Research On Self-focusing Characteristics Of Airy Beam

In recent years,the emergence of self-accelerating Airy beam has enabled laser beam to propagate along curved paths in free space.It has ability to keep diffraction free when it experiences secondary lateral offset in the process of propagation.Airy beam has attracted great attention of many researchers because of its three optical singularity characteristics: self-repair,self-bending and non-diffraction.The beam has a wide range of applications in the fields of super-resolution imaging,optical bullets,particle manipulation and biomedicine.Using its self-bending property,Airy beam can produce self-focusing beam.The effect of self-focusing on the propagation of Airy beam and airy array beams is of great significance,which widens its application field.The main research work and conclusions are as follows:Firstly,this thesis introduces the research background,significance and application prospect of Airy beam.Three characteristics of Airy beam are analyzed.1.The theory of radial symmetric self-focusing beam is described,the mathematical design and implementation scheme of radial symmetric self-focusing based on Airy beam are studied.2.The trajectory,phase design and transmission process simulation of self-focusing beams with different acceleration trajectories are proposed.At the same time,the spot size,light intensity and focusing depth of the designed self-focusing beams at the focal position are deeply studied and compared.It is found that the laws obtained by different design methods are slightly different.In general,with the increase of n,the curvature of the propagation trajectory increases and the focus depth decreases.However,with the increase of orbital curvature,the intensity of most beams will increase.According to these laws,the application scenarios of different types of self-focusing beams are summarized.3.The propagation characteristics of self-focusing beam under atmospheric turbulence are analyzed.It is found that under the same turbulence scale,the anti-turbulence effect of self-focusing beam at the focus is generally better than that of Gaussian beam,and the smaller the acceleration trajectory,the better the anti-turbulence effect.