The Research Of The Influence Hollow Shaping Light On Correlated Imaging System In Atmospheric Turbulence

Correlated imaging is a non-local optical imaging technique,also known as ghost imaging.Compared with traditional optical imaging technology,correlated imaging has many advantages such as object and image separation,high resolution and strong anti-jamming ability,so it has a wide range of application prospects,such as remote sensing,military,atmospheric satellite communication,and so on.However,in the process of practical application,correlated imaging cannot avoid the interference of atmospheric environment,such as atmospheric turbulence.Therefore,it has great practical significance to study the correlated imaging system under atmospheric turbulence and put forward the corresponding optimization scheme,which will contribute to the practical application of correlated imaging.This paper mainly studies the influence of hollow shaping light on lensless correlated imaging system in atmospheric turbulence,such as hollow Gaussian light and hollow sinh-Gaussian light,and also analyzes the advantages of hollow shaping light in correlated imaging.The research contents of this paper are as follows:Firstly,according to the theory of correlated imaging,we discuss the theory of lensless correlated imaging system based on hollow Gaussian light under atmospheric turbulence,and derive the analytical formula of point spread function for correlation imaging of hollow Gaussian source under atmospheric turbulence.The advantages of hollow Gaussian source in correlated imaging compared with ordinary Gaussian source in atmospheric turbulence can be obtained by using this formula.Then,we analyze the effect of hollow Gaussian source on lensless correlated imaging in atmospheric turbulence.In weak turbulent conditions,the image quality of the hollow Gaussian source can be improved significantly,although the ordinary Gaussian source can obtain relatively clear correlated images.In addition,the quality of the correlated image decreases obviously under the condition of medium and strong turbulence.It is found that the double-slit image is difficult to distinguish when using ordinary Gaussian source,but relatively clear correlated image can be obtained by using hollow Gaussian source.Therefore,hollow Gaussian light can better suppress the influence of atmospheric turbulence on correlated imaging.Secondly,we also discuss the influence of hollow sinh-Gaussian light on lensless correlated imaging system,and derive the analytical formula of the point spread function of the correlated imaging of hollow sinh-Gaussian source.By Taylor expansion formula,we determine the approximate relation between the order N of hollow Gaussian light and the order n of hollow sinh-Gaussian light is n = 2N,and the numerical simulation is carried out according to the above approximate relation.The results show that compared with the hollow Gaussian source,the hollow sinh-Gaussian source can suppress the atmospheric turbulence more obviously,even in the case of medium and strong turbulence.Therefore,the hollow sinh-Gaussian source can further improve the quality of correlated imaging.Finally,we analyze the advantages of hollow sinh-Gaussian light in correlated imaging.By comparing the analytical formula of the point spread function of correlated imaging of using cosh-Gaussian source and hollow sinh-Gaussian source,it is proved that hollow sinh-Gaussian source has significant advantage in improving the quality of correlated imaging.It is verified by numerical simulation.The results show that the image quality of using the hollow sinh-Gaussian source is always better than that the cosh-Gaussian source.