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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

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

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

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 in the mirror coatings limits the accuracy of today's most optical precision measurement experiments. Unlike the more commonly discussed thermal phase noise, the crystalline coating can generate thermal birefringent noise due…

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

A fundamental limit to the sensitivity of optical interferometry is thermal noise that drives fluctuations in the positions of the surfaces of the interferometer's mirrors, and thereby in the phase of the intracavity field. Schemes for…

Quantum Physics · Physics 2009-11-13 H. J. Kimble , Benjamin L. Lev , Jun Ye

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

It is a persistent problem in condensed matter physics that glasses exhibit vibrational and thermal properties that are markedly different from those of crystals. While recent works have advanced our understanding of vibrational excitations…

Soft Condensed Matter · Physics 2020-10-16 Hideyuki Mizuno , Hua Tong , Atsushi Ikeda , Stefano Mossa

Thermally induced fluctuations impose a fundamental limit on precision measurement. In optical interferometry, the current bounds of stability and sensitivity are dictated by the excess mechanical damping of the high-reflectivity coatings…

Optics · Physics 2014-04-17 Garrett D. Cole , Wei Zhang , Michael J. Martin , Jun Ye , Markus Aspelmeyer

We analyze the fluctuations in particle positions and inter-particle forces in disordered jammed crystals in the limit of weak disorder. We demonstrate that such athermal systems are fundamentally different from their thermal counterparts,…

Soft Condensed Matter · Physics 2020-07-08 Pappu Acharya , Surajit Sengupta , Bulbul Chakraborty , Kabir Ramola

Thermoelectric materials exhibit correlated transport of charge and heat. The Johnson-Nyquist noise formula $ 4 k_B T R $ for spectral density of voltage fluctuations accounts for fluctuations associated solely with Ohmic dissipation.…

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

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

Spectral and spatial fringes in polarized light are produced by the interference of transmitted and reflected waves at the interface between materials with different indexes of refraction. These instrumental artifacts can affect the…

Optics · Physics 2026-03-11 Roberto Casini , David M. Harrington

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

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…

Sound attenuation and internal friction coefficients are calculated for a realistic model of amorphous silicon. It is found that, contrary to previous views, thermal vibrations can induce sound attenuation at ultrasonic and hypersonic…

Condensed Matter · Physics 2009-10-31 Jaroslav Fabian , Philip B. Allen

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
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