2012
DOI: 10.1103/physreve.85.026206
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Crenelated fast oscillatory outputs of a two-delay electro-optic oscillator

Abstract: An electro-optic oscillator subject to two distinct delayed feedbacks has been designed to develop pronounced broadband chaotic output. Its route to chaos starts with regular pulsating gigahertz oscillations that we investigate both experimentally and theoretically. Of particular physical interest are the transitions to various crenelated fast time-periodic oscillations, prior to the onset of chaotic regimes. The two-delay problem is described mathematically by two coupled delay-differential equations, which w… Show more

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Cited by 27 publications
(6 citation statements)
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References 27 publications
(29 reference statements)
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“…To support this asumption, one might notice that such numerically obtained waveforms were found to exhibit very good qualitative agreement with the one observed in the experiment [33]. The proposed model has been also successfully used to derive analytically [34] most of the bifurcation features indeed observed in the experiment, thus indicating that the large amplitude solutions can be confidently calculated numerically from the noise-free model.…”
Section: A Setup Delivering a Broadband Optoelectronic Signalsupporting
confidence: 69%
“…To support this asumption, one might notice that such numerically obtained waveforms were found to exhibit very good qualitative agreement with the one observed in the experiment [33]. The proposed model has been also successfully used to derive analytically [34] most of the bifurcation features indeed observed in the experiment, thus indicating that the large amplitude solutions can be confidently calculated numerically from the noise-free model.…”
Section: A Setup Delivering a Broadband Optoelectronic Signalsupporting
confidence: 69%
“…The latest version was especially designed in the framework of 10 Gb=s optical chaos communication, and it succeeded in establishing, through the realistic conditions of a field experiment, the state of the art in speed and transmission quality thanks to highly controllable differential phase shift keying (DPSK) optical communication techniques [18]. Beyond the operational chaos communication demonstration, this so-called "phase chaos setup" is characterized by temporally nonlocal delayed feedback, which provided both additional virtual space-time coupling features and novel bifurcation phenomena [19,20]. The phase chaos setup with its bandwidth capability and high controllability thus appeared to be of great potential interest in the framework of RC photonic processing as well.…”
Section: Methodsmentioning
confidence: 99%
“…According to Refs. 30 and 31, the delay time of the feedback loop must satisfy the following conditions: (1) θ103Ti106τ. The oscillator loop is characterized by a high frequency cutoff with a response time τ10 ps and by a low frequency cutoff with a response time θ1 μs.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%