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Time-Delay Interferometry (TDI) is the data processing technique that cancels the large laser phase fluctuations affecting the one-way Doppler measurements made by unequal-arm space-based gravitational wave interferometers. In a previous…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Massimo Tinto , Sanjeev Dhurandhar

The Laser Interferometer Space Antenna (LISA) is a European Space Agency mission that aims to measure gravitational waves in the millihertz range. Laser frequency noise enters the interferometric measurements and dominates the expected…

Instrumentation and Methods for Astrophysics · Physics 2020-05-22 Jean-Baptiste Bayle , Marc Lilley , Antoine Petiteau , Hubert Halloin

The future space-based gravitational wave observatory LISA will consist of a constellation of three spacecraft in a triangular constellation, connected by laser interferometers with 2.5 million-kilometer arms. Among other challenges, the…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Quentin Baghi , James Ira Thorpe , Jacob Slutsky , John Baker

Time-Delay Interferometry (TDI) is the data processing technique that cancels the large laser phase fluctuations affecting the heterodyne Doppler measurements made by unequal-arm space-based gravitational wave interferometers. The space of…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Massimo Tinto , Sanjeev Dhurandhar , Dishari Malakar

The LFI (Low Frequency Instrument) on board the ESA Planck satellite is constituted by an array of radiometric detectors actively cooled at 20 K in the 30-70 GHz frequency range in the focal plane of the Planck telescope. In this paper we…

Traceability of precision instrument and measuring method is the core issue in metrology science. In the field of nanometer length measurement, the laser interferometers are usually used to trace the measurement value to the laser…

Quadriwave lateral shearing interferometry (QLSI) is a quantitative phase imaging technique based on the use of a diffraction grating placed in front of a camera. This grating creates a wire-mesh-like image, called an interferogram, that is…

Optics · Physics 2022-03-15 Guillaume Baffou

Several types of Wavefront Sensors (WFS) are nowadays available in the field of Adaptive Optics (AO). Generally speaking, their basic principle consists in measuring slopes or curvatures of Wavefront Errors (WFE) transmitted by a telescope,…

Optics · Physics 2011-05-17 Francois Henault

The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Andrea Virtuoso , Edoardo Milotti

We propose a set of experiments in which Ramsey-fringe techniques are tailored to probe transitions originating and terminating on the same ground state level. When pulses of resonant radiation, separated by a time delay $% T, $ interact…

Atomic Physics · Physics 2007-05-23 Tycho Sleator , Paul R. Berman , Boris Dubetsky

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

Time-delay interferometry (TDI) is a post-processing technique used to reduce laser noise in heterodyne interferometric measurements with unequal armlengths, a situation characteristic of space gravitational detectors such as Laser…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Jean-Baptiste Bayle , Olaf Hartwig , Martin Staab

GRAVITY is a new instrument to coherently combine the light of the European Southern Observatory Very Large Telescope Interferometer to form a telescope with an equivalent 130 m diameter angular resolution and a collecting area of 200…

Instrumentation and Methods for Astrophysics · Physics 2017-06-21 GRAVITY Collaboration , R. Abuter , M. Accardo , A. Amorim , N. Anugu , G. Ávila , N. Azouaoui , M. Benisty , J. P. Berger , N. Blind , H. Bonnet , P. Bourget , W. Brandner , R. Brast , A. Buron , L. Burtscher , F. Cassaing , F. Chapron , É. Choquet , Y. Clénet , C. Collin , V. Coudé du Foresto , W. de Wit , P. T. de Zeeuw , C. Deen , F. Delplancke-Ströbele , R. Dembet , F. Derie , J. Dexter , G. Duvert , M. Ebert , A. Eckart , F. Eisenhauer , M. Esselborn , P. Fédou , G. Finger , P. Garcia , C. E. Garcia Dabo , R. Garcia Lopez , E. Gendron , R. Genzel , S. Gillessen , F. Gonte , P. Gordo , M. Grould , U. Grözinger , S. Guieu , P. Haguenauer , O. Hans , X. Haubois , M. Haug , F. Haussmann , Th. Henning , S. Hippler , M. Horrobin , A. Huber , Z. Hubert , N. Hubin , C. A. Hummel , G. Jakob , A. Janssen , L. Jochum , L. Jocou , A. Kaufer , S. Kellner , L. Kern , P. Kervella , M. Kiekebusch , R. Klein , Y. Kok , J. Kolb , M. Kulas , S. Lacour , V. Lapeyrère , B. Lazareff , J. -B. Le Bouquin , P. Lèna , R. Lenzen , S. Lévêque , M. Lippa , Y. Magnard , L. Mehrgan , M. Mellein , A. Mérand , J. Moreno-Ventas , T. Moulin , E. Müller , F. Müller , U. Neumann , S. Oberti , T. Ott , L. Pallanca , J. Panduro , L. Pasquini , T. Paumard , I. Percheron , K. Perraut , G. Perrin , A. Pflüger , O. Pfuhl , T. Phan Duc , P. M. Plewa , D. Popovic , S. Rabien , A. Ramírez , J. Ramos , C. Rau , M. Riquelme , R. -R. Rohloff , G. Rousset , J. Sanchez-Bermudez , S. Scheithauer , M. Schöller , N. Schuhler , J. Spyromilio , C. Straubmeier , E. Sturm , M. Suarez , K. R. W. Tristram , N. Ventura , F. Vincent , I. Waisberg , I. Wank , J. Weber , E. Wieprecht , M. Wiest , E. Wiezorrek , M. Wittkowski , J. Woillez , B. Wolff , S. Yazici , D. Ziegler , G. Zins

Spaceborne gravitational-wave observatories utilize a postprocessing technique known as time-delay interferometry (TDI) to reduce the otherwise overwhelming laser frequency noise by around 8 orders of magnitude. While, in its traditional…

Instrumentation and Methods for Astrophysics · Physics 2025-06-11 Kohei Yamamoto , Jan Niklas Reinhardt , Olaf Hartwig

We present a description of the pipeline used to calibrate the Planck Low Frequency Instrument (LFI) timelines into thermodynamic temperatures for the Planck 2015 data release, covering four years of uninterrupted operations. As in the 2013…

Instrumentation and Methods for Astrophysics · Physics 2016-09-21 Planck Collaboration , P. A. R. Ade , N. Aghanim , M. Ashdown , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , N. Bartolo , P. Battaglia , E. Battaner , K. Benabed , A. Benoît , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , A. Chamballu , P. R. Christensen , S. Colombi , L. P. L. Colombo , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Doré , M. Douspis , A. Ducout , X. Dupac , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , J. Fergusson , F. Finelli , O. Forni , M. Frailis , E. Franceschi , A. Frejsel , S. Galeotta , S. Galli , K. Ganga , M. Giard , Y. Giraud-Héraud , E. Gjerløw , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , F. K. Hansen , D. Hanson , D. L. Harrison , S. Henrot-Versillé , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , G. Hurier , A. H. Jaffe , T. R. Jaffe , M. Juvela , E. Keihänen , R. Keskitalo , T. S. Kisner , J. Knoche , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , J. P. Leahy , R. Leonardi , J. Lesgourgues , F. Levrier , M. Liguori , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , M. Maris , P. G. Martin , E. Martínez-González , S. Masi , S. Matarrese , P. McGehee , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , D. Novikov , I. Novikov , F. Paci , L. Pagano , F. Pajot , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , T. J. Pearson , M. Peel , O. Perdereau , L. Perotto , F. Perrotta , V. Pettorino , F. Piacentini , E. Pierpaoli , D. Pietrobon , E. Pointecouteau , G. Polenta , G. W. Pratt , G. Prézeau , S. Prunet , J. -L. Puget , J. P. Rachen , R. Rebolo , M. Reinecke , M. Remazeilles , A. Renzi , G. Rocha , E. Romelli , C. Rosset , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , V. Stolyarov , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , D. Tavagnacco , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , M. Türler , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , T. Vassallo , P. Vielva , F. Villa , L. A. Wade , B. D. Wandelt , R. Watson , I. K. Wehus , A. Wilkinson , D. Yvon , A. Zacchei , A. Zonca

The Laser Interferometer Space Antenna (LISA) will open the mHz frequency window of the gravitational wave (GW) landscape. Among all the new GW sources expected to emit in this frequency band, extreme mass-ratio inspirals (EMRIs) constitute…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Danny Laghi , Nicola Tamanini , Walter Del Pozzo , Alberto Sesana , Jonathan Gair , Stanislav Babak , David Izquierdo-Villalba

Laser interferometer response to a plane gravitational wave on the Minkowski background is given. The derivation does not assume any particular gauge within a class compatible with almost Minkowskian coordinates that preserve a plane wave…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Arkadiusz Błaut

The Taiji mission, a pioneering Chinese space-borne gravitational wave observatory, requires ultra-precise calibration of its gravitational reference sensors (GRSs) to achieve its targeted sensitivity of $3\times10^{-15} \mathrm{\ m\…

Instrumentation and Methods for Astrophysics · Physics 2026-04-20 Haoyue Zhang , Chang Liu , Xiaotong Wei , Peng Xu , Li-E Qiang , Ziren Luo , Ye Dong

Time-delay interferometry (TDI) is a data processing technique for space-based gravitational-wave detectors to create laser-noise-free equal-optical-path-length interferometers virtually on the ground. It relies on the interspacecraft…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Jan Niklas Reinhardt , Philipp Euringer , Olaf Hartwig , Gerald Hechenblaikner , Gerhard Heinzel , Kohei Yamamoto

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