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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…

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…

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…

Interferometric gravitational wave detectors operate with high optical power in their arms in order to achieve high shot-noise limited strain sensitivity. A significant limitation to increasing the optical power is the phenomenon of…

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

The intracavity power, and hence sensitivity, of optomechanical sensors is commonly limited by parametric instability. Here we characterize the parametric instability induced sensitivity degradation in a micron scale cavity optomechanical…

Quantum Physics · Physics 2015-05-30 Glen I. Harris , Ulrik L. Andersen , Joachim Knittel , Warwick P. Bowen

We theoretically analyze three-mode opto-acoustic parametric interactions in a coupled Fabry-Perot cavity, where one acoustic mode interacts with two optical modes. We show explicitly that extra degrees of freedom in a coupled cavity allow…

Optics · Physics 2009-11-13 H. Miao , C. Zhao , L. Ju , S. Gras , P. Barriga , Z. Zhang , D. G. Blair

We realise a feedback-controlled optical Fabry-Perot cavity in which the transmitted cavity output is used to modulate the input amplitude fluctuations. The resulting phase-dependent fluctuations of the in-loop optical field, which may be…

We report the first observation of three-mode opto-acoustic parametric interactions of the type predicted to cause parametric instabilities in an 80 m long, high optical power cavity that uses suspended sapphire mirrors. Resonant…

General Relativity and Quantum Cosmology · Physics 2009-11-13 C. Zhao , L. Ju , Y. Fan , S. Gras. B. J. J. Slagmolen , H. Miao , P. Barriga D. G. Blair , D. J. Hosken , A. F. Brooks , P. J. Veitch , D. Mudge , J. Munch

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 demonstrate a new feedback algorithm to cool a single neutral atom trapped inside a standing-wave optical cavity. The algorithm is based on parametric modulation of the confining potential at twice the natural oscillation frequency of…

Quantum Physics · Physics 2018-05-23 C. Sames , C. Hamsen , H. Chibani , P. A. Altin , T. Wilk , G. Rempe

Three-mode parametric instability is a threat to attaining design power levels in Advanced gravitational wave detectors. The first observation of three-mode parametric instability in a long optical cavity revealed that instabilities could…

Instrumentation and Detectors · Physics 2017-06-21 Y. B. Ma , J. Liu , Y. Q. Ma , C. Zhao , L. Ju , D. G. Blair , Z. H. Zhu

We present the first demonstration of real-time closed-loop control and deterministic tuning of an independently suspended Fabry-Perot optical cavity using digitally-enhanced heterodyne interferometry, realising a peak sensitivity of…

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…

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

The stabilization of steady states is studied in a modified Lang-Kobayashi model of a semiconductor laser. We show that multiple time-delayed feedback, realized by a Fabry-Perot resonator coupled to the laser, provides a valuable tool for…

Chaotic Dynamics · Physics 2009-11-13 Thomas Dahms , Philipp Hövel , Eckehard Schöll

We describe an apparatus for the implementation of hybrid optomechanical systems at 4 K. The platform is based on a high-finesse, micrometer-scale fiber Fabry-Perot cavity, which can be widely tuned using piezoelectric positioners. A…

Optical systems are often subject to parametric instability caused by the delayed response of the optical field to the system dynamics. In some cases, parasitic photothermal effects aggravate the instability by adding new interaction…

Fiber Fabry-Perot cavities, formed by micro-machined mirrors on the end-facets of optical fibers, are used in an increasing number of technical and scientific applications, where they typically require precise stabilization of their optical…

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