Measuring metric stretching in an accelerated reference frame via a Michelson interferometer with high-order Bessel–Gaussian beams

We analyze a Michelson interferometer with Bessel-Gaussian vortex beams, where acceleration of the reference frame perturbs the interference pattern of the two Bessel-Gaussian vortices with opposite topological charges. The reversal of topological charge in one arm is due to the vortex phase-conjugating mirror being composed of two double passes through the cylindrical lens. The tiny changes of the space metric are time dependent. The variations of the optical path difference induce rotation of the daisy flower interference pattern. The additional Fabry-Perot cavities in both arms of this vortex Michelson interferometer are shown to amplify the tiny changes of the optical path difference, thereby improving the overall sensitivity of the interferometer.