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The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Andrea Virtuoso , Edoardo Milotti

We report on three numerical experiments on the implementation of Time-Delay Interferometry (TDI) for LISA, performed with Synthetic LISA, a C++/Python package that we developed to simulate the LISA science process at the level of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Michele Vallisneri

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

Tilt-to-length (TTL) noise from angular jitter in LISA is projected to be the dominant noise source in the milli-Hertz band unless corrected in post-processing. The correction is only possible after removing the overwhelming laser phase…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Daniel George , Jose Sanjuan , Paul Fulda , Guido Mueller

Searches for gravitational waves with km-scale laser interferometers often involve the long-wavelength approximation to describe the detector response. The prevailing assumption is that the corrections to the detector response due to its…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Rakhmanov , J. D. Romano , J. T. Whelan

This paper presents a novel method for laser frequency stabilisation in the Laser Interferometer Space Antenna (LISA) mission by locking a laser to two stable length references - the arms of the interferometer and an on-board optical…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Jobin Thomas Valliyakalayil , Andrew J. H. Sutton , Robert E. Spero , Daniel A. Shaddock , Kirk McKenzie

We previously showed how the measurements of some eighteen time series of relative frequency or phase shifts could be combined (1) to cancel the phase noise of the lasers, (2) to cancel the Doppler fluctuations due to non-inertial motions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Massimo Tinto , John W. Armstrong , Frank B. Estabrook

For the LISA and Taiji missions, both transient and continuous data anomalies would pose significant challenges to the detection, estimation, and subsequent scientific interpretation of gravitational wave signals. As is indicated by the…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Pengzhan Wu , Minghui Du , Peng Xu

Time-delay interferometry (TDI) is a crucial technology for space-based gravitational wave detectors. Previous studies have identified the optimal TDI configuration for the first-generation. In this research, we used an Algebraic approach…

Instrumentation and Methods for Astrophysics · Physics 2023-04-28 Yu Tian , Zhi-Xiang Li

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 discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Chunyu Zhang , Qing Gao , Yungui Gong , Bin Wang , Alan J. Weinstein , Chao Zhang

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

Tilt-to-length (TTL) coupling in the Laser Interferometer Space Antenna (LISA) can generate spurious displacement noise that potentially affects the measurement of gravitational wave signals. In each test mass interferometer, the coupling…

Instrumentation and Methods for Astrophysics · Physics 2025-02-05 Paul Edwards , Megha Dave , Alexander Weaver , Mengyuan Zhao , Paul Fulda , Guido Mueller , Gudrun Wanner

We present a Fourier-domain approach to modulations and delays of gravitational wave signals, a problem which arises in two different contexts. For space-based detectors like LISA, the orbital motion of the detector introduces a…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Sylvain Marsat , John G. Baker

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2016-11-23 S. Nayeh , A. Latifi , S. Arbabi , M. Ghominejad

We address the two issues raised by Bayle, Vallisneri, Babak, and Petiteau (in their gr-qc document arXiv:2106.03976) about our matrix formulation of Time-Delay Interferometry (TDI) (arXiv:2105.02054) \cite{TDJ21}. In so doing we explain…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Massimo Tinto , Sanjeev Dhurandhar , Prasanna Joshi

The response of Michelson interferometers to weak plane gravitational waves is computed at one order of accuracy beyond the eikonal equation. The modulation of the electromagnetic field amplitude and polarisation are taken into account by…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Thomas Mieling

The discovery of interstellar communication signals is complicated by the presence of radio interference. Consequently, interstellar communication signals are hypothesized to have properties that favor discovery in high levels of local…

Signal Processing · Electrical Eng. & Systems 2021-06-21 William J. Crilly

Extraterrestrial communication signals are hypothesized to be present in an extensive search space. Using principles of communication theory and system design, methods are studied and implemented to reduce the signal search space, while…

Signal Processing · Electrical Eng. & Systems 2024-04-16 William J. Crilly

Obtaining lensing time delay measurements requires long-term monitoring campaigns with a high enough resolution (< 1 arcsec) to separate the multiple images. In the radio, a limited number of high-resolution interferometer arrays make these…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-21 G. Gurkan , N. Jackson , L. V. E. Koopmans , C. D. Fassnacht , A. Berciano Alba
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