Abstract

Two optical pulses propagating simultaneously in a planar waveguide with positive Kerr-type nonlinearity and anomalous dispersion are considered. It is assumed that duration of first (second) pulse, referred here to as the short (long) pulse, is in the picosecond (nanosecond) time-domain. The system is modeled by two coupled nonlinear Schrödinger equations: the (1+1)- and (2+1)-dimensional: where ζ is the longitudinal coordinate, τ and ξ are two transverse coordinates, the temporal and the spatial one. The interaction between pulses is assumed to be limited to cross-phase modulation, thus no energy transfer between the pulses is taken into account. Dispersion of the long pulse and the difference in group velocities of the pulses is also neglected.

© 2000 IEEE