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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 analyze detector responses of gravitational wave detectors for gravitational waves with arbitrary polarizations predicted in the metric theories of gravity. We present the general formulas for the frequency responses valid in various…

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

Space-based gravitational wave detection is based on the astrodynamical equations derived from gravitational theory to detect changes in distance between spacecraft/celestial bodies and/or their state changes caused by gravitational waves.…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Wei-Tou Ni

The derivation of the response function of an interferometric gravitational wave detector is a paradigmatic calculation in the field of gravitational wave detection. Surprisingly, the standard derivation of the response wave detectors makes…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Lee Samuel Finn

A new heterodyne detection method is suggested for detecting gravitational waves in a Michelson Interferometer. The method is based on interference between phase changes which are induced by a vibrating mirror with phase changes which are…

Quantum Physics · Physics 2007-05-23 Y. Ben-Aryeh

The basic constituent of interferometric gravitational wave detectors -- the test mass to test mass interferometric link -- behaves as a differential dynamometer measuring effective differential forces, comprising an integrated measure of…

General Relativity and Quantum Cosmology · Physics 2015-03-24 Giuseppe Congedo

We propose a new method to detect gravitational waves, based on spatial coherence interferometry with stellar light, as opposed to the conventional temporal coherence interferometry with laser sources. The proposed method detects…

High Energy Astrophysical Phenomena · Physics 2021-11-09 I. H. Park , K. -Y. Choi , J. Hwang , S. Jung , D. H. Kim , M. H. Kim , C. -H. Lee , K. H. Lee , S. H. Oh , M. -G. Park , S. C. Park , A. Pozanenko , C. D. Rho , N. Vedenkin , E. Won

The direct detection of gravitational waves by ground-based optical interferometers has opened a new window in astronomy. Nevertheless, as these detectors are a combination of two Michelson-Morley like baselines, their sensitivity for…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Mariateresa Crosta , Mario G. Lattanzi , Christophe Le Poncin-Lafitte , Mario Gai , Qi Zhaoxiang , Alberto Vecchiato

The diffraction patterns of lensed gravitational waves encode information about their propagation speeds. If gravitons have mass, the dispersion relation and speed of gravitational waves will be affected in a frequency-dependent manner,…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Ka-Wai Chung , Tjonnie Guang Feng Li

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

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 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

The orbital motion of the Laser Interferometer Space Antenna (LISA) introduces modulations into the observed gravitational wave signal. These modulations can be used to determine the location and orientation of a gravitational wave source.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neil J. Cornish , Louis J. Rubbo

In general relativity, there is no dispersion in gravitational waves, while some modified gravity theories predict dispersion phenomena in the propagation of gravitational waves. In this paper, we demonstrate that this dispersion will…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Shu-Cheng Yang , Wen-Biao Han , Shuo Xin , Chen Zhang

The inspiral range is the most common metric for characterizing the performance of ground-based gravitational-wave interferometers. However, there is no clear formalism for working with frequency-dependent inspiral range quantities. We…

Instrumentation and Methods for Astrophysics · Physics 2025-02-12 Derek Davis , Elenna Capote

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

We discuss a fast cross-Wigner transform based technique for detecting gravitational wave bursts, and estimating the direction of arrival, using a network of (three) non co-located interferometric detectors. The performances of the detector…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Rocco P. Croce , Vincenzo Pierro , Fabio Postiglione , Maria Principe , Innocenzo M. Pinto

We derive a lower bound on the sensitivity of generic mechanical and electromagnetic gravitational wave detectors. We consider both classical and quantum detection schemes, although we focus on the former. Our results allow for a simple…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Raffaele Tito D'Agnolo , Sebastian A. R. Ellis

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

Searches for gravitational wave signals which do not have a precise model describing the shape of their waveforms are often performed using power detectors based on a quadratic form of the data. A new, optimal method of generalizing these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Julien Sylvestre
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