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We present the analysis of a nonlinear effect of parametric oscillatory instability in power recycled LIGO interferometer with the Fabry-Perot (FP) cavities in the arms. The basis for this effect is the excitation of the additional (Stokes)…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. B. Braginsky , S. E. Strigin , S. P. Vyatchanin

We present the analysis of undesirable effect of parametric oscillatory instability in signal recycled LIGO interferometer. The basis for this effect is the excitation of the additional (Stokes) optical mode, with frequency $\omega_1$, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. B. Braginsky , A. Gurkovsky , S. E. Strigin , S. P. Vyatchanin

We discuss one possible method for suppression of the nonlinear effect of a parametric oscillatory instability in a Fabry-Perot cavity of the next generation of gravitational wave detectors by determination of optimal radii of curvature of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 S. E. Strigin

We discuss the parametric oscillatory instability in a Fabry-Perot cavity of the Einstein Telescope. Unstable combinations of elastic and optical modes for two possible configurations of gravitational wave third-generation detector are…

Optics · Physics 2019-09-04 S. E. Strigin

Increasing the laser power is essential to improve the sensitivity of interferometric gravitational wave detectors. However, optomechanical parametric instabilities can set a limit to that power. It is of major importance to understand and…

Instrumentation and Methods for Astrophysics · Physics 2021-09-29 David Cohen , Annalisa Allocca , Gilles Bogaert , Paola Puppo , Thibaut Jacqmin , Virgo Collaboration

Fundamental sensitivity of an optical interferometric gravitational wave detector increases with increase of the optical power which, in turn, limited because of the opto-mechanical parametric instabilities of the interferometer. We propose…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Andrey B. Matsko , Mikhail V. Poplavskiy , Hiroaki Yamamoto , Sergey P. Vyatchanin

Laser interferometers with high circulating power and suspended optics, such as the LIGO gravitational wave detectors, experience an optomechanical coupling effect known as a parametric instability: the runaway excitation of a mechanical…

General Relativity and Quantum Cosmology · Physics 2017-09-27 A. C. Green , D. D. Brown , M. Dovale-Álvarez , C. Collins , H. Miao , C. Mow-Lowry , A. Freise

Parametric Instability (PI) is a phenomenon that results from resonant interactions between optical and acoustic modes of a laser cavity. This is problematic in gravitational wave interferometers where the high intra-cavity power and low…

A key action for enhancing the sensitivity of gravitational wave (GW) detectors based on laser interferometry is to increase the laser power. However, in such a high-power regime, a nonlinear optomechanical phenomenon called parametric…

Instrumentation and Methods for Astrophysics · Physics 2019-10-16 Margherita Turconi , Thomas Harder , Rémi Soulard , Walid Chaibi

We present a study of three-mode parametric instability in large-scale gravitational-wave detectors. Previous work used a linearised model to study the onset of instability. This paper presents a non-linear study of this phenomenon, which…

General Relativity and Quantum Cosmology · Physics 2015-01-06 Stefan L. Danilishin , Sergey P. Vyatchanin , David G. Blair , Ju Li , Chunnong Zhao

Three mode parametric instability has been predicted in Advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced…

Parametric instability is an intrinsic risk in high power laser interferometer gravitational wave detectors, in which the optical cavity modes interact with the acoustic modes of the mirrors leading to exponential growth of the acoustic…

Instrumentation and Methods for Astrophysics · Physics 2017-02-22 Jue Zhang , Chunnong Zhao , Li Ju , David Blair

We discuss the influence of Young's modulus temperature dependence on the number of parametrically unstable modes in a Fabry-Perot cavity of Advanced LIGO interferometer. Some unstable modes may be suppressed by changing the mirror's…

Instrumentation and Methods for Astrophysics · Physics 2018-12-03 S. E. Strigin

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

Three-mode parametric interactions can occur in triply-resonant opto-mechanical systems in which two orthogonal optical modes are coupled with an appropriate mechanical mode. Using an optical cavity with a membrane inside, we report the…

We present a simple feedback description of parametric instabilities which can be applied to a variety of optical systems. Parametric instabilities are of particular interest to the field of gravitational-wave interferometry where high…

General Relativity and Quantum Cosmology · Physics 2010-02-10 M. Evans , L. Barsotti , P. Fritschel

Various four-mirror optical resonators are studied in the perspective of realizing passive stacking cavities. A comparative study of the mechanical stability is provided. The polarization properties of the cavity eigenmodes are described…

Optics · Physics 2015-05-13 F. Zomer , Y. Fedala , N. Pavloff , V. Soskov , A. Variola

Three-mode parametric interactions occur in triply-resonant optomechanical systems: photons from an optical pump mode are coherently scattered to a high-order mode by mechanical motion of the cavity mirrors, and these modes resonantly…

Advanced gravitational wave interferometric detectors will operate at their design sensitivity with nearly 1MW of laser power stored in the arm cavities. Such large power may lead to the uncontrolled growth of acoustic modes in the test…

Instrumentation and Methods for Astrophysics · Physics 2015-10-07 Slawek Gras , Peter Fritschel , Lisa Barsotti , Matthew Evans

We calculate the parametric instabilities in Fabry-Perot cavities of Advanced VIRGO and LIGO interferometers with different main mode profiles. All unstable combinations of elastic and Stokes modes both for the case with TEM00 and LG33 as a…

General Relativity and Quantum Cosmology · Physics 2010-04-14 S. E. Strigin , S. P. Vyatchanin
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