论文标题

对拟议实验的分析,以在短距离内测量重力速度

The Analysis of a Proposed Experiment to Measure the Speed of Gravity in Short Distances

论文作者

Frajuca, Carlos, Bortoli, Fabio da Silva, Magalhaes, Nadja Simão

论文摘要

为了研究在空气中或通过不同培养基中传播的重力信号的速度,设计了两个实验。其中一个实验包含2个以非常高速旋转的质量,而在另一个实验中,蓝宝石棒将振动,在这两种情况下,它们都会发出定期的潮汐重力信号和一个表现为检测器的蓝宝石装置,这些设备被悬浮在真空中并冷却至4.2 k至4.2 k。蓝宝石检测器设备的振动幅度是通过具有超大相位噪声的微波信号测量的,该信号在检测器设备内的耳语画廊模式中使用共振。蓝宝石具有很高的机械Q和电气Q,这意味着一个非常狭窄的检测带,从而降低了检测灵敏度。这项工作中介绍了检测器设备的新检测器形状,得出了大约一半设备振动频率的检测带。借助有限元程序,可以高精度计算检测器的正常模式频率。结果表明,两个实验设置之间的预期灵敏度相似,但是使用振动质量的实验在频率上更稳定,然后选择实验设置以短距离测量重力速度。然后,该实验以5000 Hz的频率达到10的信号噪声比进行了更精确的分析。

In order to investigate the speed of gravitational signals travelling in air or through a different medium two experiments were designed. One of the experiments contains 2 masses rotating at very high speed and in the other experiment a sapphire bar will vibrate, in both cases they will emit a periodic tidal gravitational signal and one sapphire device that behaves as a detector, which are suspended in vacuum and cooled down to 4.2 K will act as a detector. The vibrational amplitude of the sapphire detector device is measured by an microwave signal with ultralow phase-noise that uses resonance in the whispering gallery modes inside the detector device. Sapphire has a quite high mechanical Q and electrical Q which implies a very narrow detection band thus reducing the detection sensitivity. A new detector shape for the detector device is presented in this work, yielding a detection band of about half of the device vibrational frequency. With the aid of a Finite Element Program the normal mode frequencies of the detector can be calculated with high precision. The results show a similar expected sensitivity between the two experimental setup, but the experiment with the vibration masses is more stable in frequency then it is chosen for the experimental setup to measure the speed of gravity in short distances. Then a more precise analysis is made with this experiment reaching a signal-noise ratio of 10 at a frequency of 5000 Hz.

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