Laguerre-Gaussian Beam Correlation Function Analysis Under Wander Perturbations

The paragraph is grammatically correct. The analytical formula for the correlation function of Laguerre-Gaussian beams under independent wander perturbations is derived, revealing the periodic variations in the intensity distribution, average OAM, and OAM spectrum in the direction of wander perturbations. These findings are supported by consistent experimental results. To further investigate the effect of complex wander perturbations on this type of beam, this section also presents experimental research on vortex beams that have been impacted by cross-correlation wander perturbations.