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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

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

Time delay interferometry (TDI) is essential for suppressing laser frequency noise and achieving the targeted sensitivity for space-borne gravitational wave (GW) missions. In Paper I, we examined the performance of the fiducial…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Gang Wang

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

In this work, we have built an experimental setup to simulate the clock noise transmission with two spacecrafts and two optical links, and further demonstrated the extraction of picometer level signal drowned by the large laser frequency…

Instrumentation and Methods for Astrophysics · Physics 2023-10-31 Mingyang Xu , Yujie Tan , Yurong Liang , Jiawen Zhi , Xiaoyang Guo , Dan Luo , Panpan Wang , Hanzhong Wu , 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

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

Time-delay interferometry (TDI) suppresses laser frequency noise by forming linear combinations of time-shifted interferometric measurements. The time-shift operation is implemented by interpolating discretely sampled data. To enable…

Instrumentation and Methods for Astrophysics · Physics 2025-06-16 Martin Staab , Jean-Baptiste Bayle , Olaf Hartwig , Aurélien Hees , Marc Lilley , Graham Woan , Peter Wolf

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

The LISA mission will likely be a signal dominated detector, such that one challenge is the separation of the different astrophysical sources, and to distinguish between them and the instrumental noise. One of the goals of LISA is to probe…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Martina Muratore , Daniele Vetrugno , Stefano Vitale , Olaf Hartwig

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

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

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

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

LISA will detect gravitational waves (GWs) in the milli-Hz frequency band in space. Time-delay interferometry (TDI) is developed to suppress laser frequency noise beneath the acceleration noise and optical metrology noise. To identify…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Gang Wang , Bin Li , Peng Xu , Xilong Fan

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

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

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

The Laser Interferometer Space Antenna (LISA) is a European Space Agency mission that aims to measure gravitational waves in the millihertz range. The three-spacecraft constellation forms a nearly-equilateral triangle, which experiences…

Instrumentation and Methods for Astrophysics · Physics 2021-07-07 Olaf Hartwig , Jean-Baptiste Bayle

The success of LISA Pathfinder in demonstrating the LISA drag-free requirement paved the road of using space missions for detecting low-frequency and middle-frequency GWs. The new LISA GW mission proposes to use arm length of 2.5 Gm (1 Gm =…

Instrumentation and Methods for Astrophysics · Physics 2020-06-26 Gang Wang , Wei-Tou Ni