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

Abstract

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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.

How to cite

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Besse, 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 -

References

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