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Thermal fluctuations in the coatings used to make high-reflectors are becoming significant noise sources in precision optical measurements and are particularly relevant to advanced gravitational wave detectors. There are two recognized…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Evans , S. Ballmer , M. Fejer , P. Fritschel , G. Harry , G. Ogin

Reduction of coating thermal noise is a key issue in precise measurements with an optical interferometer. A good example of such a measurement device is a gravitational-wave detector, where each mirror is coated by a few tens of…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Kentaro Somiya , Daniel Heinert , Alexey G. Gurkovsky , Stefan Hild , Ronny Nawrodt , Sergey P. Vyatchanin

Thermal noise of a mirror is one of the most important issues in high precision measurements such as gravitational-wave detection or cold damping experiments. It has been pointed out that thermal noise of a mirror with multi-layer coatings…

Quantum Physics · Physics 2011-01-31 Kentaro Somiya

Thermal fluctuations of different origin in the substrate and in the coating of optical mirrors produce phase noise in the reflected wave. This noise determines the ultimate stabilization capability of high-Q cavities used as a reference…

Materials Science · Physics 2009-11-13 Michael L. Gorodetsky

Thermal noise of optical reference cavities sets a fundamental limit to the frequency instability of ultra-stable lasers. Using Levin's formulation of the fluctuation-dissipation theorem we correct the analytical estimate for the spacer…

Optics · Physics 2012-10-10 Thomas Kessler , Thomas Legero , Uwe Sterr

We analyze the Brownian thermal noise of a multi-layer dielectric coating, used in high-precision optical measurements including interferometric gravitational-wave detectors. We assume the coating material to be isotropic, and therefore…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Ting Hong , Huan Yang , Eric K. Gustafson , Rana X. Adhikari , Yanbei Chen

The internal thermal noise in LIGO's test masses is analyzed by a new technique, a direct application of the Fluctuation-Dissipation Theorem to LIGO's readout observable, $x(t)=$(longitudinal position of test-mass face, weighted by laser…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Yuri Levin

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

Thermodynamical fluctuations of temperature in mirrors of gravitational wave antennae are transformed through thermal expansion coefficient into additional noise. This source of noise, which may also be interpreted as fluctuations due to…

Materials Science · Physics 2009-10-31 V. B. Braginsky , M. L. Gorodetsky , S. P. Vyatchanin

We calculate the thermal noise in half-infinite mirrors containing a layer of arbitrary thickness and depth made of excessively lossy material but with the same elastic material properties as the substrate. For the special case of a thin…

General Relativity and Quantum Cosmology · Physics 2014-11-17 N. Nakagawa , A. M. Gretarsson , E. K. Gustafson , M. M. Fejer

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

Thermal noise of a mirror can be reduced by cold damping. The displacement is measured with a high-finesse cavity and controlled with the radiation pressure of a modulated light beam. We establish the general quantum limits of noise in cold…

Quantum Physics · Physics 2009-11-07 Jean-Michel Courty , A. Heidmann , M. Pinard

Mirror thermal noise is and will remain one of the main limitations to the sensitivity of gravitational wave detectors based on laser interferometers. We report about projected mirror thermal noise due to losses in the mirror coatings and…

General Relativity and Quantum Cosmology · Physics 2009-12-02 Janyce Franc , Nazario Morgado , Raffaele Flaminio , Ronny Nawrodt , Iain Martin , Liam Cunningham , Alan Cumming , Sheila Rowan , James Hough

We investigate the random motion of a mirror in (1 + 1)-dimensions that is immersed in a thermal bath of massless scalar particles which are interacting with the mirror through a boundary condition. Imposing the Dirichlet or the Neumann…

High Energy Physics - Theory · Physics 2016-08-11 D. Jaffino Stargen , Dawood Kothawala , L. Sriramkumar

Thermal noise is expected to be one of the noise sources limiting the astrophysical reach of Advanced LIGO (once commissioning is complete) and third-generation detectors. Adopting crystalline materials for thin, reflecting mirror coatings,…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Geoffrey Lovelace , Nicholas Demos , Haroon Khan

Thermodynamical fluctuations of temperature in mirrors may produce surface fluctuations not only through thermal expansion in mirror body but also through thermal expansion in mirror coating. We analyze the last "surface" effect which can…

Statistical Mechanics · Physics 2015-06-24 V. B. Braginsky , S. P. Vyatchanin

Optical multilayer coatings of high-reflective mirrors significantly determine the properties of Fabry-Perot resonators. Thermal (Brownian) noise in these coatings produce excess phase noise which can seriously degrade the sensitivity of…

General Relativity and Quantum Cosmology · Physics 2011-08-08 N. M. Kondratiev , A. G. Gurkovsky , M. L. Gorodetsky

In second-generation, ground-based interferometric gravitational-wave detectors such as Advanced LIGO, the dominant noise at frequencies $f \sim 40$ Hz to $\sim 200$ Hz is expected to be due to thermal fluctuations in the mirrors'…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Geoffrey Lovelace

Thermodynamical fluctuations of temperature in mirrors may produce surface fluctuations not only through thermal expansion in mirror body but also through thermal expansion in mirror coating. We analyze the last "surface" effect which can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. B. Braginsky , O. G. Ryazhskaya , S. P. Vyatchanin

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
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