Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems

Abstract

We feature the stationary solutions of the 3D complex cubic-quintic Ginzburg-Landau equation (CGLE). Our approach is based on collective variables approach which helps to obtain a system of variational equations, giving the evolution of the light pulses parameters as a function of the propagation distance. The collective variables approach permits us to obtain, efficiently, a global mapping of the 3D stationary dissipative solitons. In addition it allows describing the influence of the parameters of the equation on the various physical parameters of the pulse and their dynamics. Thus it helps to show the impact of dispersion and nonlinear gain on the stationary dynamic.

Effects of Dissipative Terms on Dissipative Soliton Resonance Curve

“…Higher-order dissipative terms are responsible for the nonlinear transmission characteristics of the cavity, which allows, for example, passive mode locking. This equation admits stationary [14] pulsating [15] and many other types of soliton solutions [16]. Thus, transitions between them occur in the form of sequences of bifurcations [2] [15].…”