Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer

Details Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer

2002-09-19

arxiv.org/abs/gr-qc/0209064v1

Phys.Lett. A305 (2002) 111-124

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 2 figures. submitted to Physics Letters A

Scientific paper

10.1016/S0375-9601(02)01357-9

We present the analysis of a nonlinear effect of parametric oscillatory instability in power recycled LIGO interferometer with the Fabry-Perot (FP) cavities in the arms. The basis for this effect is the excitation of the additional (Stokes) optical mode and the mirror elastic mode, when the optical energy stored in the main FP cavity main mode exceeds the certain threshold and the frequencies are related so that sum of frequencies of Stokes and elastic modes are approximately equal to frequencyof main mode. The presence of anti-Stokes modes (with frequency approximately equal to sum of frequencies of main and elastic modes) can depress parametric instability. However, it is very likely that the anti-Stokes modes will not compensate the parametric instability completely.

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