A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP
MIP, UMR 5640 (CNRS-UPS-INSA), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4, France, email@example.com., firstname.lastname@example.org., email@example.com.
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.
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