In this paper, the various physical mechanisms in low-frequency intensity fluctuations are identified, that occur when a diode laser is subject to moderate optical feedback while operating close to its solitary threshold. The maximum gain mode, which surprisingly often stable, serves as a seemingly unreachable goal for the system. In attempting to reach this mode, the system forms mode-locked pulses. In between pulses the mode-locking is frustrated and inevitably the system passes too close to one of the many saddle points, that will take the system back to the low power solitary laser state.
The Hopf bifurcation points for single mode solutions of the Lang and Kobayashi equations are determined using asymptotic methods. The approximation is based on a small parameter (epsilon) which is defined as the ratio of the photon and carrier lifetimes. The remaining parameters are scaled with respect to (epsilon) . The critical feedback rate for a Hopf bifurcation is studied in terms of the pump parameter and is either an 0((epsilon) ) or an 0((epsilon) 1/2) quantity. At a fixed value of the pump parameter, we obtain an expression of the Hopf bifurcation point in terms of the effective feedback strength and the feedback phase. In addition, we investigate the Hopf bifurcation point near and at the lasing threshold.
A theoretical analysis of the optically injected single-mode diode laser outside the locking regime is presented. After a short overview of our model and its description of the locking regime, we concentrate on the nonlinear interaction between diode and injection signal that occurs outside this locking regime. When the injection is sufficiently weak this process can be approximated by four-wave mixing (FWM). We will present an extensive analytical treatment of the FWM behavior and find good agreement with the results of a recent experiment.
A theoretical study is presented of multi-wave mixing dynamics in a single-mode semiconductor laser with monochromatic weak external injection. Three relevant regimes are overviewed, i.e., corresponding to locking, four-wave mixing, and multi-wave mixing. Moreover, much emphasis is put on four-wave mixing. For this regime, several analytical expressions are presented, some of which are new. A detailed theoretical explanation is given for the peculiar relaxation oscillation resonance behavior that was recently observed in experiments.
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