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LIGHT PROPAGATION IN NONLINEAR MEDIA

Date

2022-10-24

Authors

de la Cruz de Oña, Artorix

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Abstract

The study of the light propagation in some complex media and its out-of-equilibrium dynamics is reported. Our research is based on the light-matter interaction hydrodynamic model under the multiscale expansion framework. At the proper scale of our mathematical analysis, the optical Benney-Luke equation is obtained. Also, we have proposed and demonstrated analytically, a novel and simpler variational approach to describe nonlinear open systems. Our methodology has been extended to the polarization instability effect on the beat length of propagating optical fields in a nonlinear birefringent Kerr medium. We have described the generation and dynamics of shock waves, specifically in disordered colloids. Finally, a preliminary theory based on reaction-diffusion dynamical system theory has been developed as a new goal for this project.

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Keywords

LIGHT PROPAGATION, NONLINEAR MEDIA

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