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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

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…

In this paper we study several means of compensating for thermal lensing which, otherwise, should be a source of concern for future upgrades of interferometric detectors of gravitational waves. The methods we develop are based on the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. Hello

The large scale interferometric gravitational wave detectors consist of Fabry-Perot cavities operating at very high powers ranging from tens of kW to MW for next generations. The high powers may result in several nonlinear effects which…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Pai , S. V. Dhurandhar , P. Hello , J-Y. Vinet

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

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…

In laser gravitational waves detectors optical loss restricts sensitivity. We discuss polarization scattering as one more possible mechanism of optical losses. Circulated inside interferometer light is polarized and after reflection its…

Instrumentation and Methods for Astrophysics · Physics 2020-02-20 Sergey P. Vyatchanin

The detection of gravitational-waves provides us with a deep insight into the universe. In order to increase the number of detectable gravitational-wave sources, several future gravitational-wave detectors will operate with cryogenic…

Instrumentation and Detectors · Physics 2020-08-05 Satoshi Tanioka , Kunihiko Hasegawa , Yoichi Aso

The design of new low-mechanical-loss, high reflectivity mirrors is crucial in the development of the next generation of gravitational-wave observatories. Currently, the state-of-the-art amorphous multilayer reflective coatings which are…

Thermal noise in high-reflectivity mirror coatings is a limiting factor in ground-based gravitational wave detectors. Reducing this coating thermal noise improves the sensitivity of detectors and enriches the scientific outcome of observing…

Instrumentation and Detectors · Physics 2023-01-18 Satoshi Tanioka , Daniel Vander-Hyde , Garrett D. Cole , Steven D. Penn , Stefan W. Ballmer

Interferometric gravitational wave detectors are devoted to pick up the effect induced on masses by gravitational waves. The variations of the length dividing two mirrors is measured through a laser interferometric technique. The Brownian…

Classical Physics · Physics 2009-10-31 Giseppe Curci , Erika D'Ambrosio

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

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 effects are already important in currently operating interferometric gravitational wave detectors. Planned upgrades of these detectors involve increasing optical power to combat quantum shot noise. We consider the ramifications of…

Optics · Physics 2017-04-13 J Miller , P Willems , H Yamamoto , J Agresti , R DeSalvo

The operation of an interferometer for gravitational waves detection requires sophisticated feedback controls in many parts of the apparatus. The aim of this lecture is to introduce the types of problems to be faced in this line of…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Giovanni Losurdo

We have measured the photothermal effect in a single cross-polarized interferometer at audio frequencies (5 Hz - 4 kHz). In a Fabry-Perot interferometer, light in one polarization is chopped to periodically heat the interferometer mirrors,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shanti R. Rao

Using a quantum mechanical approach, we show that in a gravitational-wave interferometer composed of arm cavities and a signal recycling cavity, e.g., the LIGO-II configuration, the radiation-pressure force acting on the mirrors not only…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alessandra Buonanno , Yanbei Chen

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

Thermal noise in optical cavities imposes a severe limitation in the stability of the most advanced frequency standards at a level of a few 10^(-16) (s/t)^(1/2) for long averaging times t. In this paper we describe two schemes for reducing…

We show that quantum noise in very sensitive interferometric measurements such as gravitational-waves detectors can be drastically modified by quantum feedback. We present a new scheme based on active control to lock the motion of a mirror…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jean-Michel Courty , A. Heidmann , M. Pinard