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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

This chapter reviews the fundamentals of continuous and discrete Linear Time-Invariant (LTI) systems with Single Input-Single Output (SISO). We start from the general notions of signals and systems, the signal representation problem and the…

Optimization and Control · Mathematics 2022-08-26 Miguel A. Mendez

Tilt-to-length (TTL) noise, caused by angular jitter and misalignment, is a major noise source in the inter-satellite interferometer for gravitational wave detection. However, the required level of axis alignment of the optical components…

Instrumentation and Detectors · Physics 2025-04-11 Peng Qiu , Xiang Lin , Yurong Liang , Hao Yan , Haixing Miao , Zebing Zhou

The current design of space-based gravitational wave detectors utilizes heterodyne laser interferometry in inter-satellite science measurements. Frequency variations of the heterodyne beatnotes are predominantly caused by the Doppler effect…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Lu Zheng , Shutao Yang , Xuefeng Zhang

Forthcoming space-based gravitational-wave (GW) detectors will employ second-generation time-delay interferometry (TDI) to suppress laser frequency noise and achieve the sensitivity required for GW detection. We introduce an inverse…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Chunyu Zhang

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

LISA Pathfinder (LPF), ESA's precursor mission to a gravitational wave observatory, will measure the degree to which two test-masses can be put into free-fall, aiming to demonstrate a residual relative acceleration with a power spectral…

The drag-free satellites of LISA will maintain the test masses in geodesic motion over many years with residual accelerations at unprecedented small levels and time delay interferometry (TDI) will keep track of their differential positions…

General Relativity and Quantum Cosmology · Physics 2014-11-18 M. Cerdonio , R. De Pietri , Ph. Jetzer , M. Sereno

Laser frequency stabilization is a critical part of the interferometry measurement system of space-based gravitational wave observatories such as the Laser Interferometer Space Antenna (LISA). Arm locking as a proposed frequency…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Yinan Yu , Shawn Mitryk , Guido Mueller

The Laser Interferometer Space Antenna (LISA) mission features a three-spacecraft long-arm constellation intended to detect gravitational wave sources in the low-frequency band up to 1 Hz via laser interferometry. The paper presents an…

Instrumentation and Detectors · Physics 2022-08-24 Niklas Houba , Simon Delchambre , Tobias Ziegler , Gerald Hechenblaikner , Walter Fichter

LISA (Laser Interferometer Space Antenna) is a proposed space mission, which will use coherent laser beams exchanged between three remote spacecraft to detect and study low-frequency cosmic gravitational radiation. In the low-part of its…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeffrey A. Edlund , Massimo Tinto , Andrzej Królak , Gijs Nelemans

We present the basic elements and first results of an end-to-end simulation package whose purpose is to test the validity of the Space Interferometer Mission design. The fundamental simulation time step is one millisecond, with substructure…

Astrophysics · Physics 2009-11-10 David L. Meier , William M. Folkner

We propose Laplacian In-context Spectral Analysis (LISA), a method for inference-time adaptation of Laplacian-based time-series models using only an observed prefix. LISA combines delay-coordinate embeddings and Laplacian spectral learning…

Machine Learning · Computer Science 2026-02-06 Julio Candanedo

Tilt-to-length coupling was the limiting noise source in LISA Pathfinder between 20 and 200 mHz before subtraction in post-processing. To prevent the adding of sensing noise to the data by the subtraction process, the success of this…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Marie-Sophie Hartig , Gudrun Wanner

Low-noise temperature measurements at frequencies in the milli-Hertz range are needed in the LISA and LISA PathFinder (LPF). The required temperature stability for LISA is around 10 uK/sqrt(Hz) at frequencies down to 0.1 mHz. In this paper…

General Relativity and Quantum Cosmology · Physics 2010-02-25 J. Sanjuan , A. Lobo , J. Ramos-Castro

The aim of the Laser Interferometer Space Antenna (LISA) is to detect gravitational waves through a phase modulation in long (2.5 Mkm) laser light links between spacecraft. Among other noise sources to be addressed are the phase…

General Relativity and Quantum Cosmology · Physics 2020-06-14 Jean-Yves Vinet , Nelson Christensen , Nicoleta Dinu-Jaeger , Michel Lintz , Nary Man , Mikhaël Pichot

We present an in-depth analysis of the LISA Pathfinder differential acceleration performance over the entire course of its science operations, spanning approximately 500 days. We find that: 1) the evolution of the Brownian noise that…

The Laser Interferometer Space Antenna (LISA) mission is being developed by ESA with NASA participation. As it has recently passed the Mission Adoption milestone, models of the instruments and noise performance are becoming more detailed,…

A main scientific output of the LISA Pathfinder mission is to provide a noise model that can be extended to the future gravitational wave observatory, LISA. The success of the mission depends thus upon a deep understanding of the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 M. Nofrarias , C. Röver , M. Hewitson , A. Monsky , G. Heinzel , K. Danzmann , L. Ferraioli , M. Hueller , S. Vitale