The Role of Phases in the Transient Dynamics of Nonlinear Interferometers
Under appropriate conditions, the light intensity transmitted by an interferometer filled with a non-linear medium and irradiated by a resonant or near-resonant driving field exhibits one or many hysteresis cycles, and optical bi- or multi-stability.
In this paper, we analyze the response of such systems to sudden changes in the driving field. The existence of anomalous thresholds shows that it is not sufficient in general to consider the standard intensity-out vs. intensity-in curves. Rather, a detailed analysis of the phase-space of the system must be carried out. We discuss the cases of absorptive and dispersive bistability. We show that in all cases, the phase of the driving field plays an essential role.
This high sensitivity to phases leads in particular to the question of the effect of phase-noise in the driving field. We present preliminary results on this problem.
KeywordsLower Branch Transient Dynamic Phase Fluctuation Driving Field Hysteresis Cycle
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