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[1]; Olivier Saut

  • [1] MIP, UMR CNRS 5640, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France.

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2004)

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

Abstract

top
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

top

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 - Modélisation Mathématique et Analyse Numérique 38.2 (2004): 321-344. <http://eudml.org/doc/246047>.

@article{Besse2004,
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.},
affiliation = {MIP, UMR CNRS 5640, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France.},
author = {Besse, Christophe, Bidégaray-Fesquet, Brigitte, Bourgeade, Antoine, Degond, Pierre, Saut, Olivier},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {nonlinear optics; optical susceptibility; harmonic generation; quantum description of light and matter; nonlinear optical crystals},
language = {eng},
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/246047},
volume = {38},
year = {2004},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 2004
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/246047
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.