Temporal solitons in χ(2) materials with tilted pulses

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, (C) 1999 Optical Society of America [S0740-3224(99)00602-5].