Simulation of Output Pulse vs. Transmission Distance in Fiber Lasers Using Split-Step Fourier Method

This article presents the implementation of the Split-Step Fourier Method (SSFM) to simulate the relationship between output pulse characteristics and transmission distance in fiber lasers. The numerical approach involves solving the nonlinear Schrödinger equation through iterative steps where linear operators (dispersion effects) are handled in the frequency domain using Fast Fourier Transforms, while nonlinear operators (Kerr effect, gain) are applied in the time domain. This computational method provides deep insights into fiber laser operation principles and enables exploration of pulse evolution under varying transmission distances. Fiber lasers represent critical optical devices with extensive applications in telecommunications, medical procedures, and material processing. By studying the pulse-distance relationship through SSFM simulation, we can optimize laser performance parameters, enhance stability, and improve efficiency. Key implementation aspects include setting appropriate step sizes, handling boundary conditions, and incorporating gain profiles through spectral filtering functions. This research provides valuable references for fiber laser design and practical applications, with the simulation framework allowing for customization of fiber parameters, pump configurations, and dispersion management schemes.