Abstract
A computer simulation was implemented to study a phenomenon similar to the effect of superluminality appearing upon interaction of two femtosecond pulses in a medium with combined nonlinearity under the conditions of a nonzero group velocity mismatch. The possibility of the formation of sub-pulses at the fundamental and second-harmonic frequencies, which demonstrate soliton-like propagation with a velocity higher or lower than that of linear pulse propagation in presence of group velocity dispersion, is revealed. It is shown that acceleration of the sub-pulse is due to the induced periodic grating facilitating energy transfer from one wave to the other. An important property of the formed structures is the sensitivity of each of the anomalously propagating sub-pulses to perturbation imposed on the other sub-pulse at a given cross section.
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