Abstract
We present an approximate analysis of a nonlinear effect of parametric oscillatory instability in Fabry–Perot (FP) interferometer. The basis for this effect is the excitation of the additional (Stokes) optical mode with frequency ω 1 and of the mirror's elastic mode with frequency ω m when the optical energy stored in the FP resonator main mode with frequency ω 0 exceeds the certain threshold and the frequencies are related as ω 0≃ ω 1+ ω m . This effect is undesirable in laser gravitational wave antennae because it may create a specific upper limit for the value of energy stored in FP resonator. In order to avoid it the detailed analysis of the mirror's elastic modes and FP resonator optical modes structure is necessary.
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