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 ω1, and the mirror elastic mode, with frequency ωm, when optical energy stored in the main FP cavity mode, with frequency ω0, exceeds the certain threshold and the frequencies are related as ω0 ω1+ωm. 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.
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