Square waves in a resonator with Kerr medium and optical time-delayed feedback
Elizaveta A. Yarunova 1,2 Anton A. Krents 1,2 Nonna E. Molevich 1,2 1 Samara National Research University Samara, Russia 2 Lebedev Physical Institute Samara, Russia
Abstract
In this paper we numerically study the dynamics of the optical field in a resonator containing a passive nonlinear active medium of the Kerr type driven by external injected signal. We propose to investigate the formation square waves based on the time delayed feedback control scheme. To this aim, we implement in the an optical time delayed feedback. We consider an optical system operating on a single longitudinal mode, and with no transverse degrees of freedom. Thus our model is a delayed ordinary differential equation. Without the term describing the delay feedback, the dynamics of the system is trivial. Without feedback, we observe relaxation oscillations that bring the optical field to a stationary value. The magnitude of this stationary value is the solution of the cubic implicit equation. Adding a large delay term to the equation qualitatively changes the dynamics of the optical field. We have shown that there are regions of model parameters at which the laser generates square waves. We have shown that the amplitude of the observed waves can be completely described by discrete implicit mapping. The generation of square waves in optical systems has attracted much attention in recent years, not only because of its fundamental interest, but also due to applications such as optical clocks in signal processing.
Speaker
Elizaveta Yarunova
Lebedev Physical Institute, Samara, Russia
Russia
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