Abstract
Abstract The basis of undesirable effect of parametric oscillatory instability in signal recycled LIGO interferometer is the excitation of the additional (Stokes) optical mode, with frequency ω 1 , and the mirror elastic mode, with frequency ω m , when optical energy stored in the main mode, with frequency ω 0 , exceeds the certain threshold and the frequencies are related as ω 0 ≃ ω 1 + ω m . We analyze parametric instability in the general case when eigen frequencies of Fabry–Perot (FP) cavities in arms of interferometer are detuned from each other and show that parametric instability in this interferometer is relatively small due to small bandwidth of interferometer. We propose to “scan” the frequency range where parametric instability may take place by varying the position of signal recycling mirror.
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