Precise Solution of Nonlinear Schrödinger Equation for Ultrashort Pulse Propagation Using SSF Algorithm

The Split-Step Fourier (SSF) algorithm provides an accurate numerical solution for the nonlinear Schrödinger equation governing ultrashort pulse propagation in optical fibers. This research holds significant reference value for the photonic communications field. The SSF method employs an efficient operator-splitting technique that alternates between linear and nonlinear propagation steps in the frequency and time domains respectively. Through implementing this algorithm with appropriate step size control and dispersion management, we can comprehensively analyze ultrashort pulse behavior in fiber optic media. The computational approach involves discretizing the propagation path into segments where linear effects (dispersion) are handled in Fourier space using FFT operations, while nonlinear effects are computed in the time domain. This investigation provides robust support for designing and optimizing photonic communication systems, contributing to advancements in optical fiber communication technology and fostering innovation in future photonic communication systems.