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

Géraud R. Goune Chengui, Kengne Jacques, Paul Woafo, and Yanne K. Chembo
Phys. Rev. E 102, 042217 – Published 23 October 2020

Abstract

We investigate 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. The resulting nonlinear transfer function is a piecewise linear profile, and its interplay with the delay leads to many complex behaviors such as relaxation oscillations and deterministic chaos. This system belongs to a recent class of optoelectronic oscillators where the nonlinearity does not originate from the sinusoidal transfer function of an imbalanced interferometer, and, in particular, it is a simple optoelectronic oscillator configuration that is capable of displaying a chaotic behavior. The results of the analytic study are confirmed by numerical simulations and experimental measurements.

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  • Received 22 July 2020
  • Revised 17 September 2020
  • Accepted 8 October 2020

DOI:https://doi.org/10.1103/PhysRevE.102.042217

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Géraud R. Goune Chengui1,*, Kengne Jacques1, Paul Woafo2, and Yanne K. Chembo3

  • 1Laboratories d'Automatique et Informatique Appliquée (UR-AIA), Department of Electrical Engineering, IUT-FV Bandjoun, P.O. Box 134, Bandjoun, Cameroon
  • 2Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Department of Physics, Faculty of Science, P.O. Box 812, Yaoundé, Cameroon
  • 3University of Maryland, A. James Clark School of Engineering, Department of Electrical and Computer Engineering, and Institute for Research in Electronics and Applied Physics (IREAP), 8279 Paint Branch Drive, College Park, Maryland 20742, USA

  • *geraud.goune@yahoo.fr

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Vol. 102, Iss. 4 — October 2020

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