Bidimensional study of the Maxwell-Bloch model in a nonlinear crystal
Résumé
This article presents a numerical scheme for a model ([5]) of electro- magnetic wave propagation in a nonlinear optical crystal in two dimensions in space. It uses Maxwell's equations to describe the wave field and Bloch's equations for the medium at the quantum-mechanical level. We have al- ready described the discretization of the model in the unidimensional case in [14]. In this paper, we discretize the model in the bidimensional case, while ensuring a scheme of order 2. Finally, several numerical simulations are performed. We insist on physical effects that could not be observed with an unidimensional model.
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