The Interactions Between Optical Bullets In Dissipative System

Nonlinear science now almost extends to every filed of both natural and social science,soliton theory is one of its important branches.Solitons appear widely in the nature and find their applications in many fields such as solid physics,optics,biology and so on.Especially,it exhibits potential applications in information processing and telecommunication in the near future.The concept of dissipative solitons is the combination of soliton science,the theory of dissipative system and “self-organization”.The condition of dissipative soliton formation in dissipative system is not only the balance between nonlinearity and dispersion,but also the balance of system’s energy gain and loss.So the dissipative solitons exist only in the presence of a continuous energy exchange between system and external source.The concept of dissipative optical bullets refers to a spatiotemporal optical soliton.When two optical solitons mix together,a new double bullet whose localized structure is also stationary,pulsating,and rotating will be appeared.Therefore,it is important to study the interactions between dissipative optical bullets.In this thesis,we used the complex cubic-quintic Ginzburg-Landau equation as a model to study the interactions between two dissipative optical bullets,we simulated the central collision between the optical bullets,we observed three characteristics of optical bullets:fusion,splitting and quasi-elastic collisions.The optical bullets disappear whether or not rely on the energy of solitons,namely the system parameter.in addition,we studied the impact of phase difference on the velocity of optical bullets during the collision.Finally,the collision of two dissipative optical bullets was simulated by using the three-dimensional Ginsburg-Landau equation and increasing the time of their evolution.As a result,we found that the two interacting optical bullets will produce either an optical bullet,or a double bullet,or two double bullets corresponding to different initial velocities.With the increase of the initial velocity,the energy of optical bullets will fluctuate greatly during interaction,but it will eventually reach a state of periodic change of its own energy.