论文标题
在干涉重力波检测器中，高阶Hermite-gauss模式作为强大的平坦光束
Higher-order Hermite-Gauss modes as a robust flat beam in interferometric gravitational wave detectors
论文作者
论文摘要
先前已经研究过高阶Laguerre-gauss（LG）模式，以减少地面重力波探测器（如高级Ligo）中的测试质量热噪声的候选。但是，已经表明，LG模式针对镜面图缺陷的脆弱性限制了其与当前最新测试质量的兼容性。在本文中，我们探讨了使用高阶Hermite-gauss（HG）模式减少热噪声的替代方法，并表明，通过故意添加散光，它们的数量级比镜面扭曲的数量级要比等效阶的LG模式更强大。我们介绍了具有逼真的镜像的先进类似Ligo的臂腔的模拟，这些镜像可以支持Hg $ _ {33} $模式，其平均手臂损耗和对比度缺陷在Fabry-Perot Michelson干涉仪配置中，该配置远低于高级Ligo中典型测量值。这表明镜面表面扁平度误差将不是在未来重力波检测器中使用这些模式的限制因素。
Higher-order Laguerre-Gauss (LG) modes have previously been investigated as a candidate for reducing test-mass thermal noise in ground-based gravitational-wave detectors like Advanced LIGO. It has been shown however that LG modes' fragility against mirror surface figure imperfections limits their compatibility with the current state-of-the-art test masses. In this paper we explore the alternative of using higher-order Hermite-Gauss (HG) modes for thermal noise reduction, and show that with the deliberate addition of astigmatism they are orders of magnitude more robust against mirror surface distortions than LG modes of equivalent order. We present simulations of Advanced LIGO-like arm cavities with realistic mirror figures which can support HG$_{33}$ modes with average arm losses and contrast defects in a Fabry-Perot Michelson interferometer configuration which are well below the typical measured values in Advanced LIGO. This demonstrates that the mirror surface flatness errors will not be a limiting factor for the use of these modes in future gravitational-wave detectors.
