Nonlinear dynamical Effects in Photonics: Modeling, Simulation and Analysis (Dr. Uwe Bandelow, head of research group "Laserdynamics” at Weierstrass-Institute for Applied Analysis and Stochastics (WIAS) Berlin, Germany)

Nonlinear dynamical Effects in Photonics: Modeling, Simulation and Analysis

The talk is dedicated to the modeling and to the analysis of nonlinear dynamical effects in semiconductor lasers, as well as in nonlinear optical fibers.

Multi-section semiconductor lasers exhibit a rich dynamical behavior, even under stationary pump conditions. Different levels of modeling will be presented; important approximation techniques will be explained. Suitable model reductions on this base allow at least qualitative understanding of measured effects [1]. Among such effects are dispersive self-Q-switching and mode beating [1], mode locking [2], as well as enhanced modulation response [3]. The theoretical investigations of such effects will be closely related to experiments.

Important concepts to the description of nonlinear pulse propagation in dispersive optical media will be discussed. Among those are envelope models, short-pulse equations, as well as our generalized approach [4].

Effects like the appearance of optical Rogue Waves [5], Cusp Formation [6,7], and solitons that mimic event horizons for smaller optical waves [8] will be presented.

A short survey about WIAS and the research group "Laserdynamics" will be given as well."