Temporal solitons in χ_(2) materials with tilted pulses

Abstract

We investigate the possibility of obtaining temporal bright solitons in three-wave parametric interaction by using the pulse tilt to modify the effective dispersion of the nonlinear crystal. We show that, in the large-beam approximation, the temporal evolution of the tilted pulse can be described by (1+1)-dimensional equations, which account for the tilt by means of effective group-velocity mismatch and dispersion coefficients. Numerical calculations show that the soliton regime is accessible in several experimental conditions. The limit of the (1+1)-dimensional approximation is investigated with the aid of a (2+1)-dimensional model.