Research On The Spatial Beam Splitting Based On The Propagation Properties Of Airy Beam In Nonlocal Media

With the deepening researches on the field of Airy beam in nonlinear beam transmission,the researchers found that multi-solitons can be shed from an Airy beam in nonlinear media,which has potential applications in the field of spatial beam splitting.Furthermore,the Airy beam has attracted considerable attention,because it has a lot of peculiar properties,such as non-dispersion on the long transmission distance,self-healing characteristic of strong anti-interference and self-accelerating on a parabolic trajectory.The intensity distribution of Airy beam differs from the unimodal structure,that presents a multi-peak structure.In reality,many soliton-supporting nonlinear systems display a highly nonlocal response.It is known that nonlocal spatial solitons are observed in liquid crystal,photo-refractive materials,Bose-Einstein condensation,etc.The propagating dynamics of solitons in a nonlocal media present many unique properties which do not appear in a local media.In this article,we combined the Airy beam with the nonlocal medium,and discussed the spatial beam splitting on the propagation properties of Airy beam in nonlocal media by using the nonlocal nonlinear Schrodinger model.Firstly,according to the nonlocal nonlinear Schrodinger equation,we studied the propagation of Gaussian beam and Airy beam under the condition of the nonlocal parameters of plus or minus.We found that the transmission of unimodal Gaussian beam presents symmetric distribution when the nonlocal parameter is positive and negative.But the light intensity distribution of multi-peak Airy beam shows great difference with the selected nonlocal parameters of positive and negative,when the nonlocal parameter is positive,multi-solitons can shed from truncated Airy beam.Secondly,we studied the influence of the nonlocal parameter on the multi-solitons which shed from Airy beam,the effect of nonlocality can be controlled by changing the size of the nonlocal parameter.With the increase of the nonlocal parameters,the range of nonlocal effect will become greater,and the number of the solitons will be changed.The initial parameters of truncated coefficient and the incident energy determine the propagation characteristics of the Airy beam to a great extent,by changing these two parameters,the shedding solitons can be directly affected.The smaller the truncated coefficient is,the more obvious the multi-peak structure of the Airy beam is,and the larger the side lobe energy is,the more number of solitons will be generated.With the increase of the initial light intensity,the peak power of each lobe of the Airy beam will be increased,and the number of shedding solitons will also increase.Finally,we analyzed the stability of the process on the multiple solitons shedding from Airy beam,and proposed a feasible scheme for spatial beam splitting.Under certain conditions,we obtained the intensity threshold of the main lobe and the side lobes of Airy beam and the factors related to the intensity threshold.When the initial Airy beam is disturbed by varying the launching angle,either clockwise or counterclockwise deflection,the number of shedding solitons does not change,which makes the process of the multi-solitons shedding in nonlocal nonlinear media has a high stability.So,we proposed a scheme for designing a spatial frequency splitter based on the nonlocal medium,which can be used to transform the Gauss beam into spatial multi-solitons.