A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals : an application to KDP
Besse, Christophe ; Bidégaray-Fesquet, Brigitte ; Bourgeade, Antoine ; Degond, Pierre1 ; Saut, Olivier
1 MIP, UMR CNRS 5640, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France.
ESAIM: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 2, pp. 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 : 10.1051/m2an:2004015
Classification : 78A60, 81V80
Mots-clés : nonlinear optics, optical susceptibility, harmonic generation, quantum description of light and matter, nonlinear optical crystals
Besse, Christophe  ; Bidégaray-Fesquet, Brigitte  ; Bourgeade, Antoine  ; Degond, Pierre 1 ; Saut, Olivier 

1 MIP, UMR CNRS 5640, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France. 
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     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: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {321--344},
     publisher = {EDP-Sciences},
     volume = {38},
     number = {2},
     year = {2004},
     doi = {10.1051/m2an:2004015},
     mrnumber = {2069149},
     zbl = {1081.81127},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/m2an:2004015/}
}
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%A Degond, Pierre
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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: Modélisation mathématique et analyse numérique, Tome 38 (2004) no. 2, pp. 321-344. doi : 10.1051/m2an:2004015. http://www.numdam.org/articles/10.1051/m2an:2004015/

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