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

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...

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Bibliographic Details
Published in:ESAIM. Mathematical modelling and numerical analysis 2004-03, Vol.38 (2), p.321-344
Main Authors: Besse, Christophe, Bidégaray-Fesquet, Brigitte, Bourgeade, Antoine, Degond, Pierre, Saut, Olivier
Format: Article
Language:English
Subjects:
78A60
81V80
Anisotropy
Crystals
Exact sciences and technology
Fourier transforms
Fundamental areas of phenomenology (including applications)
harmonic generation
Lasers
Mathematical Physics
Mathematics
nonlinear optical crystals
Nonlinear optics
Numerical Analysis
optical susceptibility
Optics
Physics
Propagation
Quantum description of interaction of light and matter
related experiments
quantum description of light and matter
Quantum optics
Symmetry
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Summary: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.
ISSN:0764-583X
1290-3841
DOI:10.1051/m2an:2004015