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The LISA mission is the future space-based gravitational wave (GW) observatory of the European Space Agency. It is formed by 3 spacecraft exchanging laser beams in order to form multiple real and virtual interferometers. The data streams to…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Dam Quang Nam , Yves Lemiere , Antoine Petiteau , Jean-Baptiste Bayle , Olaf Hartwig , Joseph Martino , Martin Staab

Inspired by the combinatorial algebraic approach proposed by Dhurandhar {\it et al.}, we propose two novel classes of second-generation time-delay interferometry (TDI) solutions and their further generalization. The primary strategy of the…

Instrumentation and Methods for Astrophysics · Physics 2023-07-19 Wei-Liang Qian , Pan-Pan Wang , Zhang-Qi Wu , Cheng-Gang Shao , Bin Wang , Rui-Hong Yue

TianQin is a proposed geocentric space-based gravitational wave observatory mission, which requires time-delay interferometry (TDI) to cancel laser frequency noise. With high demands for precision, solar-wind plasma environment at $\sim…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Yi-De Jing , Lu Zheng , Shutao Yang , Xuefeng Zhang , Lingfeng Lu , Binbin Tang , Wei Su

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

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

We report on the first demonstration of time-delay interferometry (TDI) for LISA, the Laser Interferometer Space Antenna. TDI was implemented in a laboratory experiment designed to mimic the noise couplings that will occur in LISA. TDI…

Instrumentation and Methods for Astrophysics · Physics 2015-03-17 Glenn de Vine , Brent Ware , Kirk McKenzie , Robert E. Spero , William M. Klipstein , Daniel A. Shaddock

In order to attain the requisite sensitivity for LISA - a joint space mission of the ESA and NASA- the laser frequency noise must be suppressed below the secondary noises such as the optical path noise, acceleration noise etc. By combining…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. V. Dhurandhar , K. Rajesh Nayak , J-Y. Vinet

Three spacecraft of LISA/TAIJI mission follow their respective geodesic trajectories, and their interferometric arms are unequal and time-varying due to orbital dynamics. Time-delay interferometry (TDI) is proposed to suppress the laser…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Gang Wang , Wei-Tou Ni

Many years of development have gone into producing instruments that meet the required noise performance of the LISA interferometric detection system. Concurrently, software simulations have been used to extensively develop the data analysis…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Reid Ferguson , Olaf Hartwig , Guido Mueller

Space-based gravitational wave detectors cannot keep rigid structures and precise arm length equality, so the precise equality of detector arms which is required in a ground-based interferometer to cancel the overwhelming laser noise is…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Chunyu Zhang , Qing Gao , Yungui Gong , Dicong Liang , Alan J. Weinstein , Chao Zhang

A crucial challenge to the ongoing endeavor of spaceborne gravitational wave (GW) detection resides in the laser phase noise, typically 7 to 8 orders of magnitude above the inevitable noise. The arm locking technique was proposed to…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Pan-Pan Wang , Wei-Liang Qian , Han-Zhong Wu , Yu-Jie Tan , Cheng-Gang Shao

With the purpose of understanding how time delay interferometry (TDI) combinations can best be used for the characterisation of LISA instrumental noise, we revisit their laser frequency noise cancellation properties. We have developed an…

Instrumentation and Methods for Astrophysics · Physics 2020-06-17 Martina Muratore , Daniele Vetrugno , Stefano Vitale

Previous work demonstrated effective laser frequency noise (LFN) suppression for Laser Interferometer Space Antenna (LISA) data from raw phasemeter measurements using a Markov Chain Monte Carlo (MCMC) algorithm with fractional delay…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Jessica Page , Tyson Littenberg

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 Interferometer Space Antenna (LISA), an ESA L-class mission, is designed to detect gravitational waves in the millihertz frequency band, with operations expected to begin in the next decade. LISA will enable studies of…

Instrumentation and Methods for Astrophysics · Physics 2024-12-31 Niklas Houba , Jean-Baptiste Bayle , Michele Vallisneri

We generalize the combinatorial algebraic approach first proposed by Dhurandhar et al. to construct various classes of modified second-generation time-delay interferometry (TDI) solutions. The main idea behind the algorithm is to enumerate,…

Instrumentation and Methods for Astrophysics · Physics 2023-02-15 Zhang-Qi Wu , Pan-Pan Wang , Wei-Liang Qian , Cheng-Gang Shao

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

Clock noise is one of the dominant noises in the space-borne gravitational wave (GW) detection. To suppress this noise, the clock noise-calibrated time-delay-interferometry (TDI) technique is proposed. In this technique, an inter-spacecraft…

Instrumentation and Methods for Astrophysics · Physics 2023-10-31 Mingyang Xu , Yujie Tan , Hanzhong Wu , Panpan Wang , Hao Yan , Yurong Liang , Chenggang Shao

We introduce a generic algorithm to determine the time delays and spacecraft (S/C) positions to compose any time-delay interferometry (TDI) channel in the dynamical case and evaluate its sensitivity by using a full numerical method. We…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Gang Wang , Wei-Tou Ni , Wen-Biao Han , Cong-Feng Qiao

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…