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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

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

Thermal noise of a mirror is one of the limiting noise sources in the high precision measurement such as gravitational-wave detection, and the modeling of thermal noise has been developed and refined over a decade. In this paper, we present…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Kentaro Somiya , Kazuhiro Yamamoto

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 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

Any material in thermal equilibrium exhibits fundamental thermodynamic fluctuations of its mechanical and optical properties. Such thermodynamic fluctuations of length, elastic constants, and refractive index of amorphous materials -- like…

Optics · Physics 2023-01-05 Serhii Kryhin , Evan D. Hall , Vivishek Sudhir

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

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

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

Mechanical loss of dielectric mirror coatings sets fundamental limits for both gravitational wave detectors and cavity-stabilized optical local oscillators for atomic clocks. Two approaches are used to determine the mechanical loss:…

Thermodynamically induced length fluctuations of high-reflectivity mirror coatings put a fundamental limit on sensitivity and stability of precision optical interferometers like gravitational wave detectors and ultra-stable lasers. The main…

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

Coating thermal noise is a fundamental limit for precision experiments based on optical and quantum transducers. In this review, after a brief overview of the techniques for coating thermal noise measurements, we present the latest…

Thermodynamical fluctuations of temperature in mirrors of gravitational wave antennae may be transformed into additional noise not only through thermal expansion coefficient but also through temperature dependence of refraction index. The…

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

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 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

Radiative losses have traditionally been neglected in the calculation of thermal noise of transmissive optical elements because for the most commonly used geometries they are small compared to losses due to thermal conduction. We explore…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Sheila Dwyer , Stefan W. Ballmer

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

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

Increasing requirements in the sensitivity of interferometric measurements is a common feature of several research fields, from gravitational wave detection to quantum optics. This motivates refined studies of high reflectivity mirrors and…

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