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.
Description
Keywords
LIGHT PROPAGATION, NONLINEAR MEDIA