地球引力对高斯光束在半球形腔中传输的影响
Impact of Earth's gravity on Gaussian beam propagation in hemispherical cavities
摘要：
我们从理论上研究了地球上运行的半球形光学腔中重力对激光的影响。光在这种腔中的传播是由高斯光束模拟的，受到地球引力场的影响。在实验室尺度上，这个场是由均匀引力的时空来描述的，称为林德勒时空。在该时空中，光束向下弯曲并获得高度相关的相移。因此，激光的相位波前不同于通常的高斯光束。假设初始光束沿腔的对称轴进入腔，这些引力效应导致光束相位随每个腔往返而变化。详细的计算进行调查如何这些相位变化取决于光束参数和腔的设置。此外，我们讨论了我们的研究结果的影响，腔校准技术和基于腔的激光稳定程序。
英文摘要：
We theoretically investigate the influence of gravity on laser light in a hemispherical optical cavity, operating on Earth. The propagation of light in such a cavity is modeled by a Gaussian beam, affected by the Earth's gravitational field. On laboratory scale, this field is described by the spacetime of homogeneous gravity, known as Rindler spacetime. In that spacetime, the beam is bent downwards and acquires a height dependent phase shift. As a consequence the phase fronts of the laser light differ from those of a usual Gaussian beam. Assuming that the initial beam enters the cavity along its symmetry axis, these gravitational effects cause variations of the beam phase with every cavity round trip. Detailed calculations are performed to investigate how these phase variations depend on the beam parameters and the cavity setup. Moreover, we discuss the implications of our findings for cavity calibration techniques and cavity-based laser stabilization procedures.
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