Transmission Characteristic And Application Research On Peregrine Rogue Wave In Nonlinear Optic Fiber System

Rogue wave is a kind of peculiar natural phenomenon which was originally arising from ocean.Its related theory has been researched extensively in ocean wave theory.The model used to describe the deep water is nonlinear schr?dinger equation of which rational fraction solution depicts the features of Rogue wave.It has the localized structure both in time and space,and shows the strong time compression and power increasing.The feature of high amplitude attracts much attention and research on rogue wave in different fields.At present,the research on rogue wave focus mainly on two aspects: one is to calculate the analytical solution for rogue wave on different models,the other is to produce rogue wave in experiment.In general the research on rogue wave solution extends from scalar models to coupled models,from basic models to establish the hierarchy of high-order systems.The research on exact solution of rouge wave reveals the nature and feature of rogue wave further which not only confirm the existence of rogue wave,but also lay theoretical foundation on the generation of rogue wave in experiment.By making an analogy of extreme wave in optics with it in ocean,it can provide possibility to explore the dynamics of the extreme behavior in optics experiment platform.It can in turn spur the research and explores on rogue wave in other fields.Recently related theory on rogue wave had been deeply investigated in fiber system and generated rogue wave in experiment.All of the studies provide the importance reference value on rogue wave application in optics.The paper based mainly on(high-order)nonlinear schr?dinger equation and focused on the generation and stable transmission of high power pulse trains which were excited by appropriate initial conditions in fiber.Based on the rogue wave generation mechanism,it realized the directly amplification and reshaping of optical pulse especially the ultra-short optical pulse.The results further enriched the research contents on rogue wave in fiber and provided the important theoretical guidance for long-distance,high capacity and ultrafast all-optical technology in modern optical communication system.In this paper,we mainly focus on three parts as follows:1.It mainly investigates the generation and stable transmission of the high power pulse trains in this paper.Beginning with the generation of high power pulse and then it introduces the generation of high power pulse trains.First,based on the integrable Hirota equation,it demonstrates the generation of high power pulse trains growing from weakly and strongly modulated continuous waves.The results show that the pulses extracted from the maximally compressed positions can propagate preserving their shape by way of delay-line method to eliminate the background.Second,it extends the method to non-integrable higher order nonlinear schr?dinger equation and discusses the influence of Raman effect on the high power pulse trains.Besides,it also discusses the influence of the modulation intensity under two initial conditions on the maximum compression position,peak power and the frequency shift of the high power pulse trains.At last,taking consideration of the transmission in real fiber,it analysises the effect of fiber loss to the transmission of high power pulse trains.2.When the pulse is transmitted in real fiber,it needs to take the fiber loss into consideration.Under the impact of fiber loss the amplitude of the optical pulse will decrease,which should be amplified to realize the long-distance transmission.Based on the generation mechanism of Peregrine rogue wave,it puts forward a new way to implement the optical amplification.First,it discusses the fundamental theory to realize the optical amplification.In framework of the theory basis,it realizes the amplification and reshaping of initial optical soliton based on the standard nonlinear schr?dinger equation.The results show that the combination of continuous wave pumping and spectral filter can realize the optical amplification.By adjusting the position of spectral filter,it can acquire the zero-background pulses with different peak powers.Last,in order to realize the periodic amplification of optical soliton to realize the long-distance transmission,taking four classes amplification as an example,it realizes the periodic amplification of initial optical soliton by plane wave periodically pumping and discusses the implementation of the amplification with the existence of noise.It further testifies the feasibility of the amplifier.3.The results made in the fourth chapter is extended to the higher order nonlinear schr?dingere quation.When the injected optical pulse is in femtosecond regime,it needs to consider the influence of higher-order effects to the amplification.It realizes the direct amplification of femtosecond pulse by the combination of plane wave pumping and spectral filter which is clarified clearly in the fourth chapter and further verifies the advantages of the optical amplifier.Second,it discusses the influence of higher-order effects on the amplifier performance and the result shows that it will not affect the realization of optical pulse amplification but it can cause the shift in temporal domain of the amplified pulse and reshaped pulse due to Raman effect.The larger of Raman effect,the larger of the shift.At last,it still takes four classes amplification as an example to implement the periodic amplification of femtosecond pulse to realize the long-distance transmission of optical soliton.