Fast Non-adiabatic Control Of Nonlinear Optical Solitons

As known,the dynamics of nonlinear optical solitons have very important research significance,and are directly related to the research of optical soliton communication and so on.In the context of soliton compression,adiabatic methods have been explored earlier in various contexts.Recently,Our group proposed the concept of “Shortcuts to Adiabaticity”to accelerate the process of quantum adiabatic,and is widely used in atomic,molecular and photophysics.In this thesis,we will extent the “Shortcuts to Adiabaticity” to optical systems to realize fast and robust compression of optical soliton pulses in nonlinear optical fibers,and the main results are as follows:(1)In this part,the nonlinear Schr?dinger equation in single-mode fiber is taken as the model.To achieve the fast compression of optical soliton pulses,“Shortcuts to Adiabaticity”is designed for the gain/loss of the system.Starting from the soliton solution of nonlinear Schr?dinger equation,the differential equations of the soliton-related parameters(such as width,chirp,velocity,center position,etc.)are obtained by variational approximation,then the width of wave packet is inversely controlled by gain or loss of the fiber.Numerical calculation shows that the compression speed of temporal solitons is increased by a factor of ten compared to conventional adiabatic control.(2)Based on the above methods,the influence of nonlinearity of the optical soliton dynamics is analyzed by using the cubic-quintic nonlinear Schr?dinger equation in nonlinear fiber.By combining the variational method and inverse engineering of shortcuts to adiabaticity,it is proved that the soliton pulse width and the nonlinearity of the medium can be designed to accelerate the compression of the soliton pulse to a large extent.