Using gravitational light deflection in optical cavities for laser frequency stabilization

We theoretically investigate the propagation of light in the presence of a homogeneous gravitational field. To model this, we derive the solutions of the wave equation in Rindler spacetime, which account for gravitational redshift and light deflection. The developed theoretical framework is used to explore the propagation of plane light waves in a horizontal Fabry-Perot cavity. We pay particular attention to the cavity output power. It is shown that this power depends not only on the input frequency, but also on the vertical position of a detector. We state that the height-dependent detector signal arising from the cavity internal light deflection effect (CILD-effect) also opens a new alternative way to frequency stabilization in Earth-based laser experiments and to study gravitational light deflection at laboratory scales.