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Reduction of thermal noise in dielectric mirror coatings is a key issue for the sensitivity improvement in second and third generation interferometric gravitational wave detectors. Replacing an end mirror of the interferometer by an…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alexey G. Gurkovsky , Daniel Heiner , Stefan Hild , Ronny Nawrodt , Kentaro Somiya , Sergey P. Vyatchanin , Holger Wittel

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

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

We present a concept of a mirror for the application in high-reflectivity low-noise instruments such as interferometers. The concept is based on an etalon with a metasurface (meta-etalon) on the front and a conventional multilayer stack on…

Instrumentation and Detectors · Physics 2018-10-24 Johannes Dickmann , Stefanie Kroker

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 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

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 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

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 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

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 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

We derive accurate formulas for thermal fluctuations in multilayer interferometric coating taking into account light propagation inside the coating. In particular, we calculate the reflected wave phase as a function of small displacements…

General Relativity and Quantum Cosmology · Physics 2010-05-19 Alexey Gurkovsky , Sergey Vyatchanin

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

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 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

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

We present an approach to mitigate coating thermal noise in optical cavities by using multiple TEM spatial modes to readout and stabilize laser frequency. With optimal weightings we synthesize a wider sampling of the mirror surface,…

Optics · Physics 2022-08-31 Andrew R. Wade , Kirk McKenzie

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…

The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general…

Statistical Mechanics · Physics 2021-10-08 Alex Fontana , Richard Pedurand , Vincent Dolique , Ghaouti Hansali , Ludovic Bellon
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