Researches On Vortex Soliton With Inhomogeneous Diffusion And Transmission Of Airy Beam In Dissipative System

Spatial optical soliton,the speciall product with the properties of self-constraint and self-localization in the nonlinear system,can be transmitted into long distance in the fiber with high capacity due of its unique balance.The dissipative spatial soliton is the result solution both of nonlinear balance and and energy balance,namely,a more suitable carrier in the complex system of nature.Dissipative soliton fiber laser can experiently achieve optical pulse output with high power and implement locked mode in great range of parameters.At the same time,the dissipative soliton can allow the existence of high order nonlinear effect and avoid light wave splitting.The rich formation of the abundant pulse species as well as its evolution have been found.Depending on different filed pattern,the propagation of soliton in the dissipative system can exhibit a variety of more unique and applied dynamics.Optical vortex is a special optical beam with helical wave front and phase singularity because of the the exponential term with a phase factor in the model of optical vortex.It is of great significance to study the generation and propagation of optical vortex,particle manipulation,information transmission and other applications.Airy beam have drawn a lot of interest on account of its non-diffraction,self-acceleration and self-heal.It have been applied to the related research of optical clearing,electron acceleration and particle manipulation.In this paper,by means of systematic simulations we demonstrate generation of a variety of ring-shaped optical vortices(OVs)from a two-dimensional input with embedded vorticity,in a dissipative medium modeled by the cubic-quintic complex Ginzburg-Landau equation with an inhomogeneous effective diffusion(spatial-filtering)term,which is anisotropic in the transverse plane and periodically modulated in the longitudinal direction.We show the generation of stable square-and gear-shaped OVs,as well as tilted oval-shaped vortex rings,and string-shaped bound states built of a central fundamental soliton and two vortex satellites,or of three fundamental solitons.Their shape can be adjusted by tuning the strength and modulation period of the inhomogeneous diffusion.Stability domains of the generated OVs are identified by varying the vorticity of the input and parameters of theinhomogeneous diffusion.The results suggest a method to generate new types of ring-shaped OVs with applications to the work with structured light.We also research the dynamics of two dimension finite energy and infinite energy Airy beam in the dissipative system and conclude the domains of different evolution.