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, Pierre ; Saut, Olivier
HAL, hal-00018460 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  MSC: 78A60, 81V80,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00018460,
     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 = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00018460}
}

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. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00018460/