Dynamics and numerical simulation of optical pulses in the passively mode-locked Er-doped fiber laser.

Passively mode-locked fiber laser has advantages of compactness, simplicity, flexibility and high quality of the output pulse, which provides an excellent research platform for the analysis of optical soliton characteristics. In this paper, the complex cubic Ginzburg–Landau equation (CGLE) is employed to simulate pulse propagation in passively mode-locked Er-doped fiber laser. We use barycentric interpolation collocation method to numerically solve the dark single soliton, dark two-soliton and bright two-soliton solutions, and study the effects of dispersion, nonlinear effects, gain and loss on optical pulse transmission. We discuss the dynamic characteristics of the bright two-solitons and dark two-solitons for the complex CGLE, respectively. The results is of great significance for the study of optical pulse transmission in fiber laser. • The cubic Ginzburg–Landau equation is employed to simulate pulse propagation in passively mode-locked Er-doped fiber laser. • The dark single soliton solution and bright two-soliton solution are numerically solved by barycentric interpolation collocation method. • The dynamic characteristics of the bright two-solitons and dark two-solitons for the cubic Ginzburg–Landau equation are of great significance for the study of optical pulse transmission in fiber laser. [ABSTRACT FROM AUTHOR]