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 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.

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ESAIM, Mathematical Modelling and Numerical Analysis, 38(2), 321–344 (2004)