Abstract
We analyze the response of two delay-coupled optoelectronic oscillators. Each oscillator operates under its own delayed feedback. We show that the system can display square-wave periodic solutions that can be synchronized in phase or out of phase depending on the ratio between self- and cross-delay times. Furthermore, we show that multiple periodic synchronized solutions can coexist for the same values of the fixed parameters. As a consequence, it is possible to generate square-wave oscillations with different periods by just changing the initial conditions.
Highlights
Time delays in physical, biological, or chemical systems are known for their oscillatory instabilities [1]
Stable square waves oscillating in antiphase have been observed in the intensities emitted in each of the polarization directions in edge-emitting diode lasers (EELs) subject to crossed-polarization reinjection (XPR)
Asymmetric square waves with a period close to but longer than twice the coupling delay time have been reported in mutually coupled EELs, in a scheme where the TE mode of each laser is injected into the TM mode of the other laser [10,11]
Summary
Biological, or chemical systems are known for their oscillatory instabilities [1]. Our choice of two mutually coupled OEOs is motivated by the large variety of dynamical regimes [16,23] that are generated by single optoelectronic systems. They have been used as chaos generators for secure chaos-based communications [24,25,26]. As compared to optical feedback systems and optical injection systems, in which the dynamics depends on the frequency, phase, and amplitude of the field and for which a frequency detuning of a few hundred MHz between the two systems can lead to a large degradation of the synchronization, optoelectronic systems are more flexible due to their insensitivity to optical phase variations Another advantage of OEOs is that they can be electrically driven [33].
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