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arXiv 2002.02170gr-qcphysics.optics
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地球上laser腔实验中的引力光偏转

Gravitational light deflection in Earth-based laser cavity experiments

Sebastian Ulbricht, Johannes Dickmann, Robert A. Müller, Stefanie Kroker, Andrey Surzhykov

摘要:

从爱因斯坦的广义相对论可知,光在大质量物体中的传播受到引力的影响。在这项工作中,我们讨论了引力光弯曲的影响是否可以在地球上的实验中观察到,使用高精细光学腔。为了做到这一点,我们从理论上研究了电磁波在均匀引力场时空中的动力学,并给出了高斯光束传播的修正的解析表达式。这个理论框架被用来计算在输出的法布里-珀罗腔的强度分布,并估计腔输出信号上的地球引力的印记。特别是,我们发现,重力导致的输出强度分布的不对称性。在此基础上,我们讨论了一个测量方案,可以实现的设施,如GEO 600引力波探测器和AEI 10米探测器原型。

英文摘要:

As known from Einstein's theory of general relativity, the propagation of light in the presence of a massive object is affected by gravity. In this work, we discuss whether the effect of gravitational light bending can be observed in Earth-based experiments, using high-finesse optical cavities. In order to do this, we theoretically investigate the dynamics of electromagnetic waves in the spacetime of a homogeneous gravitational field and give an analytical expression for the resulting modifications to Gaussian beam propagation. This theoretical framework is used to calculate the intensity profile at the output of a Fabry-Pérot cavity and to estimate the imprints of Earth's gravity on the cavity output signal. In particular, we found that gravity causes an asymmetry of the output intensity profile. Based on that, we discuss a measurement scheme, that could be realized in facilities like the GEO600 gravitational wave detector and the AEI 10 m detector prototype.

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