标题： 干涉仪配置中具有L形谐振器的传感和控制方案 显示英文标题

标题： Sensing and control scheme for the inteferometer configuration with an L-shaped resonator

摘要： 在千赫兹附近探测高频引力波对于理解双中子星合并的物理机制至关重要。 [Phys. Rev. X{\bf 13}, 021019 (2023)] 中提出了一种新的干涉仪设计，其特征在于采用L形光学共振腔作为臂腔，从而共振增强千赫兹引力波信号。 与双回收Fabry-Perot迈克尔逊相比，这种新配置有可能实现更好的高频灵敏度。 本文提出了一种针对该配置的传感和控制方案。 尽管与双回收Fabry-Perot迈克尔逊具有相同数量的长度自由度，但由于低频下两个长度自由度的退化，新配置需要控制的自由度少一个。 我们还表明，在信号回收腔长度控制中引入Schnupp不对称性是无效的。 因此，我们建议从暗端添加控制场以控制这一辅助自由度。 显示英文摘要

摘要： The detection of high-frequency gravitational waves around kHz is critical to understanding the physics of binary neutron star mergers. A new interferometer design has been proposed in [Phys. Rev. X {\bf 13}, 021019 (2023)], featuring an L-shaped optical resonator as the arm cavity, which resonantly enhances kHz gravitational-wave signals. This new configuration has the potential to achieve better high-frequency sensitivity than the dual-recycled Fabry-Perot Michelson. In this article, we propose a sensing and control scheme for this configuration. Despite having the same number of length degrees of freedom as the dual-recycled Fabry-Perot Michelson, the new configuration requires one less degree of freedom to be controlled due to the degeneracy of two length degrees of freedom at low frequencies. We has also shown that introducing the Schnupp asymmetry is ineffective for controlling the signal-recycling cavity length. Therefore, we propose adding control fields from the dark port to control this auxiliary degree of freedom.