Abstract

A closed-form analytical model for the spatiotemporal processes giving rise to soliton pulse formation and compression in an additive-pulse mode-locked coupled-cavity fiber laser systems is presented. The model is based on a modified nonlinear Schrödinger equation for solitons. Perturbation techniques coupled with Fourier transform methods are employed to simplify the solution to the nonlinear Schrödinger equation. The contributions of Gaussian white noise, random noise, group velocity dispersion, and self-phase modulation to the mode-locking process and system performance are described. The model is used to analyze the temporal and spectral characteristics of a 1.55-µm mode-locked soliton fiber laser with a pulse width of 25 ps and a pulse repetition rate of 4 ns, accurately.

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