Publisher’s Note: Dissipative Phase Solitons in Semiconductor Lasers [Phys. Rev. Lett.115, 043902 (2015)]

Phase solitons and domain dynamics in an optically injected semiconductor laser

“…6. This feature, which was not observed in numerical simulations of the forced Ginzburg-Landau equation [15], is on the contrary clearly visible when simulating the full model or the rate-equation model as shown in Fig. 12 and then we conclude that it is not related to the propagative nature of the system but to the noninstantaneous semiconductor medium.…”

“…Most of these observations can be understood from the general literature in forced oscillatory media, but at least two very unexpected features could be described only with the use of a more specific modeling: phase solitons are observed for only one sign of chiral charge and left and right fronts differ strongly. The experimental results are paired by a detailed derivation of the model sketched in [15] where a linear stability of the homogeneous phase locked solutions was performed. This model was further reduced to a set of rate-equations including propagation which are still able to capture all the specific features of the experiment, contrary to the oversimplified approximation of an instantaneous medium response.…”

“…In order to explain these new experimental findings we derive a set of effective semiconductor Maxwell-Bloch equations and analyze the stability of injection locked solutions with an exact and an approximated approach. The model is further * Electronic address: stephane.barland@inln.cnrs.fr reduced to a set of rate-equations which reproduce well the basic features of the relevant dynamical regimes and of the phase solitons, at difference from the Ginzburg-Landau derived in [15] which assumes instantaneous gain.…”

Dissipative solitons for bistable delayed-feedback systems

“…Dissipative solitons are stable localized structures, which are realized in nonlinear dissipative spatially a) Electronic mail: semenov.v.v.ssu@gmail.com b) Electronic mail: y.maistrenko@biomed.kiev.ua extended systems [1][2][3][4][5][6][7] .…”

“…Examples of dissipative soliton patterns for delayedfeedback oscillators, in both theory and experiments, were reported recently in optical systems 4,[33][34][35] . Mathematical aspects of the dissipative soliton appearance were derived for a reduced time-delayed model of modelocked laser 12,36,37 , the complex Ginzburg-Landau equation including feedback terms 12,13,38 , and the FitzHugh-Nagumo model with time-delay 33 .…”