Nonlinear Dynamics in Semiconductor Lasers - Abstract
Dynamical systems with complex delayed interactions arise commonly when propagation times are significant, yielding complicated oscillatory instabilities. In systems with multiple, hierarchically long time delays, the suitable space-time representation can uncover features otherwise hidden in their temporal dynamics. It is shown that the behavior in the case of two delays under some conditions can ?encode? two-dimensional spiral defects and defects turbulence. A multiple scale analysis sets the equivalence to a complex Ginzburg-Landau equation. We also demonstrate this phenomenon for a semiconductor laser with two delayed optical feedbacks.