Research On Optical Vortex Solitons In A Fractional Complex Ginzburg-Landau System

The main content of this paper is to explore the stable or unstable optical solitons generated by elliptical vortex beams under different parameters.Because the optical solitons produced by elliptical vortex beams have good application prospects in optical devices.Therefore,the spatial optical soliton characteristics of elliptical vortex beam incident in fractional complex coefficient cubic and quintic Ginzburg-Landau system are studied in this paper.Our present work has never been studied by others,which proved new properties of spatial optical solitons and has enough innovation.In this work,we obtain the propagation dynamics of elliptical vortex solitons in different parameter ranges by using the split step Fourier method commonly used in the field of nonlinear optical transmission,and summarize its laws in detail.The main work of this paper about elliptical vortex optical soliton and includes the following three parts:1.When the Lévy index(LI)is less than 1 and the topological charge number is 1 and 2,we find the range of parameter regions that can be generated by stable spatial optical solitons.They include dissipative fundamental single soliton,dipole optical soliton,triode optical soliton and quadrupole optical soliton,which can transmit stably over a long distance.These spatial optical solitons exist under the appropriate values of other parameters and the elliptic coefficient of elliptic vortex beam.2.When the LI is greater than 1 and the topological charge number is 1 and 2,we find that there is still a stable fundamental wave single soliton.In addition,the existing dipole optical soliton and triode optical soliton can not transmit completely stably.Finally,we find that the quadrupole optical soliton disappears in this case.3.When the topological charge number s is from 1 to 4,by adjusting other parameters of the system,the elliptical vortex beam incident into the dissipative medium can gradually evolve into a circular vortex beam and maintain its stable circular shape.We reveal the effects of LI and elliptic coefficient on the generation of stable circular annular vortex solitons,and find the corresponding parameter region.Since Ginzburg-Landau is an important nonlinear model,which exists in many systems such as optics,condensed matter physics,superconductivity and plasma.Therefore,the results of this paper have good application value in the fields of optical information processor,optical tweezers micro nano control technology,condensed matter physics and plasma,and in particular can proved important theoretical results for exploiting new optical devices.