A set of differential equations with distributed delay is derived for modeling of multimode ring lasers with intracavity chromatic dispersion. Analytical stability analysis of continuous wave regimes is performed and it is demonstrated that sufficiently strong anomalous dispersion can destabilize these regimes.
We consider a broad area vertical-cavity surface-emitting laser(VCSEL) subject to injection and to time-delayed feedback. We present analytical and numerical analysis of the dependence of the drift instability threshold and on the feedback strength, feedback phase, and carrier relaxation time. we demonstrate that due to finite carrier relaxation rate the delay induced drift instability can be suppressed to a certain extent. We give analytical estimation of the soliton velocity near the drift instability point which is in a good agreement with numerical results obtained using the full model equations.
We investigate the dynamical properties of broad area lasers with a V-shaped external cavity formed by two
off-axis feedback mirrors that allow to select a single transverse mode with transversely modulated intensity
distribution. We derive and study a reduced model of a multi-stripe array. Bifurcation analysis of this system
reveals the existence of single mode and multimode instabilities leading to a periodic and irregular time
dependence of the output intensity. We observe within reduced model the multimode instability leading to a
periodic regime, where the fields traveling in the opposite directions oscillate in antiphase. This result is in
agreement with that obtained with the help of 2+1 dimensional traveling wave model.