# Theoretical and experimental study of slow-scale Hopf limit-cycles in laser-based wideband optoelectronic oscillators

@article{Chengui2014TheoreticalAE, title={Theoretical and experimental study of slow-scale Hopf limit-cycles in laser-based wideband optoelectronic oscillators}, author={Geraud. R. Goune Chengui and Alain Francis Talla and Jimmi H. Talla Mb{\'e} and Aur{\'e}lien Coillet and Khaldoun Saleh and Laurent Larger and Paul Woafo and Yanne K. Chembo}, journal={Journal of The Optical Society of America B-optical Physics}, year={2014}, volume={31}, pages={2310-2316} }

Optoelectronic oscillators are the subject of extensive research because of the wide variety of associated applications, which include chaos cryptography, ultrastable microwave generation, and neuromorphic computing. The wideband optoelectronic oscillator presents a particular feature allowing for two dynamical time scales to be superimposed, namely, a slow one and a fast one. In this paper, we fully characterize the onset of the slow-scale oscillation in the wideband optoelectronic oscillator… Expand

#### 13 Citations

Dynamics of Optoelectronic Oscillators With Electronic and Laser Nonlinearities

- Physics
- IEEE Journal of Quantum Electronics
- 2018

We present a theoretical and experimental study of a low-frequency optoelectronic oscillator featuring both laser-diode and Van der Pol-like nonlinearities. In this architecture, the device… Expand

Routes to chaos and characterization of limit-cycle oscillations in wideband time-delayed optoelectronic oscillators with nonlinear filters

- Physics
- 2020

In this paper, we show that the cubic nonlinear optoelectronic oscillator (CN-OEO) [IEEE J. Quantum Electron.55, 5000106-1 (2019)IEJQA70018-919710.1109/JQE.2019.2920694] depicts the phenomena of… Expand

The Simplest Laser-Based Optoelectronic Oscillator: An Experimental and Theoretical Study

- Mathematics
- Journal of Lightwave Technology
- 2016

We present a theoretical and experimental study of the most simple autonomous optoelectronic oscillator (OEO) with a delayed feedback loop. Contrarily to the overwhelming majority of OEOs, our OEO… Expand

Nonlinear dynamics in an optoelectronic feedback delay oscillator with piecewise linear transfer functions from the laser diode and photodiode.

- Medicine, Physics
- Physical review. E
- 2020

This work investigates the nonlinear dynamics of a recent architecture of an optoelectronic oscillator, where the emitting laser and the receiving diode are connected in a head-to-tail configuration via an optical fiber delay line, and its interplay with the delay leads to many complex behaviors such as relaxation oscillations and deterministic chaos. Expand

Dynamics of Wideband Time-Delayed Optoelectronic Oscillators With Nonlinear Filters

- Physics
- IEEE Journal of Quantum Electronics
- 2019

We present a theoretical and experimental study of an optoelectronic oscillator featuring a cubic-nonlinear filter in the feedback loop. In this architecture, the nonlinearity introduces an… Expand

Optoelectronic oscillators with time-delayed feedback

- Physics
- Reviews of Modern Physics
- 2019

Time-delayed optoelectronic oscillators are at the center of a large body of scientific literature. The complex behavior of these nonlinear oscillators has been thoroughly explored both theoretically… Expand

A normal form method for the determination of oscillations characteristics near the primary Hopf bifurcation in bandpass optoelectronic oscillators: Theory and experiment.

- Medicine, Physics
- Chaos
- 2019

We propose a framework for the analysis of the integro-differential delay Ikeda equations ruling the dynamics of bandpass optoelectronic oscillators (OEOs). Our framework is based on the normal form… Expand

Breather and Pulse-Package Dynamics in Multinonlinear Electrooptical Systems With Delayed Feedback

- Physics
- IEEE Photonics Journal
- 2016

We investigate the temporal dynamics of a multinonlinear electrooptical system with delayed feedback. We show that when a self-sustained electronic oscillator is introduced in the electric path of… Expand

An Innovative Electro-Optical Chaotic System Using Electrical Mutual Injection With Nonlinear Transmission Function

- Physics
- IEEE Photonics Journal
- 2018

In the purpose of improving the complexity and the security of chaotic communication system, a novel electro-optical intensity chaotic system using electrical mutual injection with nonlinear… Expand

Novel architectures of optoelectronic oscillators

- Physics, Engineering
- OPTO
- 2018

We present a theoretical and experimental study of novel architectures of optoelectronic oscillators that have a nonlinear response in the electric branch. We perform a nonlinear analysis and obtain… Expand

#### References

SHOWING 1-10 OF 29 REFERENCES

Nonlinear Dynamics and Spectral Stability of Optoelectronic Microwave Oscillators

- Physics
- IEEE Journal of Quantum Electronics
- 2008

We use a nonlinear dynamics approach to study the deterministic behavior of ultrapure microwave generators referred to as optoelectronic oscillators. In conventional studies, the standard nonlinear… Expand

Time-Domain Dynamics and Stability Analysis of Optoelectronic Oscillators Based on Whispering-Gallery Mode Resonators

- Physics
- IEEE Journal of Selected Topics in Quantum Electronics
- 2013

Optoelectronic oscillators (OEOs) are microwave photonics systems intended to generate ultrastable radio-frequency signals with unprecedented phase noise performance for aerospace and communication… Expand

Complexity in electro-optic delay dynamics: modelling, design and applications

- Computer Science, Medicine
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2013

This article focuses on another experimental realization involving electro-optic feedback loops, with delay, and a novel brain inspired computational principle has been recently implemented physically in photonics for the first time, again on the basis of an EO delay dynamical system. Expand

Slow–fast dynamics of a time-delayed electro-optic oscillator

- Mathematics, Medicine
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2013

It is shown that the square waves emerge from the first Hopf bifurcation of the basic steady state and that they may coexist with stable low-frequency periodic oscillations for the same value of the control parameter. Expand

Broadband chaos generated by an optoelectronic oscillator.

- Physics, Medicine
- Physical review letters
- 2010

An optoelectronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum is studied and approximate mappings are derived that do an excellent job of capturing the observed instability. Expand

Chaotic breathers in delayed electro-optical systems.

- Physics, Medicine
- Physical review letters
- 2005

In integro-differential delayed dynamical systems, a hybrid state of simultaneous fast-scale chaos and slow-scale periodicity can emerge subsequently to a sequence of Hopf bifurcations, resulting in chaotic oscillations "breathing" periodically at a significantly lower frequency. Expand

Dynamic instabilities of microwaves generated with optoelectronic oscillators.

- Physics, Medicine
- Optics letters
- 2007

It is shown that, due to the interaction between nonlinearity and time delay, the envelope amplitude of ultrapure microwaves generated by optoelectronic oscillators can turn unstable when the gain is increased beyond a given critical value. Expand

On the Phase Noise Performance of Nonlinear Double-Loop Optoelectronic Microwave Oscillators

- Physics
- IEEE Journal of Quantum Electronics
- 2012

We consider an optoelectronic oscillator for ultra-pure microwave generation with two nonlinearly-coupled delay loops in which the output of one of the loops modulates the other. We introduce a… Expand

Effects of gain and bandwidth on the multimode behavior of optoelectronic microwave oscillators.

- Physics, Medicine
- Optics express
- 2008

It is shown that when subjected to high gain, delay-line optoelectronic oscillators can display a strongly multimode behavior depending on the feedback bandwidth, and a theory is proposed to explain this undesirable feature. Expand

Optoelectronic microwave oscillator

- Physics
- 1996

We describe a novel oscillator that converts continuous light energy into stable and spectrally pure microwave signals. This optoelectronic microwave oscillator consists of a pump laser and a… Expand