The Management And Transmission Of The Exact Nonautonomous Solitons In Nonuniform Fiber Systems

Theoretical and experimental results show that optical soliton originates from the subtle balance between the dispersion and nonlinearity in fiber. It maintains its shape and characteristics unchanged during propagation, and it is considered as an ideal carrier for long-distance and high-speed optical communication. Recently, the nonautonomous soliton is generally studied, and its unique physical properties attract extensive attention. Especially, the study of management and control of the nonautonomous soliton is one of focus of the research.In this paper, based on the nonautonomous nonlinear Schrodinger equation, we numerically and analytically study the evolution properties of nonautonomous solitons under the management of the dispersion, the nonlinearity, the Self-induced Raman Scattering (SRS) and the external electrooptic phase modulation in nonuniform fiber systems.The main contents are as follows:(1) Introduce the model and solving method of the nonautonomous solitons, and review the research progress of the nonautonomous solitons.(2) Consider a nonautonomous system under the management of the dispersion, the nonlinearity and the Self-induced Raman Scattering (SRS), and present the exact nonautonomous Raman colored soliton solution. Based on the exact solution, we find that both the wave center and the wave number of the soliton are related to the dispersion, the nonlinearity and the SRS, but the soliton frequency shift is only determined by the SRS, which implies that the SRS dominates the self-frequency shift of the nonautonomous Raman colored solitons and leads to the colored soliton. In addition, we numerically discuss the stabilities of the nonautonomous Raman colored solitons.(3) Consider three nonuniform management systems with dispersion increasing fiber, nonlinearity decreasing or both nonlinearity and dispersion decreasing, respectively, and present the corresponding exact nonautonomous soliton solutions by a simple transformation. Based on the exact solutions, we study the transmission characteristics of the nonautonomous solitons in nonuniform fiber systems. The results show:the pulse widths of the nonautonomous soliton can be compressed in inhomogeneous nonlinearity increasing or dispersion decreasing fiber systems. The unchirped nonautonomous soliton exist in both dispersion and nonlinearity decreasing fiber system. Simultaneously, numerical simulation results further show that these three inhomogeneous management systems may support the transmission of the nonautonomous solitons. The obtained results provide a theoretical basis for achieving soliton compression and transmission in real inhomogeneous soliton management systems.