Split-step Fourier transform method in modeling of pulse propagation in dispersive nonlinear optical fibers

The propagation of pulses in optical fibers is described by the generalized nonlinear Schrodinger equation (GNLSE), which takes into account the fiber losses, nonlinear effects, and higher-order chromatic dispersion. The GNLSE is a partial differential equation, whose order depends on the nonlinear and dispersion effects. As this equation is not amenable to analytical solution, the use of numerical integration techniques is mandatory. Different schemes were proposed for the numerical integration of the nonlinear Schrodinger equation. In this work GNLSE is solved by the split-step Fourier transform method (SSFM) which takes the least computation time among all compared numerical schemes for NLSE, when solution varies slowly with time. Finally we simulate the effects of a dispersive nonlinear fiber on the pulse propagation.