Analysis of Parametric Oscillatory Instability in Signal Recycled LIGO Interferometer

Abstract

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 the mirror elastic mode, with frequency ${\omega }_m$, when optical energy stored in the main FP cavity mode, with frequency ${\omega }_0$, exceeds the certain threshold and the frequencies are related as ${\omega }_0\simeq {\omega }_1+{\omega }_m$. We show that possibility of parametric instability in this interferometer is relatively small due to stronger sensitivity to detuning. We propose to ``scan'' the frequency range where parametric instability may take place varying the position of signal recycling mirror.

arXiv comment10 pages, 4 figures

References in corpus (5)

• Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity
• Parametric Oscillatory Instability in Fabry-Perot (FP) Interferometer
• Measurement of radiation-pressure-induced optomechanical dynamics in a suspended Fabry-Perot cavity
• Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer
• Parametric instabilities and their control in advanced interferometer GW detectors

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• Two-Tone Optomechanical Instability and Its Fundamental Implications for Backaction-Evading Measurements
• Time evolution of parametric instability in large-scale gravitational-wave interferometers
• The Influence of Dual-Recycling on Parametric Instabilities at Advanced LIGO
• Three-mode opto-acoustic parametric interactions with coupled cavity
• Optical Gravitational Wave Antenna with Increased Power Handling Capability
• Analysis of parametric oscillatory instability in Fabry-Perot cavity with Gauss and Laguerre-Gauss main mode profile
• Parametric instabilities in the LCGT arm cavity
• Finite Mirror Effects in Advanced Interferometric Gravitational Wave Detectors