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Optique électromagnétique non-linéaire polyharmonique : théorie et modélisation numérique

Abstract : Maxwell equations, which describe the behavior of mesoscopic electromagnetic fields, are not a closed system. We thus have to add constitutive relations that characterize a host medium. We give very general relations, and then simplify them, specifying at each step the physical restrictions that this entails, up to obtain a finite set of coupled nonlinear partial differential equations that we are able to solve numerically. This leads us to study the scattering by an electromagnetic field on a system, that has either the shape of a cylinder or a finite or infinite photonic crystal, and that generates a second and a third harmonic. These different spectral components of the electric field interact with themselves by the optical Kerr-effect and the depletion of the pump wave. We also generalize to the nonlinear regime some of the properties of materials well-known in the linear one, like the anisotropy or the electric energy loss.
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Contributor : Pierre Godard <>
Submitted on : Tuesday, December 8, 2009 - 4:13:05 PM
Last modification on : Tuesday, March 30, 2021 - 3:19:29 AM
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  • HAL Id : tel-00439833, version 1



Pierre Godard. Optique électromagnétique non-linéaire polyharmonique : théorie et modélisation numérique. Physique [physics]. Université de Provence - Aix-Marseille I, 2009. Français. ⟨tel-00439833⟩



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