106.03976) about our matrix formulation of Time-Delay Interferometry (TDI) (arXiv:2105.02054) \cite{TDJ21}. In so doing we explain…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Massimo Tinto , Sanjeev Dhurandhar , Prasanna Joshi

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

Heterodyne laser phase measurements in a space-based gravitational wave interferometer are degraded by the phase fluctuations of the onboard clocks, resulting in unacceptable sensitivity performance levels of the interferometric data. In…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Massimo Tinto , Nan Yu

Spaceborne gravitational wave observatories, exemplified by the Laser Interferometer Space Antenna (LISA) mission, are designed to remove laser noise and clock noise from interferometric phase measurements in postprocessing. The planned…

Instrumentation and Methods for Astrophysics · Physics 2026-05-18 Kohei Yamamoto , Hannah Tomio , Charlotte Zehnder , Kenji Numata , Holly Leopardi

Time-delay interferometry (TDI) is essential for suppressing laser frequency noise in space-based gravitational wave (GW) observatories such as LISA. However, current second-generation TDI schemes often exhibit undesirable null frequencies…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Gang Wang

In order to attain the requisite sensitivity for LISA, laser frequency noise must be suppressed below the secondary noises such as the optical path noise, acceleration noise etc. In a previous paper (Dhurandhar et al., Class. Quantum Grav.,…

General Relativity and Quantum Cosmology · Physics 2012-10-25 S. V. Dhurandhar , W. -T. Ni , G. Wang

In early 2024, ESA formally adopted the Laser Interferometer Space Antenna (LISA) space mission with the aim of measuring gravitational waves emitted in the millihertz range. The constellation employs three spacecraft that exchange laser…

Instrumentation and Methods for Astrophysics · Physics 2025-09-15 Shivani Harer , Martin Staab , Hubert Halloin

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

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) is a crucial technology for space-based gravitational wave detectors. Previous studies have identified the optimal TDI configuration for the first-generation. In this research, we used an Algebraic approach…

Instrumentation and Methods for Astrophysics · Physics 2023-04-28 Yu Tian , Zhi-Xiang Li

TianQin is a proposed geocentric space-based gravitational wave observatory mission, which requires time-delay interferometry (TDI) to cancel laser frequency noise. With high demands for precision, solar-wind plasma environment at $\sim…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Yi-De Jing , Lu Zheng , Shutao Yang , Xuefeng Zhang , Lingfeng Lu , Binbin Tang , Wei Su

The LISA mission is a space interferometer aiming at the detection of gravitational waves in the [$10^{-4}$,$10^{-1}$] Hz frequency band. In order to reach the gravitational wave detection level, a Time Delay Interferometry (TDI) method…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Pireaux

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

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

The dispersed fixed-delay interferometer (DFDI) represents a new instrument concept for high-precision radial velocity (RV) surveys for extrasolar planets. A combination of Michelson interferometer and medium-resolution spectrograph, it has…

Instrumentation and Methods for Astrophysics · Physics 2010-07-02 Julian C. van Eyken , Jian Ge , Suvrath Mahadevan

The sensitivity of LISA depends on the suppression of several noise sources; dominant one is laser frequency noise. It has been shown that the six Doppler data streams obtained from three space-crafts can be appropriately time delayed and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Pai , K. Rajesh Nayak , S. V. Dhurandhar , J-Y. Vinet

Clock noise is one of the dominant noises in the space-borne gravitational wave (GW) detection. To suppress this noise, the clock noise-calibrated time-delay-interferometry (TDI) technique is proposed. In this technique, an inter-spacecraft…

Instrumentation and Methods for Astrophysics · Physics 2023-10-31 Mingyang Xu , Yujie Tan , Hanzhong Wu , Panpan Wang , Hao Yan , Yurong Liang , Chenggang Shao

The LISA mission is the future space-based gravitational wave (GW) observatory of the European Space Agency. It is formed by 3 spacecraft exchanging laser beams in order to form multiple real and virtual interferometers. The data streams to…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Dam Quang Nam , Yves Lemiere , Antoine Petiteau , Jean-Baptiste Bayle , Olaf Hartwig , Joseph Martino , Martin Staab

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