| Issue |
ESAIM: M2AN
Volume 38, Number 2, March-April 2004
|
|
|---|---|---|
| Page(s) | 321 - 344 | |
| DOI | https://doi.org/10.1051/m2an:2004015 | |
| Published online | 15 March 2004 | |
A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP
1
MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France, besse@mip.ups-tlse.fr., degond@mip.ups-tlse.fr., saut@mip.ups-tlse.fr.
2
LMC, UMR 5523 (CNRS-UJF-INPG), B.P. 53,
38041 Grenoble Cedex 9, France, Brigitte.Bidegaray@imag.fr.
3
CEA/CESTA, B.P. 2, 33114 Le Barp, France, Antoine.BOURGEADE@cea.fr.
Received:
28
October
2003
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.
Mathematics Subject Classification: 78A60 / 81V80
Key words: Nonlinear optics / optical susceptibility / harmonic generation / quantum description of light and matter / nonlinear optical crystals.
© EDP Sciences, SMAI, 2004
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