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The joint NASA-ESA mission LISA relies crucially on the stability of the three spacecraft constellation. All three spacecraft are on heliocentric and weakly eccentric orbits forming a stable triangle. It has been shown that for certain…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. Rajesh Nayak , S. Koshti , S. V. Dhurandhar , J-Y. Vinet

Time-delay interferometry (TDI) is a crucial step in the on-ground data processing pipeline of the Laser Interferometer Space Antenna (LISA), as it reduces otherwise overwhelming laser noise and allows for the detection of gravitational…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Martin Staab , Marc Lilley , Jean-Baptiste Bayle , Olaf Hartwig

Heterodyne interferometry for precision science often comes with an optical phase modulation, for example, for intersatellite clock noise transfer for gravitational wave (GW) detectors in space, exemplified by the Laser Interferometer Space…

Instrumentation and Methods for Astrophysics · Physics 2025-12-22 Kohei Yamamoto , Olaf Hartwig , Lennart Wissel , Holly Leopardi , Kenji Numata , Ryan Derosa

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

We anticipate noise from the Laser Interferometer Space Antenna (LISA) will exhibit nonstationarities throughout the duration of its mission due to factors such as antenna repointing, cyclostationarities from spacecraft motion, and glitches…

General Relativity and Quantum Cosmology · Physics 2020-10-29 Matthew C. Edwards , Patricio Maturana-Russel , Renate Meyer , Jonathan Gair , Natalia Korsakova , Nelson Christensen

The Laser Interferometer Lunar Antenna (LILA) presents a novel concept for observing gravitational waves from astrophysical sources at sub-Hertz frequencies. Compared to the Earth, the seismic environment of the moon, while uncertain, is…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Brett N. Shapiro

We calculate the angular resolution of the planned LISA detector, a space-based laser interferometer for measuring low-frequency gravitational waves from galactic and extragalactic sources. LISA is not a pointed instrument; it is an all-sky…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Curt Cutler

Timescale comparison between optical atomic clocks over ground-to-space and terrestrial free-space laser links will have enormous benefits for fundamental and applied science, from measurements of fundamental constants and searches for dark…

The Laser Interferometer Space Antenna will detect gravitational waves with frequencies from 0.1 mHz to 1 Hz. This article provides a brief overview of LISA's science goals followed by a tutorial of the LISA measurement concept.

General Relativity and Quantum Cosmology · Physics 2010-03-25 Daniel A. Shaddock

The LISA telescopes must exhibit an optical path length stability of $\frac{\mathrm{pm}}{\sqrt{\mathrm{Hz}}}$ in the mHz observation band to meet mission requirements. The optical truss interferometer is a proposed method to aid in the…

Optics · Physics 2023-07-25 Kylan Jersey , Ian Harley-Trochimczyk , Yanqi Zhang , Felipe Guzman

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 Laser Ranging Interferometer (LRI) instrument on the Gravity Recovery and Climate Experiment (GRACE) Follow-On mission has provided the first laser interferometric range measurements between remote spacecraft, separated by approximately…

Instrumentation and Methods for Astrophysics · Physics 2019-07-23 Klaus Abich , Claus Braxmaier , Martin Gohlke , Josep Sanjuan , Alexander Abramovici , Brian Bachman Okihiro , David C. Barr , Maxime P. Bize , Michael J. Burke , Ken C. Clark , Glenn de Vine , Jeffrey A. Dickson , Serge Dubovitsky , William M. Folkner , Samuel Francis , Martin S. Gilbert , Mark Katsumura , William Klipstein , Kameron Larsen , Carl Christian Liebe , Jehhal Liu , Kirk McKenzie , Phillip R. Morton , Alexander T. Murray , Don J. Nguyen , Joshua A. Ravich , Daniel Shaddock , Robert Spero , Gary Spiers , Andrew Sutton , Joseph Trinh , Duo Wang , Rabi T. Wang , Brent Ware , Christopher Woodruff , Bengie Amparan , Mike A. Davis , James Howell , Micah Kruger , Lynette Lobmeyer , Robert Pierce , Gretchen Reavis , Michael Sileo , Michelle Stephens , Andreas Baatzsch , Christian Dahl , Katrin Dahl , Frank Gilles , Philipp Hager , Mark Herding , Marina Kaufer , Kolja Nicklaus , Kai Voss , Christina Bogan , Karsten Danzmann , Germán Fernández Barranco , Gerhard Heinzel , Alexander Koch , Christoph Mahrdt , Malte Misfeldt , Vitali Müller , Jens Reiche , Daniel Schütze , Benjamin Sheard , Gunnar Stede , Henry Wegener , Andreas Eckardt , Burghardt Guenther , Thomas Mangoldt , Bernd Zender , Thomas Ester , Frank Heine , Christoph Seiter , Steve Windisch , Reinhold Flatscher , Frank Flechtner , Nicolas Grossard , Jerome Hauden , Martin Hinz , Thomas Leikert , Marcus Zimmermann , Anton Lebeda , Arnold Lebeda

We have developed a senior undergraduate experiment that illustrates frequency stabilization techniques using radio-frequency electronics. The primary objective is to frequency stabilize a voltage controlled oscillator to a cavity resonance…

Physics Education · Physics 2012-02-24 C. E. Liekhus-Schmaltz , J. D. D. Martin

The sound speed of dark energy encodes fundamental information about the microphysics underlying cosmic acceleration, yet remains essentially unconstrained by existing observations. We demonstrate that a lunar-based laser interferometer,…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-30 Alfredo Gurrola , Robert J. Scherrer , Oem Trivedi

Laser synchronization is a technique that locks the wavelength of a free-running laser to that of the reference laser, thereby enabling synchronous changes in the wavelengths of the two lasers. This technique is of crucial importance in…

Optics · Physics 2024-07-23 Mingwen Zhu , Shangsu Ding , Tianwei Jiang , Jianming Shang , Song Yu , Bin Luo

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

Spacetime fluctuations (SFs), a common feature of different proposed gravity models, could be detected using laser interferometers. In the search for SFs, a correspondence between the expected output signals and different gravity models is…

General Relativity and Quantum Cosmology · Physics 2026-03-03 B. Sharmila , Sander M. Vermeulen , Animesh Datta

Atmospheric water vapor causes significant undesired phase fluctuations for the Submillimeter Array (SMA) interferometer, particularly in its highest frequency observing band of 690 GHz. One proposed solution to this atmospheric effect is…

Astrophysics · Physics 2007-05-23 D. Y. Kubo , T. R. Hunter , R. D. Christensen , P. I. Yamaguchi

Guided-wave atom interferometers measure interference effects using atoms held in a confining potential. In one common implementation, the confinement is primarily two-dimensional, and the atoms move along the nearly free dimension under…

Atomic Physics · Physics 2009-11-13 J. H. T. Burke , B. Deissler , K. J. Hughes , C. A. Sackett

Wavelength stability of free-electron lasers (FELs) is one of the important parameters for various applications. In this paper we describe two different methods to diagnose the wavelength stability of a mid-infrared (MIR) FEL. The first one…