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The Laser Interferometer Space Antenna (LISA) aims to observe gravitational waves in the mHz regime over its 10-year mission time. LISA will operate laser interferometers between three spacecrafts. Each spacecraft will utilize independent…

Instrumentation and Methods for Astrophysics · Physics 2022-03-03 Kohei Yamamoto , Christoph Vorndamme , Olaf Hartwig , Martin Staab , Thomas S. Schwarze , Gerhard Heinzel

In this paper, we describe a hybrid-extended Kalman filter algorithm to synchronize the clocks and to precisely determine the inter-spacecraft distances for space-based gravitational wave detectors, such as (e)LISA. According to the…

General Relativity and Quantum Cosmology · Physics 2014-09-17 Yan Wang , Gerhard Heinzel , Karsten Danzmann

Time-delay interferometry (TDI) is a data processing technique for LISA designed to suppress the otherwise overwhelming laser noise by several orders of magnitude. It is widely believed that TDI can only be applied once all phase or…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Olaf Hartwig , Jean-Baptiste Bayle , Martin Staab , Aurélien Hees , Marc Lilley , Peter Wolf

Space-based gravitational-wave observatories such as the Laser Interferometer Space Antenna (LISA) use time-shifted and time-scaled linear combinations of differential laser-phase beat signals to cancel the otherwise overwhelming laser…

Instrumentation and Methods for Astrophysics · Physics 2013-05-30 Shawn J. Mitryk , Josep Sanjuan , Guido Mueller

The Laser Interferometer Space Antenna (LISA) is a gravitational wave detector in space. It relies on a post-processing technique named time-delay interferometry (TDI) to suppress the overwhelming laser frequency noise by several orders of…

LISA is a joint space mission of the ESA and NASA for detecting low frequency gravitational radiation in the band $10^{-5} - 1$ Hz. In order to attain the requisite sensitivity for LISA, the laser frequency noise must be suppressed below…

General Relativity and Quantum Cosmology · Physics 2015-05-13 S. V. Dhurandhar

Space-borne interferometric gravitational-wave detectors, sensitive in the low-frequency (mHz) band, will fly in the next decade. In these detectors, the spacecraft-to-spacecraft light-travel times will necessarily be unequal and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Massimo Tinto , Michele Vallisneri , J. W. Armstrong

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

In the context of the Laser Interferometer Space Antenna (LISA), the laser subsystems exhibit frequency fluctuations that introduce significant levels of noise into the measurements, surpassing the gravitational wave signal by several…

Instrumentation and Detectors · Physics 2024-01-15 Philipp Euringer , Niklas Houba , Gerald Hechenblaikner , Oliver Mandel , Francis Soualle , Walter Fichter

The Laser Interferometer Space Antenna is a joint ESA-NASA space-mission to detect and study mHz cosmic gravitational waves. The trajectories followed by its three spacecraft result in unequal- and time-varying arms, requiring use of the…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Massimo Tinto , Olaf Hartwig

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

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

Clock synchronization is the backbone of applications such as high-accuracy satellite navigation, geolocation, space-based interferometry, and cryptographic communication systems. The high accuracy of synchronization needed over…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Thomas B. Bahder

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

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

LISA is an array of three spacecraft in an approximately equilateral triangle configuration which will be used as a low-frequency gravitational wave detector. We present here new generalizations of the Michelson- and Sagnac-type time-delay…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Daniel A. Shaddock , Massimo Tinto , Frank B. Estabrook , J. W. Armstrong

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

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

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), space-based gravitational wave observatory involves a complex multidimensional closed-loop dynamical system. Its instrument performance is expected to be less efficiently isolated from platform…

General Relativity and Quantum Cosmology · Physics 2023-09-05 Lavinia Heisenberg , Henri Inchauspé , Dam Quang Nam , Orion Sauter , Ricardo Waibel , Peter Wass
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