Fast Thermo-Optical Excitability in a Two-Dimensional Photonic Crystal

Yacomotti, A. M.; Monnier, P.; Raineri, Fabrice; Bakir, Badhise Ben; Seassal, Christian; Raj, R.; Levenson, Juan Ariel

doi:10.1103/physrevlett.97.143904

Cited by 114 publications

(68 citation statements)

References 22 publications

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“…High Qfactor rings can even start to self-pulsate, as light will generate free carriers which will change the refractive index [6]. Similar to [4,7], we will demonstrate how this self-pulsation is linked with excitability. In literature the mechanism behind this self-pulsation (or excitability) in microrings, microdisks and similar passive cavities is often explained using Coupled Mode Theory (CMT).…”

Section: Introductionmentioning

confidence: 99%

Cascadable excitability in microrings

Vaerenbergh¹,

Fiers²,

Mechet³

et al. 2012

Opt. Express

125

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To emulate a spiking neuron, a photonic component needs to be excitable. In this paper, we theoretically simulate and experimentally demonstrate cascadable excitability near a self-pulsation regime in high-Q-factor silicon-on-insulator microrings. For the theoretical study we use Coupled Mode Theory. While neglecting the fast energy and phase dynamics of the cavity light, we can still preserve the most important microring dynamics, by only keeping the temperature difference with the surroundings and the amount of free carriers as dynamical variables of the system. Therefore we can analyse the microring dynamics in a 2D phase portrait. For some wavelengths, when changing the input power, the microring undergoes a subcritical Andronov-Hopf bifurcation at the selfpulsation onset. As a consequence the system shows class II excitability. Experimental single ring excitability and self-pulsation behaviour follows the theoretic predictions. Moreover, simulations and experiments show that this excitation mechanism is cascadable.

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Section: Introductionmentioning

confidence: 99%

Cascadable excitability in microrings

Vaerenbergh¹,

Fiers²,

Mechet³

et al. 2012

Opt. Express

125

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“…The latter noise has attracted less attention, even though it appears explicitly in the archetypical Hodgkin-Huxley model [15,16] and there is evidence that it plays an important role in neural regulatory networks [17]. Note that, in excitable lasers [5,7], noise is present in both the fast and slow variables.…”

Section: Introductionmentioning

confidence: 99%

“…Nonbiological systems, e.g., lasers and semiconductors [3][4][5][6][7], also display excitable behavior, and it has come to be appreciated that excitable systems can usefully be considered as forming a distinct class characterized by their own particular modes of behavior.…”

Section: Introductionmentioning

confidence: 99%

Noise-induced escape in an excitable system

et al. 2013

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We consider the stochastic dynamics of escape in an excitable system, the FitzHugh-Nagumo (FHN) neuronal model, for different classes of excitability. We discuss, first, the threshold structure of the FHN model as an example of a system without a saddle state. We then develop a nonlinear (nonlocal) stability approach based on the theory of large fluctuations, including a finite-noise correction, to describe noise-induced escape in the excitable regime. We show that the threshold structure is revealed via patterns of most probable (optimal) fluctuational paths. The approach allows us to estimate the escape rate and the exit location distribution. We compare the responses of a monostable resonator and monostable integrator to stochastic input signals and to a mixture of periodic and stochastic stimuli. Unlike the commonly used local analysis of the stable state, our nonlocal approach based on optimal paths yields results that are in good agreement with direct numerical simulations of the Langevin equation.

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“…Theoretically, they outperform the computational power of non-spiking artificial neural network types [1]. Given the natural appearance of excitability in many different non-linear optical components, both lasing [2,3,4,5,6,7] and non-lasing [8,9,10], there is an intrinsic advantage of implementing such networks in photonic hardware as this would allow to operate at time-scales that are orders of magnitude faster than typical biological and electronic implementations [11]. In this article, microdisk lasers are being proposed as a basic building block for an integrated photonic SNN platform.…”

Section: Introductionmentioning

confidence: 99%

Excitation transfer between optically injected microdisk lasers

Vaerenbergh¹,

Alexander²,

Dambre³

et al. 2013

Opt. Express

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Abstract:Recently, we have theoretically demonstrated that optically injected microdisk lasers can be tuned in a class I excitable regime, where they are sensitive to both inhibitory and excitatory external input pulses. In this paper, we propose, using simulations, a topology that allows the disks to react on excitations from other disks. Phase tuning of the intermediate connections allows to control the disk response. Additionally, we investigate the sensitivity of the disk circuit to deviations in driving current and locking signal wavelength detuning. Using state-of-the-art fabrication techniques for microdisk laser, the standard deviation of the lasing wavelength is still about one order of magnitude too large. Therefore, compensation techniques, such as wavelength tuning by heating, are necessary.

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Fast Thermo-Optical Excitability in a Two-Dimensional Photonic Crystal

Cited by 114 publications

References 22 publications

Cascadable excitability in microrings

Cascadable excitability in microrings

Noise-induced escape in an excitable system

Excitation transfer between optically injected microdisk lasers

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