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Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

We treat the problem of a Michelson interferometer in the field of a plane gravitational wave in the framework of general relativity. The arms of the interferometer are regarded as the world lines of the light beams, whose motion is…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Nikodem J. Poplawski

Gravitational waves from the coalescence of compact binaries, together with an associated electromagnetic counterpart, are ideal probes of cosmological models. As demonstrated with GW170817, such multimessenger observations allow one to use…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-16 E. Chassande-Mottin , K. Leyde , S. Mastrogiovanni , D. A. Steer

The photon motion in a Michelson interferometer is re-analyzed in both geometrical optics and wave optics. The classical paths of the photons in the background of gravitational wave are derived from Fermat principle, which is the same as…

General Relativity and Quantum Cosmology · Physics 2016-12-22 Zhe Chang , Chao-Guang Huang , Zhi-Chao Zhao

Time-delay interferometry is put forward to improve the signal-to-noise ratio of space-borne gravitational wave detectors by canceling the large laser phase noise with different combinations of measured data. Based on the Michelson data…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Xiao-Yu Lu , Yu-Jie Tan , Cheng-Gang Shao

The aim of this paper is to show the gauge-invariance on the response of interferometers to gravitational waves (GWs). In this process, after a review of results on the Tranverse-Traceless (TT) gauge, where, in general, the theoretical…

General Relativity and Quantum Cosmology · Physics 2011-03-25 Christian Corda

Several km-scale gravitational-wave detectors have been constructed world wide. These instruments combine a number of advanced technologies to push the limits of precision length measurement. The core devices are laser interferometers of a…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Charlotte Bond , Daniel Brown , Andreas Freise , Kenneth Strain

A common misconception about laser interferometric detectors of gravitational waves purports that, because the wavelength of laser light and the length of an interferometer's arm are both stretched by a gravitational wave, no effect should…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Valerio Faraoni

Planning is underway for several space-borne gravitational wave observatories to be built in the next ten to twenty years. Realistic and efficient forward modeling will play a key role in the design and operation of these observatories.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Louis J. Rubbo , Neil J. Cornish , Olivier Poujade

We report for the first time general geometrical expressions for the angular resolution of an arbitrary network of interferometric gravitational-wave (GW) detectors when the arrival-time of a GW is unknown. We show explicitly elements that…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Linqing Wen , Yanbei Chen

Advanced gravitational-wave detectors that have made groundbreaking discoveries are Michelson interferometers with resonating optical cavities as their arms. As light travels at finite speed, these cavities are optimal for enhancing signals…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Teng Zhang , Huan Yang , Denis Martynov , Patricia Schmidt , Haixing Miao

This paper deals with the reconstruction of the direction of a gravitational wave source using the detection made by a network of interferometric detectors, mainly the LIGO and Virgo detectors. We suppose that an event has been seen in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Cavalier , M. Barsuglia , M. -A. Bizouard , V. Brisson , A. -C. Clapson , M. Davier , P. Hello , S. Kreckelbergh , N. Leroy , M. Varvella

The possibility of measuring the second order correlation function of the gravitational waves detectors' currents or photonumbers, and the observation of the gravitational signals by using a spectrum analyzer is discussed. The method is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Y. Ben-Aryeh

An incoming gravity wave being a stress wave is a surface with intrinsic curvature. When a light beam is parallel transported on this non-Euclidian surface it acquires an excess phase which accumulates with each curcuit. We calculate the…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Munawar Karim , Kris Green

A laser interferometric detector of gravitational waves is studied and a complete solution (to first order in the metric perturbation) of the coupled Einstein-Maxwell equations with appropriate boundary conditions for the light beams is…

Astrophysics · Physics 2010-04-06 F. I. Cooperstock , V. Faraoni

We report for the first time a method-independent geometrical expression for the angular resolution of an arbitrary network of interferometric gravitational wave (GW) detectors when the arrival-time of a GW is unknown. We discuss the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Linqing Wen , Xilong Fan , Yanbei Chen

We analyze the response of the gravitational wave detector to a scalar massive plane gravitational wave. We give the compact form of the response and discuss its angular and frequency characteristics. The derivations is carried out in the…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Arkadiusz Błaut

Laser interferometer detectors are now widely used in an attempt to detect gravitational waves (gw). The interaction of the gw with the light circulating in the interferometer is usually explained in terms of the motion of the "free"…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Adrian Melissinos , Ashok Das

Calibration errors in the response function of a gravitational wave detector degrade its ability to detect and then to measure the properties of any detected signals. This paper derives the needed levels of calibration accuracy for each of…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Lee Lindblom

We analyse the response of laser interferometric gravitational wave detectors using the full Maxwell equations in curved spacetime in the presence of weak gravitational waves. Existence and uniqueness of solutions is ensured by setting up a…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Thomas Mieling , Piotr T. Chruściel , Stefan Palenta