A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals:: An application to KDP
被引:10
作者:
Besse, C
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机构:Univ Toulouse 3, UMR 5640, MIP, CNRS UPS INSA, F-31062 Toulouse 4, France
Besse, C
Bidégaray-Fesquet, B
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机构:Univ Toulouse 3, UMR 5640, MIP, CNRS UPS INSA, F-31062 Toulouse 4, France
Bidégaray-Fesquet, B
Bourgeade, A
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机构:Univ Toulouse 3, UMR 5640, MIP, CNRS UPS INSA, F-31062 Toulouse 4, France
Bourgeade, A
Degond, P
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机构:Univ Toulouse 3, UMR 5640, MIP, CNRS UPS INSA, F-31062 Toulouse 4, France
Degond, P
Saut, O
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机构:Univ Toulouse 3, UMR 5640, MIP, CNRS UPS INSA, F-31062 Toulouse 4, France
Saut, O
机构:
[1] Univ Toulouse 3, UMR 5640, MIP, CNRS UPS INSA, F-31062 Toulouse 4, France
[2] LMC, UMR 5523, CNRS UJF INPG, F-38041 Grenoble 9, France
[3] CEA, CESTA, F-33114 Le Barp, France
来源:
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
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2004年
/
38卷
/
02期
关键词:
nonlinear optics;
optical susceptibility;
harmonic generation;
quantum description of light and matter;
nonlinear optical crystals;
D O I:
10.1051/m2an:2004015
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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.