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

Published online by Cambridge University Press:  15 March 2004

Christophe Besse ,
Brigitte Bidégaray-Fesquet ,
Antoine Bourgeade ,
Pierre Degond  and
Olivier Saut
Christophe Besse
Affiliation:
MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France, [email protected]., [email protected]., [email protected].
Brigitte Bidégaray-Fesquet
Affiliation:
LMC, UMR 5523 (CNRS-UJF-INPG), B.P. 53, 38041 Grenoble Cedex 9, France, [email protected].
Antoine Bourgeade
Affiliation:
CEA/CESTA, B.P. 2, 33114 Le Barp, France, [email protected].
Pierre Degond
Affiliation:
MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France, [email protected]., [email protected]., [email protected].
Olivier Saut
Affiliation:
MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France, [email protected]., [email protected]., [email protected]. CEA/CESTA, B.P. 2, 33114 Le Barp, France, [email protected].
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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.

Keywords

Nonlinear opticsoptical susceptibilityharmonic generationquantum description of light and matternonlinear optical crystals.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 2 , March 2004 , pp. 321 - 344
Copyright
© EDP Sciences, SMAI, 2004

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