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A derivation of the optical axis lenght fluctations due by tilts of the mirrors of the Fabry-Perot cavity of long-baseline interferometers for the detection of gravitational waves in presence of the gravitational field of the earth is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 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

Silicon double paddle oscillators are well suited for the detection of weak forces because of their high Q factor (about 10^5 at room temperature). We describe an experiment aimed at the detection of gravitational forces between masses at…

High Energy Physics - Phenomenology · Physics 2016-11-09 L. Haiberger , M. Weingran , H. Wenz , S. Schiller

The thermal noise is expected to be one of the main limiting factors on the sensitivity of interferometric gravitational-wave detectors like LIGO and VIRGO. Thermal fluctuations of internal modes of the interferometer's test masses and of…

Instrumentation and Detectors · Physics 2007-05-23 Constantin Brif

We consider a recent scheme of gravitational wave detection using atomic interferometers as inertial sensors, and reinvestigate its configuration using the concept of sensitivity functions. We show that such configuration can suppress noise…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Biao Tang , Baocheng Zhang , Lin Zhou , Jin Wang , Mingsheng Zhan

We explain simple laboratory experiments for making quantitative measurements of the Doppler effect from sources with acceleration. We analyze the spectra and clarify the conditions for the Doppler effect to be experimentally measurable,…

Physics Education · Physics 2009-11-20 Kenichiro Aoki , Takahisa Mitsui , Yuki Yamamoto

Accumulation of electrical charge on the end mirrors of gravitational wave observatories, such as the space-based LISA mission and ground-based LIGO detectors, can become a source of noise limiting the sensitivity of such detectors through…

General Relativity and Quantum Cosmology · Physics 2010-04-21 S. E. Pollack , M. D. Turner , S. Schlamminger , C. A. Hagedorn , J. H. Gundlach

The Newtonian constant of gravitation $G$ historically has the largest relative uncertainty over all other fundamental constants with some discrepancies in values between different measurements. We propose a new scheme to measure $G$ by…

Instrumentation and Detectors · Physics 2020-03-02 Akio Kawasaki

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

Gravitational waves are perturbations of the metric of space-time. Six polarizations are possible, although general relativity predicts that only two such polarizations, tensor plus and tensor cross are present for gravitational waves. We…

General Relativity and Quantum Cosmology · Physics 2019-05-16 Dicong Liang , Yungui Gong , Alan J. Weinstein , Chao Zhang , Chunyu Zhang

We consider the prospects for detecting weak gravitational lensing by underdensities (voids) in the large-scale matter distribution. We derive the basic expressions for magnification and distortion by spherical voids. Clustering of the…

Astrophysics · Physics 2009-09-25 Luca Amendola , Joshua A. Frieman , Ioav Waga

We analyze the possibility of detecting, with optical methods, particle and photon trajectories predicted by general relativity for a weak spherically-symmetric gravitational field. We discuss the required sensitivities and the possibility…

General Relativity and Quantum Cosmology · Physics 2015-06-25 B. Preziosi , G. M. Tino

A new approach to the measurement of gravitational fields with an equilibrium ensemble of ultra-cold alkali atoms confined in a cell of volume $V$ is investigated. The proposed model of the gravitational sensor is based on a variation of…

Quantum Physics · Physics 2009-11-11 Igor Kulikov

Gravity is the weakest fundamental interaction and the only one that has not been measured at the particle level. Traditional experimental methods, from astronomical observations to torsion balances, use macroscopic masses to both source…

High precision interferometers such as gravitational-wave detectors require complex seismic isolation systems in order to decouple the experiment from unwanted ground motion. Improved inertial sensors for active isolation potentially…

An interferometric arrangement is proposed in which the technique of weak value amplification is implemented in order to enlarge the effect of a single photon on the quadratures of a movable mirror of an optical cavity. The photon interacts…

Quantum Physics · Physics 2022-06-22 Sergio Carrasco , Miguel Orszag

Mechanical resonators based on low-dimensional materials are promising for force and mass sensing experiments. The force sensitivity in these ultra-light resonators is often limited by the imprecision in the measurement of the vibrations,…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Peter Weber , Johannes Güttinger , Adrien Noury , Jorge Vergara-Cruz , Adrian Bachtold

The torsion pendulum is a prevailing instrument for measuring small forces acting on a solid body or those between solid bodies. While it offers powerful advantages, the measurement precision suffers from thermal noises of the suspending…

Instrumentation and Methods for Astrophysics · Physics 2025-04-22 Yusuke Okuma , Kiwamu Izumi , Kentaro Komori , Masaki Ando

Nearly a century after Einstein first predicted the existence of gravitational waves, a global network of earth-based gravitational wave observatories is seeking to directly detect this faint radiation using precision laser interferometry.…

Quantum Physics · Physics 2013-10-02 The LIGO Scientific Collaboration

The quantum nature of the electromagnetic field imposes a fundamental limit on the sensitivity of optical precision measurements such as spectroscopy, microscopy, and interferometry. The so-called quantum limit is set by the zero-point…

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