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A fundamental limit to the sensitivity of optical interferometers is imposed by Brownian thermal fluctuations of the mirrors' surfaces. This thermal noise can be reduced by using larger beams which "average out" the random fluctuations of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 T. Hong , J. Miller , H. Yamamoto , Y. Chen , R. Adhikari

The torsion pendulum is a prevailing instrument for measuring small forces acting on a solid body or those between solid bodies. While it offers powerful advantages, the measurement precision suffers from thermal noises of the suspending…

Instrumentation and Methods for Astrophysics · Physics 2025-04-22 Yusuke Okuma , Kiwamu Izumi , Kentaro Komori , Masaki Ando

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

We study an inertial Brownian particle moving in a symmetric periodic substrate, driven by a zero-mean biharmonic force and correlated thermal noise. The Brownian motion is described in terms of a Generalized Langevin Equation with an…

Statistical Mechanics · Physics 2010-10-19 Lukasz Machura , Jerzy Luczka

We describe an experiment in which we have used a cold damping feedback mechanism to reduce the thermal noise of a mirror around its mechanical resonance frequency. The monitoring of the brownian motion of the mirror allows to apply an…

Quantum Physics · Physics 2009-11-06 M. Pinard , P. F. Cohadon , T. Briant , A. Heidmann

Although optical resonators are widely used for controlling and engineering thermal radiation, what has been lacking is a general theoretical framework to elucidate the thermal emission of optical resonators, and guide the design and…

Optics · Physics 2016-11-30 Baoan Liu , Jiayu Li , Sheng Shen

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

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

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…

We extend the analysis of a thermal Brownian motor reported in Phys. Rev. Lett. 93, 090601 (2004) by C. Van den Broeck, R. Kawai, and P. Meurs to a three-dimensional configuration. We calculate the friction coefficient, diffusion…

Statistical Mechanics · Physics 2008-07-16 M. van den Broek , C. Van den Broeck

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

Statistical Mechanics · Physics 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

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

We present measurements of thermal noise in niobium and aluminium flexures. Our measurements cover the audio frequency band from 10Hz to 10kHz, which is of particular relevance to ground-based interferometric gravitational wave detectors,…

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

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

Brownian thermal noise associated with highly reflective coatings is a fundamental limit for several precision experiments, including gravitational-wave detectors. Research is currently ongoing to find coatings with low thermal noise that…

The paper is devoted to the problem of the determination of regular and thermal forces acting on microscopic and smaller objects in fluids. One of the methods how regular forces are determined is the measurement of the drift velocity of…

Statistical Mechanics · Physics 2012-02-21 Jana Tothova , Lukas Glod , Gabriela Vasziova , Vladimir Lisy

Advanced LIGO's sensitivity will be limited by coating noise. Though this noise depends on beam shape, and though nongaussian beams are being seriously considered for advanced LIGO, no published analysis exists to compare the quantitative…

General Relativity and Quantum Cosmology · Physics 2009-04-03 Richard O'Shaughnessy

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

Micro-mechanical resonator performance is fundamentally limited by the coupling to a thermal environment. The magnitude of this thermodynamical effect is typically considered in accordance with a physical temperature, assumed to be uniform…

Mesoscale and Nanoscale Physics · Physics 2023-05-10 Ravid Shaniv , Chris Reetz , Cindy A. Regal