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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

The proposed Laser Interferometer Space Antenna (LISA) mission is tasked with the detection and characterization of gravitational waves from various sources in the universe. This endeavor is challenged by transient displacement and…

Instrumentation and Methods for Astrophysics · Physics 2024-05-21 Niklas Houba , Luigi Ferraioli , Domenico Giardini

We present a study of the use and limits of the Time-Delay Interferometry null channels for in flight estimation of the Laser Interferometer Space Antenna instrumental noise. The paper considers how the two main limiting noise sources,…

General Relativity and Quantum Cosmology · Physics 2023-03-03 Martina Muratore , Olaf Hartwig , Daniele Vetrugno , Stefano Vitale , William Joseph Weber

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

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

In an effort to eliminate laser phase noise in laser interferometer spaceborne gravitational wave detectors, several combinations of signals have been found that allow the laser noise to be canceled out while gravitational wave signals…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Neil J. Cornish , Ronald W. Hellings

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

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

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

Space gravitational wave detectors employing laser interferometry between free-flying spacecraft differ in many ways from their laboratory counterparts. Among these differences is the fact that, in space, the end-masses will be moving…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ronald W. Hellings

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

Interspacecraft ranging is crucial for the suppression of laser frequency noise via time-delay interferometry (TDI). So far, the effects of on-board delays and ambiguities on the LISA ranging observables were neglected in LISA modelling and…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Jan Niklas Reinhardt , Martin Staab , Kohei Yamamoto , Jean-Baptiste Bayle , Aurélien Hees , Olaf Hartwig , Karsten Wiesner , Sweta Shah , Gerhard Heinzel

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

We previously showed how the measurements of some eighteen time series of relative frequency or phase shifts could be combined (1) to cancel the phase noise of the lasers, (2) to cancel the Doppler fluctuations due to non-inertial motions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Massimo Tinto , John W. Armstrong , Frank B. Estabrook

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

Laser Interferometer Space Antenna LISA represents the next frontier in gravitationalwave GW astronomy targeting the detection of millihertz gravitational signals Central to LISAs operation is the nanosecondprecision estimation of the light…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Jean-Baptiste Bayle , Martin Staab , Samuel P. Francis , Emily Rose Rees , Robert Spero , Gerhard Heinzel

Inspired by the combinatorial algebraic approach proposed by Dhurandhar {\it et al.}, we propose two novel classes of second-generation time-delay interferometry (TDI) solutions and their further generalization. The primary strategy of the…

Instrumentation and Methods for Astrophysics · Physics 2023-07-19 Wei-Liang Qian , Pan-Pan Wang , Zhang-Qi Wu , Cheng-Gang Shao , Bin Wang , Rui-Hong Yue

Tilt-to-length (TTL) coupling is expected to be one of the major noise sources in the interferometric phase readouts in TianQin mission. Arising from the angular motion of spacecraft (SC) and the onboard movable optical subassemblies…

Instrumentation and Methods for Astrophysics · Physics 2024-10-29 Zhizhao Wang , Shuju Yang , Kaihang Wu , Xiaojie Wang , Huizong Duan , Yurong Liang , Xuefeng Zhang , Hsien-Chi Yeh

Time-domain interferometry (TDI) is a method to probe space-time correlations among particles in condensed matter systems. Applying TDI to quantum systems raises the general question, whether two-time correlations can be reliably measured…

Quantum Physics · Physics 2020-07-08 Salvatore Castrignano , Jörg Evers

Cancellation of laser frequency noise in interferometers is crucial for attaining the requisite sensitivity of the triangular 3-spacecraft LISA configuration. Raw laser noise is several orders of magnitude above the other noises and thus it…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. V. Dhurandhar , K. Rajesh Nayak , J-Y. Vinet