Differential evolution algorithm-based aberration correction method for the interference of vortex beams

The generation and propagation of vortex beams in real free space can be distorted by factors such as atmospheric turbulence and imperfections in the optics, resulting in wavefront distortions and negative effects on the interferogram. To correct the wavefront aberration introduced by the errors, an aberration correction method for the interference of vortex beams, based on the differential evolution algorithm, is proposed. The proposed method can derive the aberrations and correct them in vortex interference by compensating for the vortex wavefront with high accuracy and can be used in the presence of noise. The simulation and experimental results showed that the systematic errors introduced in the vortex light interference can be effectively corrected by introducing the compensated phase calculated into the optical system, resulting in a more ideal interference light intensity and recovered wavefront. This method can effectively improve the accuracy of various precision measurements based on the vortex interference principle and provide a new concept for aberration correction in interference of vortex beams.