LCGT臂腔中的参数不稳定性
Parametric instabilities in the LCGT arm cavity
摘要：
对日本干涉型引力波探测器计划（LCGT）臂腔的参数不稳定性进行了评估。LCGT的不稳定模式的数量比Advanced LIGO（美国）少10倍。由于LCGT的不稳定性强度对反射镜曲率的依赖性比AdvancedLIGO弱，因此对反射镜曲率精度的要求更容易达到。LCGT和Advanced LIGO之间参数不稳定性的差异是由于热噪声降低方法（LCGT，冷却蓝宝石镜; Advanced LIGO，具有更大激光束的熔融石英镜），这是项目的主要策略。通过筒体表面（0.2 mm厚度Ta $_2$ O $_5$）涂层的弹性Q减小对于抑制LCGT臂腔中的不稳定性是有效的。因此，低温干涉仪是一个聪明的解决方案，除了热噪声和热透镜的参数不稳定性。
英文摘要：
We evaluated the parametric instabilities of LCGT (Japanese interferometric gravitational wave detector project) arm cavity. The number of unstable modes of LCGT is 10-times smaller than that of Advanced LIGO (U.S.A.). Since the strength of the instabilities of LCGT depends on the mirror curvature more weakly than that of Advanced LIGO, the requirement of the mirror curvature accuracy is easier to be achieved. The difference in the parametric instabilities between LCGT and Advanced LIGO is because of the thermal noise reduction methods (LCGT, cooling sapphire mirrors; Advanced LIGO, fused silica mirrors with larger laser beams), which are the main strategies of the projects. Elastic Q reduction by the barrel surface (0.2 mm thickness Ta$_2$O$_5$) coating is effective to suppress instabilities in the LCGT arm cavity. Therefore, the cryogenic interferometer is a smart solution for the parametric instabilities in addition to thermal noise and thermal lensing.
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