Studies On Evolution Of Temporal Electromagnetic Solitons In Nonlinear Left-Handed Materials

The study of left-handed materials(LHMs)has been a subject of great attention because of the peculiar electromagnetic properties in recent years.The nonlinear effects of left-handed materials is the basis of a number of new-type applications.Thus far,as an important model of the nonlinear properties of left-handed materials,the study of the evolution of temporal electromagnetic soliton,however,has not been taken under consideration sufficiently.In order to further model the transmission of the electromagnetic field in left-handed materials,it is necessary to study the evolution of the temporal electromagnetic soliton in LHMs.This dissertation presents study on the evolution of the temporal electromagnetic soliton in nonlinear left-handed materials,of which work and conclusions include:(1)For the research of the evolution of dark temporal electromagnetic soliton in LHMs,first,the model of disturbed dark temporal electromagnetic soliton and interaction model of dark temporal electromagnetic soliton and bright temporal electromagnetic soliton are built.Mathematical analysises demonstrate that the expressions of the two models are not solution of the coupled nonlinear Schr?dinger(CNLS)equations.Evolution simulation designed and performed for the disturbed dark temporal electromagnetic soliton model shows a envelop steepening phenomenon on the back wing of the dark temporal electromagnetic soliton.Evolution simulation designed and performed for the dark-bright temporal electromagnetic soliton interaction model shows an unusual "reflection" process in the interaction of the dark temporal electromagnetic soliton and bright temporal electromagnetic soliton model in LHMs.(2)In research of the interaction of two bright temporal electromagnetic solitons with the same envelope in LHMs,a general model of two bright temporal electromagnetic solitons with the same envelope is built,Properly choosing parameters of the general model,the "low-and high-" amplitude soliton disturbed types of general model are obtained.Simulations of both "low-" and "high-" amplitude soliton disturbed models demonstrates the phenomenon of "mutual cross" in the interactions.Then,choosing proper parameter value,the interaction model of two bright temporal electromagnetic solitons with the same envelope is built,mathematical analysis demonstrates that the model expression is not solution of the CNLS.Simulation shows that the evolution of this model in LHMs complies with "elastic scattering" principle.(3)From analysis of the interaction problems of multi-pulse complex systems consisting of temporal electromagnetic solitons and quasi-soliton electromagnetic pulses,First,six fundamental interactions can be summarized for the interaction problem of the complex system of multiple electromagnetic pulses.Then,five interaction models are built for the corresponding fundamental interaction,and mathematical analysis demonstrates that the five model expressions are all not the solution of the CNLS.Finally,simulations are designed and performed for the evolution of these fundamental interaction models,the simulation results show that temporal electromagnetic solitons and quasi-soliton electromagnetic pulses of these models exhibit stability of the evolution envelop and speed after interaction in LHMs.(4)On basis of the research of fundamental interaction models in LHMs,the multi-pulse complex systems consisting of temporal electromagnetic solitons and quasi-soliton electromagnetic pulses are discussed: three typical multi-pulse complex systems can be summarized for the complex system of multiple electromagnetic pulses,and electromagnetic pulses of the typical multi-pulse complex systems may experience two or multiple interactions in the evolution of the model in LHMs.Then,simulations are designed and performed for the evolutions of the three typical multi-pulse complex systems in LHMs respectively.The evolution of the three typical models in the simulations shows that temporal electromagnetic solitons and quasi-soliton electromagnetic pulses exhibit stability of the evolution and speed of pulse after experiencing the two or multiple interactions in the evolution of the models in LHMs.