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

Christophe Besse; Brigitte Bidégaray-Fesquet; Antoine Bourgeade; Pierre Degond; Olivier Saut

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 38, Issue: 2, page 321-344
- ISSN: 0764-583X

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topBesse, Christophe, et al. "A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP." ESAIM: Mathematical Modelling and Numerical Analysis 38.2 (2010): 321-344. <http://eudml.org/doc/194216>.

@article{Besse2010,

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.
},

author = {Besse, Christophe, Bidégaray-Fesquet, Brigitte, Bourgeade, Antoine, Degond, Pierre, Saut, Olivier},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Nonlinear optics; optical susceptibility; harmonic generation; quantum description of light and matter; nonlinear optical crystals.},

language = {eng},

month = {3},

number = {2},

pages = {321-344},

publisher = {EDP Sciences},

title = {A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP},

url = {http://eudml.org/doc/194216},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Besse, Christophe

AU - Bidégaray-Fesquet, Brigitte

AU - Bourgeade, Antoine

AU - Degond, Pierre

AU - Saut, Olivier

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 2

SP - 321

EP - 344

AB -
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.

LA - eng

KW - Nonlinear optics; optical susceptibility; harmonic generation; quantum description of light and matter; nonlinear optical crystals.

UR - http://eudml.org/doc/194216

ER -

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