# A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP

**38**(2), 321–344 (2004)

Mar 15, 2004·
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Christophe Besse

Brigitte Bidegaray-Fesquet

Antoine Bourgeade

Pierre Degond

Olivier Saut

Abstract

This article presents the derivation of a semi-classical model of electromagnetic-wave propagation in a non centro-symmetric crystal. It consists of Maxwell’s equations for the wave field coupled with a version of Bloch’s equations which takes fully into account the discrete symmetry group of the crystal. The model is specialized in the case of a KDP crystal for which information about the dipolar moments at the Bloch level can be recovered from the macroscopic dispersion properties of the material.

Type

Publication

ESAIM, Mathematical Modelling and Numerical Analysis, **38**(2), 321–344 (2004)