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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…

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

The intrinsic thermal noise in optical fibers is the ultimate limit of fiber-based systems. However, at infrasonic frequencies, the spectral behavior of the intrinsic thermal noise remains unclear so far. We present the measurements of the…

Optics · Physics 2016-02-17 Jing Dong , Junchao Huang , Tang Li , Liang Liu

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

Angular fluctuations of suspended mirrors in gravitational wave interferometers are a source of noise both for the locking and the operation of the detectors. We describe here some of the sources of these fluctuations and methods for the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Gabriela Gonzalez

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 arising from mechanical dissipation in oxide coatings is a major limitation to many precision measurement systems, including optical frequency standards, high resolution optical spectroscopy and interferometric gravity wave…

We modified the modal expansion, which is the traditional method used to calculate thermal noise. This advanced modal expansion provides physical insight about the discrepancy between the actual thermal noise caused by inhomogeneously…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kazuhiro Yamamoto , Masaki Ando , Keita Kawabe , Kimio Tsubono

Grating reflectors have been repeatedly discussed to improve the noise performance of metrological applications due to the reduction or absence of any coating material. So far, however, no quantitative estimate on the thermal noise of these…

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 displacement fluctuations of mirrors in optomechanical devices, induced via thermal expansion by temperature fluctuations due either to thermodynamic fluctuations or to fluctuations in the photon absorption, can be made smaller than…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Cerdonio , L. Conti , A. Heidmann , M. Pinard

Thermodynamic noise places a fundamental limit on the frequency stability of dielectric optical resonators. Here, we present the characterization of thermo-refractive noise in photonic-chip-based silicon nitride microresonators and show…

We report on thermal noise from the internal friction of dielectric coatings made from alternating layers of Ta2O5 and SiO2 deposited on fused silica substrates. We present calculations of the thermal noise in gravitational wave…

The most sensitive measurements of time and space are made with resonant optical cavities, and these measurements are limited by coating thermal noise. The mechanical and optical performance requirements placed on coating materials,…

Optics · Physics 2015-03-05 William Yam , Slawek Gras , Matthew Evans

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

We report high-resolution measurements of thermal fluctuations in microwave and mechanical resonators using a dual-channel readout system. The latter comprises a low-noise amplifier, an I/Q-mixer, and a cross-correlator. We discovered that,…

Instrumentation and Detectors · Physics 2026-01-21 Michael T Hatzon , Eugene N Ivanov , Aaron Quiskamp , Michael E Tobar

The photo-thermal transfer function from absorbed power incident on a dielectric mirror to the effective mirror position is calculated using the coating design as input. The effect is found to change in amplitude and sign for frequencies…

Optics · Physics 2015-06-23 Stefan W. Ballmer

Thermal lensing in resonant optical interferometers such as those used for gravitational wave detection is a concern due to the negative impact on control signals and instrument sensitivity. In this paper we describe a method for monitoring…

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

Braginsky, Gorodetsky, and Vyatchanin have shown that thermo-refractive fluctuations are an important source of noise in interferometric gravitational-wave detectors. In particular, the thermo-refractive noise in the GEO600 beamsplitter is…

General Relativity and Quantum Cosmology · Physics 2010-02-22 Bruin Benthem , Yuri Levin