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Overview: In recent years, vortex beams have gradually become a research focus of information optics, due to its wide range of application prospects in micro particle control, optical communication, quantum spiral imaging, and remote sensing detection etc. When the laser beam incident on the rough surface, many flickering spots are appearing, which are called laser speckle. Speckle is a common phenomenon in the field of optics. The formation of speckle is due to the interference between multiple scattered light beams after multiple scattering in inhomogeneous medium. Through the study of speckle field, the information of scattering medium and beam can be reflected. At present, the research on the speckle field of vortex beam is mostly based on the speckle theory to analyze the characteristics of speckle. However, the field distribution and dark hollow singularity of vortex beam passing through random rough surface are changed, and the influence of parameters of rough surface on the intensity distribution of vortex beam is rarely reported. In addition, in the laboratory, the partially coherent vortex beam is usually generated by vortex beam after passing through the rotating ground glass with a random surface. In some practical applications, the intensity distribution of the beam needs to be reshaped to obtain the intensity distribution with a special shape. Therefore, the research on the intensity distribution of the vortex beam passing through the random surface is of great significance for the application of the vortex beam.
Based on the theory of angular spectrum representation, the non-Gaussian rough surface is simulated by Johnson transfer system, and the field distribution characteristics of Laguerre-Gaussian vortex beams passing through the random non-Gaussian rough surface are studied. The effects of the direction correlation length, kurtosis, skewness and root mean square roughness of non-Gaussian rough surface on the field distribution of the vortex beam are analyzed. The range of the root mean square roughness is studied when the intensity distribution of the vortex beam passing through the random rough surface changes, and the corresponding experiment is carried out. The experimental data are compared with the simulation results. The results show that when the direction correlation length of non-Gaussian rough surface is 20 mm, the skewness is 0.001, the kurtosis is 6, and the root mean square roughness is more than 0.12 mm, the intensity distribution of the Laguerre-Gaussian beam passing through the random surface no longer keeps the hollow distribution, and the corresponding phase singularity disappears.
Non-Gaussian roughness surface
Intensity distributions of Laguerre-Gauss beams with different topological charges after passing through the random rough surfaces at different distances
Intensity distributions of Laguerre-Gauss beams after passing through the random rough surfaces with different direction correlation lengths
Intensity distributions of Laguerre-Gauss beams after passing through the random rough surfaces with different kurtosis
Intensity distributions of Laguerre-Gauss beams after passing through the random rough surfaces with different skewness
Intensity distributions of Laguerre-Gauss beams after passing through the random rough surfaces with different root mean square roughness
Effects of root mean square roughness on intensity distributions of Laguerre-Gauss beams after passing through the random rough surfaces
Experimental set-up of the vortex beam passing through the GGD
Intensity distributions of vortex beams with different topological charges after passing through the GGD with different grits