Simulation of self-pulsing in Kerr-nonlinear coupled ring resonators

Petrácˇek, Jirˇí; Ekşioğlu, Yasa; Sterkhova, Anna

doi:10.1016/j.optcom.2013.12.035

Cited by 15 publications

(11 citation statements)

References 29 publications

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“…Ikeda oscillations can be attributed to the beating and four wave mixing (FWM) the cavity side modes with the applied signal [4], and since the EC formalism models only one resonance mode, it cannot predict period-doubling oscillations of the Ikeda type. Although the work in [12] analyzed nonlinear dynamics of a doublemicroring resonator using simulations based on the PC model, the stability map showed only regions of self-pulsation, and no Ikeda oscillations were reported. Self-pulsation, on the other hand, can be predicted by both the EC and PC models.…”

Section: A Instability In An As 2 Se 3 Double-microring Resonatormentioning

confidence: 99%

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Analysis of optical instability in coupled microring resonators

Abdollahi

Van

2014

J. Opt. Soc. Am. B

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We present energy coupling (EC) and power coupling (PC) formalisms for analyzing optical instability in coupled microring resonators having instantaneous intensity dependent nonlinear refractive index. Analysis of a chalcogenide double-microring resonator is performed to investigate and compare instability phenomena predicted by both formalisms. It is shown that the EC formalism fails to predict Ikeda instability in the double-microring resonator and generally yields results that drastically deviate from those of the more rigorous PC formalism at high input powers and large phase detunings. We also show that the input threshold powers for reaching self-pulsation and Ikeda instabilities in a double-microring resonator can be minimized by proper selection of the coupling parameters. In particular, self-pulsation can be reached in a chalcogenide double-microring with input powers as low as tens of milliwatts, while the threshold power for Ikeda instability can be reduced by more than 20% compared to the value required in a single microring.

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Section: A Instability In An As 2 Se 3 Double-microring Resonatormentioning

confidence: 99%

“…More rigorous time-domain simulations of a microring chain [or coupled-resonator optical waveguide (CROW)] based on the PC formalism were reported in a recent paper [12], which also predicted regions of self-pulsation. Absent in these works, however, is an investigation of whether Ikeda instability can occur in coupled resonators.…”

Section: Introductionmentioning

confidence: 99%

Analysis of optical instability in coupled microring resonators

Abdollahi

Van

2014

J. Opt. Soc. Am. B

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“…Interestingly, under continuous excitation, it was theoretically predicted that sustained oscillations may take place in DDBH systems. This was shown for microcavity polaritons [17], but also for nonlinear optical cavities with two [18,19] or more [20][21][22] coupled cavities. It is however only very recently that evidence of such self-pulsing was reported with polaritons, through its indirect spectral signature [23].…”

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confidence: 76%

Self-Pulsing in driven-dissipative photonic Bose-Hubbard dimers

Yelo-Sarrión¹,

Parra‐Rivas²,

Englebert³

et al. 2021

Preprint

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We experimentally investigate the nonlinear dynamics of two coupled fiber ring resonators, coherently driven by a single laser beam. We comprehensively explore the optical switching arising when scanning the detuning of the undriven cavity, and show how the driven cavity detuning dramatically changes the resulting hysteresis cycle. By driving the photonic dimer out-of-equilibrium, we observe the occurrence of stable self-switching oscillations near avoided resonance crossings. All results agree well with the driven-dissipative Bose-Hubbard dimer model in the weakly coupled regime.

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“…Such rich temporal dynamics may also appear in optical systems. For example, self-pulsing has been found in second-harmonic generation [11], in lasers with continuous injected signals [12] or between coupled longitudinal modes [13] and, more recently, in coupled photonic cavities [14][15][16][17] or between counter-propagating beams in single Kerr cavities [18]. Furthermore, period-doubling and chaos have also been demonstrated (see e.g.…”

Section: Introductionmentioning

confidence: 98%

Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

Sarrión,

Leo,

Gorza

et al. 2022

Preprint

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We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear dynamics of photonic diatomic molecules in linearly coupled Kerr resonators coherently excited by a single laser beam. Such temporal dynamics include self-pulsing oscillations, period doubled oscillatory states, chaotic dynamics, and spikes. The different states and dynamical regimes have been thoroughly characterized using bifurcation analysis. This analysis has allowed us to identify the main instabilities, i.e. bifurcations, responsible for the appearance of the previously stated dynamics.

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Simulation of self-pulsing in Kerr-nonlinear coupled ring resonators

Cited by 15 publications

References 29 publications

Analysis of optical instability in coupled microring resonators

Analysis of optical instability in coupled microring resonators

Self-Pulsing in driven-dissipative photonic Bose-Hubbard dimers

Self-pulsing and chaos in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer: A bifurcation analysis

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