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We have measured the mechanical loss of a dielectric multilayer reflective coating (ion-beam sputtered SiO$_2$ and Ta$_2$O$_5$) in cooled mirrors. The loss was nearly independent of the temperature (4 K $\sim$ 300 K), frequency, optical…

The suspension noise in interferometric gravitational wave detectors is caused by losses at the top and the bottom attachments of each suspension fiber. We use the Fluctuation-Dissipation theorem to argue that by careful positioning of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Vladimir B. Braginsky , Yuri Levin , Sergey Vyatchanin

Crystalline materials are promising candidates as substrates or high-reflective coatings of mirrors to reduce thermal noises in future laser interferometric gravitational wave detectors. However, birefringence of such materials could…

Instrumentation and Methods for Astrophysics · Physics 2024-02-01 Yuta Michimura , Haoyu Wang , Francisco Salces-Carcoba , Christopher Wipf , Aidan Brooks , Koji Arai , Rana X Adhikari

We develop a steady-state analytical and numerical model of the optical response of power-recycled Fabry-Perot Michelson laser gravitational-wave detectors to thermal focusing in optical substrates. We assume that the thermal distortions…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. G. Beausoleil , E. D'Ambrosio , W. Kells , J. Camp , E K. Gustafson , M. M. Fejer

We present the calculation of thermal noise in interferometric gravitational-wave detectors due to the thermal fluctuations of the beam splitter (BS). This work makes use of a recently developed method of the analysis of thermal noise in…

Instrumentation and Methods for Astrophysics · Physics 2018-10-31 Johannes Dickmann , Stefanie Kroker , Yuri Levin , Ronny Nawrodt , Sergey Vyatchanin

Coating thermal noise in high-reflectivity test-mass mirrors is a major limitation for future gravitational-wave detectors, especially in the 10--300 Hz band. ET-Pathfinder therefore requires mirror coatings that combine very high…

Instrumentation and Methods for Astrophysics · Physics 2026-05-04 Christian Kranhold , Mika Gaedtke , Markus Walther , Falk Eilenberger , Stefanie Kroker , Thomas Siefke

The sensitivity of current and planned gravitational wave interferometric detectors is limited, in the most critical frequency region around 100 Hz, by a combination of quantum noise and thermal noise. The latter is dominated by Brownian…

In modern high precision optical instruments, such as in gravitational wave detectors or frequency references, thermally induced fluctuations in the reflective coatings can be a limiting noise source. This noise, known as coating thermal…

Instrumentation and Detectors · Physics 2017-01-18 S. Gras , H. Yu , W. Yam , D. Martynov , M. Evans

Diffraction gratings have been proposed as core optical elements in future laser-interferometric gravitational-wave detectors. In this paper we derive equations for the coupling between alignment noise and phase noise at diffraction…

General Relativity and Quantum Cosmology · Physics 2009-12-10 A. Freise , A. Bunkowski , R. Schnabel

Thermoelastic noise will be the most significant noise source in advanced-LIGO interferometers with sapphire test masses. The standard plan for advanced-LIGO has optimized the optics, within the framework of conventional mirrors, to reduce…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. O'Shaughnessy , S. Strigin , S. Vyatchanin

We study theoretically the internal thermal noise of a mirror coated on a plano-convex substrate. The comparison with a cylindrical mirror of the same mass shows that the effect on a light beam can be reduced by a factor 10, improving the…

Quantum Physics · Physics 2009-10-31 A. Heidmann , P. F. Cohadon , M. Pinard

The sensitivity of next-generation gravitational-wave detectors such as Advanced LIGO and LCGT should be limited mostly by quantum noise with an expected technical progress to reduce seismic noise and thermal noise. Those detectors will…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K. Somiya , Y. Chen , S. Kawamura , N. Mio

The DECi-hertz Interferometer Gravitational wave Observatory (DECIGO) is designed to detect gravitational waves at frequencies between 0.1 and 10 Hz. In this frequency band, one of the most important science targets is the detection of…

Advanced LIGO's sensitivity will be limited by coating noise. Though this noise depends on beam shape, and though nongaussian beams are being seriously considered for advanced LIGO, no published analysis exists to compare the quantitative…

General Relativity and Quantum Cosmology · Physics 2009-04-03 Richard O'Shaughnessy

The DECi hertz Interferometer Gravitational-Wave Observatory (DECIGO) is a space gravitational wave (GW) detector. DECIGO was originally designed to be sensitive enough to observe primordial GW background (PGW). However, due to the lowered…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Yuki Kawasaki , Ryuma Shimizu , Tomohiro Ishikawa , Koji Nagano , Shoki Iwaguchi , Izyumi Watanabe , Wu Bin , Shuichiro Yokoyama , Seiji Kawamura

Immersed reflection gratings improve spectral resolving power by enabling diffraction within a high refractive index medium. This principle has been widely adopted to make grating spectrometers more compact. Conventional immersed gratings…

A standard quarter-wavelength multilayer optical coating will produce the highest reflectivity for a given number of coating layers, but in general it will not yield the lowest thermal noise for a prescribed reflectivity. Coatings with the…

Thermal noise in high-reflectivity mirror coatings is a limiting factor in ground-based gravitational wave detectors. Reducing this coating thermal noise improves the sensitivity of detectors and enriches the scientific outcome of observing…

Instrumentation and Detectors · Physics 2023-01-18 Satoshi Tanioka , Daniel Vander-Hyde , Garrett D. Cole , Steven D. Penn , Stefan W. Ballmer

We propose a simple way to improve the laser gravitational-wave detectors sensitivity by means of reduction of the number of reflective coating layers of the core optics mirrors. This effects in the proportional decrease of the coating…

General Relativity and Quantum Cosmology · Physics 2013-05-30 N. V. Voronchev , S. L. Danilishin , F. Ya. Khalili