A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals : an application to KDP
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 2, p. 321-344

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.

DOI : https://doi.org/10.1051/m2an:2004015
Classification:  78A60,  81V80
Keywords: nonlinear optics, optical susceptibility, harmonic generation, quantum description of light and matter, nonlinear optical crystals
@article{M2AN_2004__38_2_321_0,
     author = {Besse, Christophe and Bid\'egaray-Fesquet, Brigitte and Bourgeade, Antoine and Degond, Pierre and Saut, Olivier},
     title = {A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals : an application to KDP},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {2},
     year = {2004},
     pages = {321-344},
     doi = {10.1051/m2an:2004015},
     zbl = {1081.81127},
     mrnumber = {2069149},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2004__38_2_321_0}
}
Besse, Christophe; Bidégaray-Fesquet, Brigitte; Bourgeade, Antoine; Degond, Pierre; Saut, Olivier. A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals : an application to KDP. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 38 (2004) no. 2, pp. 321-344. doi : 10.1051/m2an:2004015. http://www.numdam.org/item/M2AN_2004__38_2_321_0/