Transmission Characteristics Of The Chirped Peregrine Rogue Wave

Study on optical rogue waves is based on the nonlinear Schr?dinger equation firstly,which is mainly used to describe the transmission characteristics of the pulse in ideal fiber when the pulse width is larger than 100 fs.And the first-order Peregrine rogue wave obtained from the theoretical model is studied in many fields.Recently,our team members have studied the influence of self-steepening,self-frequency shift and Raman gain on the Peregrine rogue wave transmission characteristics.In 2013,Guangye Yang used the background removal method in time and frequency domain and obtained the high power pulse.However,when the pulse width is smaller than 100 femtosecond,the standard nonlinear Schr?dinger equation can not be used to describe the propagation of optical pulse in optical fiber,and the higherorder effects of optical pulse in transmission can not be ignored.Therefore,the nonlinear Schr?dinger equation with high-order effects and the characteristics of the first-order rogue wave solution are the main research directions.Based on the nonlinear Schr?dinger equation with the Raman effect and cubic-quintic nonlinear effects,the chirped Peregrine rogue wave solutions are obtained.The differences between the general and chirped Peregrine rogue wave are discussed.The results show that the chirp presents this solution with complex form and oscillation in the background wave,and the other characteristics are almost same to the general Peregrine rogue wave.Then the split-step Fourier transform method is used to simulate the influence of the self-steepening effect and Raman gain on the chirped Peregrine rogue wave transmission characteristics.The results show that the high-order effects do not affect the place of the chirped Peregrine rogue wave.But the self-steepening effect will make the split pulses no longer symmetry at t=0,and the center position offset.The distance between the split pulses is changed irregularly.The Raman gain makes the peak power of the split pulses increase and the increased level of the left side pulses is higher than the right side.At last,the background removal method in time domain is used to remove the background of the chirped Peregrine rogue wave.And the influences of the self-steepening effect and the Raman gain on the extracted high-power pulse are studied in detail.The results show that the self-steepening effect affects the distance between the extracted high-power pulse and the stable oscillating transmission.And the Raman gain affects the peak power of the extracted high-power pulse.