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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

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

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

Cancellation of laser frequency noise in interferometers is crucial for attaining the requisite sensitivity of the triangular 3-spacecraft LISA configuration. Raw laser noise is several orders of magnitude above the other noises and thus it…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. V. Dhurandhar , K. Rajesh Nayak , J-Y. Vinet

Tilt-to-length (TTL) noise induced by angular jitter of spacecraft and test masses can affect the sensitivity of space-based gravitational-wave detectors such as LISA, Taiji, and TianQin. Such angular jitter can be measured using the…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Xue Wang , Gang Wang

We explore the impact of choosing different sets of Time-Delay Interferometry (TDI) variables for detecting and reconstructing Stochastic Gravitational Wave Background (SGWB) signals and estimating the instrumental noise in LISA. Most works…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Olaf Hartwig , Marc Lilley , Martina Muratore , Mauro Pieroni

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

High-precision interpolation of LISA phase measurements allows signal reconstruction and formulation of Time-Delay Interferometry (TDI) combinations to be conducted in post-processing. The reconstruction is based on phase measurements made…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. A. Shaddock , B. Ware , R. E. Spero , M. Vallisneri

LISA is a joint space mission of the NASA and the ESA for detecting low frequency gravitational waves 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 2008-12-18 S. V. Dhurandhar , J-Y. Vinet , K. Rajesh Nayak

The Taiji mission for space-based gravitational wave (GW) detection employs laser interferometry to measure picometer-scale distance variations induced by GWs. The tilt-to-length (TTL) coupling noise in the inter-spacecraft interferometers,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Qiong Deng , Leiqiao Ye , Ke An , Yidi Fan , Ruihong Gao , Ziren Luo , Minghui Du , Pengcheng Wang , Peng Xu

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

A common problem to signal processing are biases introduced by correlated noise. When quantifying time delays between two signals, mixed noise introduces a bias towards zero delay in conventional delay estimates based on the cross- or…

Signal Processing · Electrical Eng. & Systems 2025-06-02 Tin Jurhar , Franziska Pellegrini , Ana I. Nuñes del Toro , Tilman Stephani , Guido Nolte , Stefan Haufe

In an effort to eliminate laser phase noise in laser interferometer spaceborne gravitational wave detectors, several combinations of signals have been found that allow the laser noise to be canceled out while gravitational wave signals…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Neil J. Cornish , Ronald W. Hellings

Tilts of certain elements within a laser interferometer can undesirably couple into measurements as a form of noise, known as tilt-to-length (TTL) coupling. This TTL coupling is anticipated to be one of the primary noise sources in the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Henry Wegener , Sarah Paczkowski , Marie-Sophie Hartig , Martin Hewitson , Gerhard Heinzel , Gudrun Wanner

For given laser output power, object under investigation and photodiode noise level, we have theoretically compared the signal to noise ratio (SNR) of a heterodyne scanning imager based on a Michelson interferometer and of an autodyne setup…

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

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

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

This article investigates the noise performance of a two-element phased array and interferometer containing a recently introduced self-interference canceler, which in the context of this work acts as a mutual-coupling canceler. To this end,…

Signal Processing · Electrical Eng. & Systems 2025-04-03 Leonid Belostotski , Adrian T. Sutinjo , Ravi Subrahmanyan , Soumyajit Mandal , Arjuna Madanayake

An accurate measurement of the bunching of photons in the fluorescent emission from an ultracold ensemble of thermal 87Rb atoms in a steady-state magneto-optical trap is presented. Time-delayed-intensity-interferometry (TDII) performed with…

Atomic Physics · Physics 2015-02-24 Muhammed Shafi K. , Deepak Pandey , Buti Suryabrahmam , B. S. Girish , Hema Ramachandran
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