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UMR 5672

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Computational Nonlinear Optics

Stefan Skupin (Université de Bordeaux)
When Oct 28, 2016
from 10:45 to 12:00
Where room 116
Attendees Stefan Skupin
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After a short overview on my research in general, I will focus on optics in so-called nonlocal nonlinear media. It is nowadays well appreciated that nonlocality has a dramatic impact on the dynamics in nonlinear systems. Nonlocality is usually associated with transport processes or inter-molecular long-range interactions. After a brief introduction to nonlocal nonlinear systems, with special emphasize on optics, I will first talk about wave collapse in systems with attractive spatially nonlocal nonlinarities. I will present rigorous collapse criteria for systems with singular nonlocal nonlinear interaction, similar to those known for the famous local nonlinear Schroedinger equation. In the second part of my talk I will switch to self-organization of light in optical media with competing nonlinearities. Self-organization constitutes one of the most fascinating phenomena appearing in nonlinear systems. During the process, strong interactions among the system components lead to the formation of spatial structures and long-range ordering. We recently demonstrated that the nonlocality of competing focusing and defocusing nonlinearities gives rise to self-organization and stationary states with stable hexagonal intensity patterns. Signatures of this long-range ordering turn out to be observable in the propagation of light in optical waveguides and even in free space.