On the Universality of Microwave Envelope Equations for Narrowband Optoelectronic Oscillators

Ha, Meenwook; Chembo, Yanne K.

doi:10.1109/jlt.2022.3190695

Cited by 8 publications

(9 citation statements)

References 28 publications

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“…Under the threshold gain, the trivial solution is stable meaning no oscillation, but it soon experiences a Hopf bifurcation at the threshold gain and the stability of the two solutions are switched. 4,5,9 Once the gain is further increased beyond the critical gain, the system undergoes a secondary Hopf bifurcation, also known as a Neimark-Sacker bifurcation and every solution becomes unstable. 4,12,13 We proceed the work by assuming that the gain is in the region where the oscillatory solution is stable, between the two critical points.…”

Section: Output Pathmentioning

confidence: 99%

“…In a previous work, 5 it was shown that various narrowband OEOs can be expressed under an universal form regardless of complexity following:…”

Section: The Universal Envelope Equationmentioning

confidence: 99%

“…where A 0 is the magnitude of the oscillatory solution, and the constants a and b are amplitudes of A and A T after the linearization. 5 The numerical simulation is described as blue line in Fig. 2.…”

Section: The Stochastic Analysis Of the Oscillation Frequencymentioning

confidence: 99%

“…[1][2][3][4] Previous work showed that a microwave envelope equation can universally describe the dynamics of various narrowband OEOs. 5 In addition, through a Langevin approach, the deterministic envelope equation can be converted into a stochastic form that still universally describes the phase dynamics of the oscillation-loop. [6][7][8] The phase noise spectrum can be derived from the stochastic model, and this work focuses on its analysis.…”

Section: Introductionmentioning

confidence: 99%

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Microwave envelope equations for narrowband optoelectronic oscillators

Chembo

2023

Terahertz, RF, Millimeter, and Submillimeter-Wave Technology and Applications XVI

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We propose a theoretical phase noise analysis applicable for most of narrowband optoelectronic oscillators. In order to mathematically describe the phase noise spectrum, we directly convert a deterministic universal microwave envelope equation into a stochastic form by using a Langevin approach. The power density spectrum can be successfully obtained from the stochastic model, and it suggests ways to optimize the phase noise performance.

show abstract

Section: Output Pathmentioning

confidence: 99%

“…In a previous work, 5 it was shown that various narrowband OEOs can be expressed under an universal form regardless of complexity following:…”

Section: The Universal Envelope Equationmentioning

confidence: 99%

Section: The Stochastic Analysis Of the Oscillation Frequencymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Microwave envelope equations for narrowband optoelectronic oscillators

Chembo

2023

Terahertz, RF, Millimeter, and Submillimeter-Wave Technology and Applications XVI

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“…This introduces a first order Bessel function dependence of the saturated gain, the non-monotonicity of which is responsible for an MZM overdrive envelope instability 5,9 . Complex dynamical instabilities are of theoretical interest and have been thoroughly investigated in the context of OEOs by Chembo et al [9][10][11][12] . However, in low-noise oscillator applications, it is preferable that the MZM is driven between adjacent minimum and maximum transmission points and no further to avoid this instability.…”

mentioning

confidence: 99%

Simulation of optoelectronic oscillator injection locking, pulling & spiking phenomena

Banerjee,

Hall

2024

Sci Rep

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Complex envelope and reduced phase simulation models describing the dynamical behaviour of an optoelectronic oscillator (OEO) under injection by an external source are described. The models build on the foundations of a previously reported delay integral/differential equation (DDE) theory of injection locking of time delay oscillators (TDO) such as the OEO. The DDE formulation is particularly amenable to high precision simulation using the Simulink™ block diagram environment. The correspondence between the blocks and the oscillator components offers intuition and considerable freedom to explore different circuit architectures and design variations with minimal coding effort. The simulations facilitate the study of the profound effect the multimode nature of a TDO has on its dynamical behavior. The reduced phase models that make use of the Leeson approximation are generally successful in reproducing the results of complex envelope models for established oscillations except for spiking phenomena for which the Leeson approximation fails. Simulation results demonstrating phenomena not captured by classical injection theory are presented, including multimode oscillation, the appearance of sidemodes in the RF and phase noise spectrum, and persistent spike trains redolent of recent experimental observations of $$2\pi $$ 2 π phase pulse trains in a broadband OEO under injection.

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Quantifying Additive and Multiplicative Noise in Optoelectronic Oscillators: An Experimental and Theoretical Analysis

Ha,

Chembo

2024

J. Lightwave Technol.

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On the Universality of Microwave Envelope Equations for Narrowband Optoelectronic Oscillators

Cited by 8 publications

References 28 publications

Microwave envelope equations for narrowband optoelectronic oscillators

Microwave envelope equations for narrowband optoelectronic oscillators

Simulation of optoelectronic oscillator injection locking, pulling & spiking phenomena

Quantifying Additive and Multiplicative Noise in Optoelectronic Oscillators: An Experimental and Theoretical Analysis

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