“…Sudden changes in the time and space references of physical quantities, such as the temperature and pressure of atmospheric turbulence, are the main reasons behind the random fluctuations of the atmospheric refractive index. Therefore, vortex beam propagation in the atmosphere is also subject to the absorption and scattering effects of atmospheric molecules, which produce wavefront distortion [10], beam spreading [11], light intensity scintillation [12], singularities drift [13] and other phenomena, namely, turbulence effects [14][15][16]. However, with a limited receiving aperture, a portion of the topological charge drifts out of the receiving aperture as the beam broadens, thus degrading the beam quality [17,18].…”