Analysis of Parametric Oscillatory Instability in Signal Recycled LIGO Interferometer

Braginsky, V. B.; Gurkovsky, A.; Strigin, S. E.; Vyatchanin, S. P.

Analysis of Parametric Oscillatory Instability in Signal Recycled LIGO Interferometer

Authors

Description

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 $ω_1$, and the mirror elastic mode, with frequency $ω_m$, when optical energy stored in the main FP cavity mode, with frequency $ω_0$, exceeds the certain threshold and the frequencies are related as $ω_0\simeq ω_1+ω_m$. 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.
10 pages, 4 figures