Pattern Formation in Time-Delayed Photonic Systems

Time-delayed dynamical systems have proven to be a fertile framework for the study of physical phenomena. The latter materialize in situations where distant, pointwise, nonlinear nodes exchange information that propagates at a finite speed. This makes them a natural approach in photonic systems composed of several, well-separated elements.

Time-delayed systems have been used to model complex regimes in laser dynamics due to, e.g., parasitic optical feedback from a distant mirror, but they can also successfully model regular dynamics such as those generated by the passive and active mode-locking mechanisms. Time-delayed systems also showed that they are a powerful approach to explaining spatio-temporal pattern formation in a laser output, such as dissipative temporal solitons, domain walls, Turing bifurcations, and coarsening dynamics.

In this webinar hosted by the Nonlinear Optics Technical Group, Julien Javaloyes will discuss recent developments in frequency combs and a paradigmatic time-delayed model for tunable Kerr frequency combs in a vertical-cavity geometry. Finally, the links between time-delayed modeling and the more standard approaches, such as the Ikeda map, the nonlinear Schrödinger equation, and the Lugiato-Lefever model, will be discussed.

What You Will Learn:
• You will learn the basics of time-delayed dynamical systems in photonics
• You will learn about spatio-temporal patterns solitons and Kerr combs in time-delayed photonic systems, including both theoretical and experimental aspects.

Who Should Attend:
• Researchers and professionals who are interested in temporal complexity in laser dynamics.
• Physicists and engineers interested in using time-delayed systems in photonics.

About the Presenter: Julien Javaloyes from The University of Balearic Islands

Julien Javaloyes obtained his M.Sc. in Physics at the Ecole Normale de Lyon and the PhD in 2003 (cum laude) in Physics at the Institut Non Linéaire de Nice, France working on recoil induced instabilities and self-organization processes in cold atoms. He is now Professor in Optics at the University of Balearic Islands where he leads the group of Nonlinear Wave Dynamics. His research interests include in general laser dynamics, pattern formations and bifurcation analysis, in particular within the framework of time-delayed systems. He developed and still actively support a Free GPL software called FreeTWM allowing the simulation of almost any multi-section semiconductor lasers. He has been the theoretician leading the discovery of temporal Localized structures and dissipative solitons in time-delayed semiconductor lasers. He has published 100 works in top journals, organized several international conferences and was program chair of CLEO-EQEC Europe.