Time evolution of parametric instability in large-scale gravitational-wave interferometers
arXiv:1409.3284 · doi:10.1103/PhysRevD.90.122008
Abstract
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 shows that the initial stage of exponential rise of the amplitudes of a higher order optical mode and the mechanical internal mode of the mirror is followed by a saturation phase, in which all three participating modes reach a new equilibrium state with constant oscillation amplitudes. Results suggest that stable operation of interferometers may be possible in the presence of such instabilities, thereby simplifying the task of suppression.
11 pages, 7 figures.Version 3 features added fig. 4 and refined discussion on non-linear input-output relations for 3-mode parametric system above the threshold, given in Sec. V
References in corpus (17)
- Detector configuration of KAGRA - the Japanese cryogenic gravitational-wave detector
- Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
- Preparation and Detection of a Mechanical Resonator Near the Ground State of Motion
- Resolved-sideband cooling and measurement of a micromechanical oscillator close to the quantum limit
- Laser cooling of a nanomechanical resonator mode to its quantum ground state
- Parametric Oscillatory Instability in Fabry-Perot (FP) Interferometer
- Quantum Measurement Theory in Gravitational-Wave Detectors
- Cavity-Assisted Back Action Cooling of Mechanical Resonators
- Scaling law in signal recycled laser-interferometer gravitational-wave detectors
- Second generation instruments for the Laser Interferometer Gravitational Wave Observatory (LIGO)
- Parametric instabilities and their control in advanced interferometer GW detectors
- Opto-mechanics with surface acoustic wave whispering gallery modes
- A General Approach to Optomechanical Parametric Instabilities
- Damping parametric instabilities in future gravitational wave detectors by means of electrostatic actuators
- Analysis of Parametric Oscillatory Instability in Signal Recycled LIGO Interferometer
- Stability of Resonant Opto-Mechanical Oscillators
- Three mode interaction noise in laser interferometer gravitational wave detectors
Cited by in corpus (7)
- Observation of Parametric Instability in Advanced LIGO
- Parametric Instability in Long Optical Cavities and Suppression by Dynamic Transverse Mode Frequency Modulation
- Sub-Poissonian Phonon Lasing in Three-Mode Optomechanics
- The Influence of Dual-Recycling on Parametric Instabilities at Advanced LIGO
- Observing the optical modes of parametric instability
- Classical and quantum theory of magnonic and magnetoelastic nonlinear dynamics in continuum geometries
- Parametric Oscillatory Instability in a Fabry-Perot Cavity of the Einstein Telescope with different mirror's materials