Optoelectronic oscillators with time-delayed feedback

A laser diode subjected to optoelectronic feedback in which some light is converted to photocurrent that is fed back into the laser injection terminals can display periodic oscillations in its optical intensity. We demonstrate experimental and numerical evidence that, as the feedback level is varied, a stepwise change in the oscillation frequency manifests itself in the output optical intensity. These transitions in the dynamics can either correspond to an abrupt jump between two limit cycles, associated with a subcritical torus bifurcation of a limit cycle, or to a progressive switching mediated by an intermediate quasiperiodic state. Finally, when ramping the feedback level down, hysteresis is observed in the sequence of switching events between the limit cycles. Such devices are of interest for photonic microwave sources for wavelength-division multiplexed radio-over-fiber systems.

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“…Optoelectronic oscillators with time delayed feedback and their applications are reviewed in Ref. [12].…”

Section: Introductionmentioning

confidence: 99%

Staircase Dynamics of a Photonic Microwave Oscillator Based on a Laser Diode with Delayed Optoelectronic Feedback

et al. 2020

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“…However, the non-periodic and irregular characteristics of a signal generated in the broadband random OEO is similar to chaos. Different from the traditional single-frequency OEO, another type of OEO, i. e., chaotic OEO has been used as a delayed feedback system to generate nonlinear dynamic behaviors such as chaos through the nonlinear effect in the cavity [26][27][28] . In chaotic OEO, an electro-optic modulator (EOM) is used as the core nonlinear device.…”

Section: Methodsmentioning

confidence: 99%

Broadband random optoelectronic oscillator

Hao

Capmany

et al. 2020

Nat Commun

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Random scattering of light in transmission media has attracted a great deal of attention in the field of photonics over the past few decades. An optoelectronic oscillator (OEO) is a microwave photonic system offering unbeatable features for the generation of microwave oscillations with ultra-low phase noise. Here, we combine the unique features of random scattering and OEO technologies by proposing an OEO structure based on random distributed feedback. Thanks to the random distribution of Rayleigh scattering caused by inhomogeneities within the glass structure of the fiber, we demonstrate the generation of ultra-wideband (up to 40 GHz from DC) random microwave signals in an open cavity OEO. The generated signals enjoy random characteristics, and their frequencies are not limited by a fixed cavity length figure. The proposed device has potential in many fields such as random bit generation, radar systems, electronic interference and countermeasures, and telecommunications.

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“…There exists a number of physical oscillating systems and oscillators in electrical, electronic engineering and mechanical nonlinear systems. Examples of such nonlinear oscillating systems include optoelectronic oscillators [1][2][3][4][5], pendulums [6][7][8], spring-masses [9] [10], etc. For such oscillating systems with high nonlinearity and large parameters, there exist very few research works that present analytical or approximate solutions that are sufficiently accurate.…”

Section: Introductionmentioning

confidence: 99%

“…For such oscillating systems with high nonlinearity and large parameters, there exist very few research works that present analytical or approximate solutions that are sufficiently accurate. Particular challenges are surfaced when the oscillating systems involve a strongly mixed-parity restoring force [11][12][13], and the recently much solicited, tunable optoelectronic meta-oscillators [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

A Generalization of Lindstedt–Poincaré Perturbation Method to Strongly Mixed-Parity Nonlinear Oscillators

Sun

Lim

2020

IEEE Access

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In this paper, generalization for the Lindstedt-Poincaré perturbation method for nonlinear oscillators to a class of strongly mixed-parity oscillating system is established. In this extended and enhanced approach, two new odd nonlinear oscillators are introduced in terms of the mixed-parity oscillator. By combining the analytical approximate solutions corresponding to the two new systems, the accurate approximate solutions of the original mixed-parity oscillator are obtained. Comparing with the existing methods such as the perturbation method, the new solution methodology for the singular nonlinear system introduced is not only simple, but the combinatory solution is straight forward and it yields very accurate and physically insightful solutions. Using two typical examples, we demonstrated that this new proposed approach is capable of establishing highly accurate approximate analytical frequency and periodic solutions for small as well as large amplitude of oscillation. The new analytical methodology established will potentially shed new insights to the physical interpretations of strongly nonlinear oscillators including optoelectronic oscillators, pendulums and spring-masses.

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Optoelectronic oscillators with time-delayed feedback

Cited by 155 publications

References 477 publications

Staircase Dynamics of a Photonic Microwave Oscillator Based on a Laser Diode with Delayed Optoelectronic Feedback

Staircase Dynamics of a Photonic Microwave Oscillator Based on a Laser Diode with Delayed Optoelectronic Feedback

Broadband random optoelectronic oscillator

A Generalization of Lindstedt–Poincaré Perturbation Method to Strongly Mixed-Parity Nonlinear Oscillators

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