Lez #15-16: Numerical propagation in linear and non-linear regime

After discussing the split-step Fourier method (in both its standard and symmetrized versions) and its numerical convergence, we evaluated scripts for propagating short pulses using the symmetrized approach. The following cases were presented: (1) propagation in a nonlinear material with no dispersion, including the effects of absorption and/or pre-chirp; (2) propagation in the presence of both dispersion and nonlinearity; (3) propagation in the presence of normal dispersion and nonlinearity, with some pre-chirp; (4) nonlinearity in the special regime of low (but non-vanishing) dispersion; (5) soliton formation.