功率放大LIGO干涉仪参量振荡不稳定性分析
Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer
摘要：
本文分析了功率回收型LIGO干涉仪臂中含有法布里-珀罗（FP）腔时参量振荡不稳定性的非线性效应。这种效应的基础是当主FP腔主模中存储的光能超过一定阈值时，激发出附加（Stokes）光学模和镜面弹性模，并且频率相关，使得Stokes模和弹性模的频率之和近似等于主模的频率。反斯托克斯模态（其频率近似等于主模态和弹性模态的频率之和）的存在可以抑制参数不稳定性。然而，反斯托克斯模很可能不能完全补偿参数不稳定性。
英文摘要：
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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