Dynamics of two F2F coupled lasers: Instantaneous coupling limit

We consider two single-mode semiconductor lasers, which are coupled face to face via the injection of the optical field. We describe the symmetries of the coupled rate-equations model, the associated stationary solutions (synchronous and antisynchronous), and the bifurcations between them for the case when the propagation delay of the injected field is small. For the coupled lasers with a detuning, we discuss the emergence of selfpulsations with specific properties (anti-phase, in-phase). We also identify parameter regions, where chaotic pulsations occur.