Propagation d'impulsion laser ultracourtes dans un cristal non linéaire

Olivier Saut (1) , Antoine Bourgeade (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 CESTA - Centre d'études scientifiques et techniques d'Aquitaine

In this paper, we present a mathematical model for ultrashort pulses propagation in nonlinear optical crystals. For ultrashort pulses, classical models based on the slowly varying envelope approximation are no longer relevant. The microscopic model based on the Maxwell-Bloch model, that we present, can accurately describe the wave-propagation while accounting for dispersive nonlinearities. We will describe this model and its numerical discretization in two dimensions of space. Finally, we perform two numerical experiments.

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]; Optique [physics.optics]

Olivier Saut, Antoine Bourgeade. Propagation d'impulsion laser ultracourtes dans un cristal non linéaire. 2007. ⟨hal-00128697⟩