Group velocity dispersion in three-wave resonance interaction equations: application to optical parametric frequency conversion

Abstract A simple numerical method is developed for simulating three-wave mixing optical parametric frequency conversion (OPFC) processes including group velocity dispersion. Relying on a space-time exchanged symplectic integrator formalism, the frequency dependence of group velocities of the light pulses is successfully taken into account in the standard theoretical model for the OPFC processes, namely, the three wave resonance interaction equations. Numerical simulations of sub-50 fs pulses based on the developed method show that the group-velocity dispersion can alter not only the temporal profiles of the interacting pulses but also the overall conversion efficiency.