论文标题
使用手性谐振机械元件和短型光腔的高频重力波检测
High-Frequency Gravitational-Wave Detection Using a Chiral Resonant Mechanical Element and a Short Unstable Optical Cavity
论文作者
论文摘要
当前的重力波检测器基于稳定光腔中线性位移的测量。在这里,我们建议测量由重力波诱导的手性机械元件的扭曲。诱导的扭曲在此手性元件的顶部旋转一个平坦的光学镜,从而导致入射激光束的挠度。旋转镜之间的光线和最初平行的固定平面镜之间的多次光线通过多次弹跳来增强这种角度的变化。基于详细的连续力学计算,我们为手性机械元件提供了可行的设计,包括旋转镜。我们的方法对于频段1-100 kHz中的信号最有用,在该信号中,我们证明与线性位移的检测相比,基本的计量限制将允许在此设置中产生较小的射击噪声。我们估计10^{ - 21}/\ sqrt {hz}和10^{ - 23}/\ sqrt {hz}之间的重力波应变敏感性。当适当地缩放涉及的几何参数时,应变灵敏度与频率成正比。
Present gravitational wave detectors are based on the measurement of linear displacement in stable optical cavities. Here, we instead suggest the measurement of the twist of a chiral mechanical element induced by a gravitational wave. The induced twist rotates a flat optical mirror on top of this chiral element, leading to the deflection of an incident laser beam. This angle change is enhanced by multiple bounces of light between the rotating mirror and an originally parallel nearby fixed flat mirror. Based on detailed continuum-mechanics calculations, we present a feasible design for the chiral mechanical element including the rotating mirror. Our approach is most useful for signals in the frequency band 1 -- 100 kHz where we show that fundamental metrological limits would allow for smaller shot noise in this setup in comparison to the detection of linear displacement. We estimate a gravitational wave strain sensitivity between 10^{-21}/\sqrt{Hz} and 10^{-23}/\sqrt{Hz} at around 10 kHz frequency. When appropriately scaling the involved geometrical parameters, the strain sensitivity is proportional to frequency.