We introduced the split-step Fourier method as a tool to solve the pulse-propagation problem in nonlinear dispersive media. Building on the Baker-Hausdorff formula, we have discussed the accuracy of both the standard and the symmetrized split-step Fourier methods that will be used for the numerical simulations. Then we introduced the Fast Fourier Transform (FFT) as an algorithm to compure the Discrete Fourier transform (DFT) in a computer simulation, stressing the role of the sampling frequency and of the maximum time window in terms of frequency resolution and maximum resolved frequency in the conjugate domain.Some examples of FFTs have been discussed
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