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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

The analysis of gravitational wave (GW) datasets is based on the comparison of measured time series with theoretical templates of the detector's response to a variety of source parameters. For LISA, the main scientific observables will be…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Michael L. Katz , Jean-Baptiste Bayle , Alvin J. K. Chua , Michele Vallisneri

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

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

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

Tilts of certain elements within a laser interferometer can undesirably couple into measurements as a form of noise, known as tilt-to-length (TTL) coupling. This TTL coupling is anticipated to be one of the primary noise sources in the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Henry Wegener , Sarah Paczkowski , Marie-Sophie Hartig , Martin Hewitson , Gerhard Heinzel , Gudrun Wanner

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

Space-based gravitational wave (GW) detectors are designed for wave sources in the millihertz band with different locations and orientations. Time-delay interferometry (TDI) technique is an indispensable ingredient in space-borne GW…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Pan-Pan Wang , Hao-Kang Chen , Wei-Liang Qian , Rui Luo , Jing Zhou , Wei-Sheng Huang , Yu-Jie Tan , Cheng-Gang Shao

A phase-locking configuration for LISA is proposed that provides a significantly simpler mode of operation. The scheme provides one Sagnac signal readout inherently insensitive to laser frequency noise and optical bench motion for a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Daniel A. Shaddock

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

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

The Laser Interferometer Space Antenna (LISA) will be the first space-based gravitational wave (GW) observatory. It will measure gravitational wave signals in the frequency regime from 0.1 mHz to 1 Hz. The success of these measurements will…

Instrumentation and Methods for Astrophysics · Physics 2025-02-26 Marie-Sophie Hartig , Sarah Paczkowski , Martin Hewitson , Gerhard Heinzel , Gudrun Wanner

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

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

The Taiji mission for space-based gravitational wave (GW) detection employs laser interferometry to measure picometer-scale distance variations induced by GWs. The tilt-to-length (TTL) coupling noise in the inter-spacecraft interferometers,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Qiong Deng , Leiqiao Ye , Ke An , Yidi Fan , Ruihong Gao , Ziren Luo , Minghui Du , Pengcheng Wang , Peng Xu

We explore the impact of choosing different sets of Time-Delay Interferometry (TDI) variables for detecting and reconstructing Stochastic Gravitational Wave Background (SGWB) signals and estimating the instrumental noise in LISA. Most works…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Olaf Hartwig , Marc Lilley , Martina Muratore , Mauro Pieroni

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

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-stability optical frequency comparison over fiber link enables the establishment of ultrastable optical clock networks, having the potential to promote a series of applications, including metrology, geodesy, and astronomy. In this…

Optics · Physics 2022-07-13 Long Wang , Ruimin Xue , Wenhai Jiao , Liang Hu Jianping Chen , Guiling Wu

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
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