Study On Propagation Characteristics Of Non-Autonomous Vortex Soliton

Since the concept of vortex was applied in the field of optics, caused intense interest in academia, sparked a research boom in optics vortex. As we know, the electric field intensity of light propagate in optical fiber can be described by nonlinear schrodinger equation (NLSE). Under certain conditions it would emerge vortex soliton due to Self-Trapping. The phase has structure of spiral and the origin is singular, on behalf of the wavefront phase dislocation, center field strength is zero and localized spread in ring form (that is, the field strength is infinite attenuation). Today, light vortex solitons has been observed in experiments.Based on nonlinear self-focusing effect of light transmission equation-(2+1) di-mension variable coefficient nonlinear schrodinger equation for the model, using similarity transformation, first convert (2+1) dimension variable coefficients nonlin-ear schrodinger equation into standard one. According to the known solution of standard equation that variable coefficient nonlinear schrodinger equation can be constructed approximatly self-similar vortex solution, finally discuss the propagation characteristics and interaction of simulation vortex optics soliton by numerical. Specific content summarized as follows:1. Introduction. Introduce the concept and development history of soliton、optics soliton and vortex solitons; main research content and structure arrangement in this article; works that I have completed.2.Single vortex solitons in nonautonomous nonlinear waveguide transmission characteristics. Introduce the basic equation of optics soliton in nonautonomous nonlinear waveguide:nonautonomous nonlinear schrodinger equation(NLSE); introduce the theory research methods we study nonlinear schrodinger equation similarity transformation、Fast Fourier Transform Algorithm(FFT); research propag- ation characteristics of single vortex soliton in nonlinear waveguide.3.Interaction of vortex solitons in nonautonomous nonlinear waveguide.Approximatly solve self-similar vortex solution of nonautonomous nonlinear schrodinger equation, analysis interaction of multiple light vortex solitons in nonlinear medium.4. Summary and perspective. Introduce research results about necklace soliton lately.