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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

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

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

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

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

The ongoing development of the space-based laser interferometer missions is aiming at unprecedented gravitational wave detections in the millihertz frequency band. The spaceborne nature of the experimental setups leads to a degree of…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Pan-Pan Wang , Yu-Jie Tan , Wei-Liang Qian , Cheng-Gang Shao

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 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

Tilt-to-length (TTL) noise from angular jitter in LISA is projected to be the dominant noise source in the milli-Hertz band unless corrected in post-processing. The correction is only possible after removing the overwhelming laser phase…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Daniel George , Jose Sanjuan , Paul Fulda , Guido Mueller

This paper presents a novel method for laser frequency stabilisation in the Laser Interferometer Space Antenna (LISA) mission by locking a laser to two stable length references - the arms of the interferometer and an on-board optical…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Jobin Thomas Valliyakalayil , Andrew J. H. Sutton , Robert E. Spero , Daniel A. Shaddock , Kirk McKenzie

ASTROD-GW (ASTROD [Astrodynamical Space Test of Relativity using Optical Devices] optimized for Gravitation Wave detection) is an optimization of ASTROD to focus on the goal of detection of gravitation waves. The detection sensitivity is…

General Relativity and Quantum Cosmology · Physics 2013-04-02 G. Wang , W. -T. Ni

Interferometers with kilometer-scale arms have been built for gravitational-wave detections on the ground; ones with much longer arms are being planned for space-based detection. One fundamental motivation for long baseline interferometry…

General Relativity and Quantum Cosmology · Physics 2020-07-06 Kentaro Somiya , Keisuke Goda , Yanbei Chen , Eugeniy E. Mikhailov

TianQin is a proposed space-borne gravitational wave (GW) observatory composed of three identical satellites orbiting around the geocenter with a radius of $10^5$ km. It aims at detecting GWs in the frequency range of 0.1 mHz -- 1 Hz. The…

Solar and Stellar Astrophysics · Physics 2021-06-30 Wei Su , Yan Wang , Chen Zhou , Lingfeng Lu , Ze-Bing Zhou , T. Li , Tong Shi , Xin-Chun Hu , Ming-Yue Zhou , Ming Wang , Hsien-Chi Yeh , Han Wang , P. F. Chen

An interferometer design that cancels all displacement noises of its test masses and maintains a gravitational-wave (GW) signal by combining multiple detector signals is called a displacement noise-free interferometer (DFI). The idea has…

eLISA/NGO is a new gravitational wave detection proposal with arm length of 10^6 km and one interferometer down-scaled from LISA. Just like LISA and ASTROD-GW, in order to attain the requisite sensitivity for eLISA/NGO, laser frequency…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Gang Wang , Wei-Tou Ni

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

Space-borne gravitational-wave telescopes are key to extend the observation band below $10\,\mathrm{Hz}$. The use of inter-satellite optical cavities linked by heterodyne interferometry is a promising approach to reach the sensitivity level…

Instrumentation and Methods for Astrophysics · Physics 2026-04-21 Yutaro Enomoto , Subaru Shibai , Kiwamu Izumi

TianQin is a proposed space-based mission for gravitational wave detection, employing a constellation of three drag-free satellites in high Earth orbits to form a laser interferometric observatory. A critical technical challenge is…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yuzhou Fang , Dexuan Zhang , Dezhi Wang , Xuefeng Zhang , Huizong Duan , Hongyin Li , Junxiang Lian , Guoying Zhao

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
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