Laser technology has been widely used in many fields such as defense,medicine,and communication,and has played an important role in promoting social development and progress.As research into laser-related applications continues to deepen,it has been discovered that lasers with high coherence can have some negative effects.For example,lasers with high coherence are prone to interference and diffraction,leading to speckle phenomena,and are easily affected by atmospheric turbulence during transmission,causing wavefront distortion.By appropriately reducing the coherence of the laser,not only can its original characteristics be preserved,but also many negative effects caused by high coherence can be reduced.Therefore,coherence can be considered as an optical parameter of the optical field,in addition to other optical parameters such as amplitude,polarization,and phase.This type of controllable optical field with coherence is called partially coherent light.When the coherence of the light source is reduced,the interference and diffraction effects of the light beam are weakened,which means that partially coherent light beams with low coherence have strong robustness to obstacles,turbulence,and scattering during transmission.Unlike traditional fully coherent Airy beams,there is a special correlation structure of partially coherent Airy beams,and their intensity and coherence distribution follow the Airy distribution.Therefore,we studied the self-healing properties of partially coherent Airy beams after being blocked by obstacles during transmission.When the main lobe of the partially coherent Airy beam is blocked by an opaque Gaussian obstacle,the main lobe of the beam will recover after a certain distance of transmission,and the degree of recovery increases with the increase of the propagation distance.Numerical results show that partially coherent Airy beams have stronger self-healing ability than traditional fully coherent Airy beams.In addition,the self-healing ability of partially coherent Airy beams is enhanced as the coherence of the light source decreases.This is applicable to obstacles placed on the light source plane or path.We also studied a type of partially coherent vortex beam with a special correlation structure.The coherence structure of this type of beam is the Sinc radial correlation.The propagation properties of this partially coherent beam in atmospheric turbulence were numerically simulated.The results show that compared with partially coherent Gaussian vortex beams,this beam has a more stable intensity distribution,smaller waist divergence,and stronger robustness to atmospheric turbulence.In summary,this project mainly focuses on the study of self-healing and turbulence resistance of special correlation parts of coherent beams,which can provide constructive suggestions for the application of partially coherent Airy beams and special correlation vortex beams in the fields of space optical communication,particle trapping,and material processing. |