Combining FDTD and coupled-mode theory for self-pulsing modeling in coupled nonlinear microring resonators

Jebali, Nessim; Bodiou, Loïc; Charrier, Joël; Armaroli, Andrea; Dumeige, Yannick

doi:10.1364/josab.399879

Cited by 8 publications

(3 citation statements)

References 53 publications

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“…The temporal walk-off as well as the group velocity dispersion are thus neglected in the model. Under this simplification, the dynamics of the system is governed by the DDBH dimer model [32][33][34]. It describes the fields evolution with the round trips φ/2π in each cavity of length L and reads:…”

mentioning

confidence: 99%

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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mentioning

confidence: 99%

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

Yelo-Sarrión¹,

Parra‐Rivas²,

Englebert³

et al. 2021

Preprint

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“…The characteristic of photonic crystal resonators to strongly localize light in cavities with high quality factor Q and small mode volume [104,105] makes that nonlinear effects are relevant at micro Watts input power. The optical nonlinearity in the photonic crystal material provides bistability, or even multistability, with several stable states that have application in optical memory [43][44][45][46][47][48][49][106][107][108][109][110][111][112] . The optical history of the photonic crystal determines the current state, which can be used as an optical switch between an 'on' and 'off' output signal [43] .…”

Section: Applicationsmentioning

confidence: 99%

“…A topic of specific interest is optical multistability achieved with nonlinearity in photonic crystals, observed in nonlinear coupled ring resonators [107][108][109] and microresonators [110] . Tristability has been demonstrated in optical fibers [111] and pillar microcavities [112] .…”

Section: Applicationsmentioning

confidence: 99%

Optical Multistability in High-Q Nonlinear Photonic Crystal Nanoresonators

Perrier¹

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Photonic crystals are prime candidates for photonic integrated circuit applications, for instance in the field of optical telecommunications and optical computing. In this thesis we experimentally investigate the optical nonlinear behavior of single and coupled nanoresonators on a waveguide in a photonic crystal membrane. Photonic crystal resonators typically have small mode volume and high quality factor, which optimizes the optical nonlinearity crucial for active photonic devices. Our photonic crystal is designed for near-infrared light (~1550nm). Thermo-optical nonlinearity is the dominating nonlinearity in these InGaP photonic crystal waveguides. We measure the thermo-optical timescale in the system and find that the decay time of a mode is related to its mode profile. Additionally, we present a nonlinear mode mapping technique to measure the mode profile. We use an out-of-plane blue pump beam to spatially scan the surface of the photonic crystal and probe the mode. The pump light is absorbed and serves as a local heat source. Nonlinear effects, caused by free carrier absorption of infrared input light, significantly improve the resolution with respect to linear mode map techniques. This provides a non-invasive far-field imaging technique. Lastly, we look at two coupled nanocavities that give rise to optical multistability in the nonlinear regime. We investigate the phase space of the system by exciting the system with a puls of the out-of-plane pump beam. It turns out the pump pulse triggers a state change that remains stable after the pump is turned off. In this way we, find different energy branches of the multistable system, where the position of the pump pulse determines the thermo-optical state the system stabilizes in. Using this effect we demonstrate a programmable multistable all-optical switch, where we walk through the multistable phase space of the system, addressing several thermo-optical stable states in the system by lowering or raising the internal energy of the hybridized cavities.

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Temporal coupled-mode theory in nonlinear resonant photonics: From basic principles to contemporary systems with 2D materials, dispersion, loss, and gain

Christopoulos,

Tsilipakos,

Kriezis

2024

Journal of Applied Physics

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Temporal coupled-mode theory (CMT) is an acclaimed and widely used theoretical framework for modeling the continuous-wave response and temporal dynamics of any integrated or free-space photonic resonant structure. It was initially employed to understand how energy is coupled into and out of a cavity and how it is exchanged between different resonant modes. In the 30 years that followed its establishment, CMT has been expanded to describe a broad range of nonlinear interactions as well (self- and cross-phase modulation, saturable absorption, frequency generation, gain, etc.). In this Tutorial, we thoroughly present the basic principles and the evolution of CMT throughout the years, showcasing its immense capabilities for the analysis and design of linear and nonlinear resonant photonic systems. Importantly, we focus on the examples of modern, open nanophotonic resonators incorporating contemporary bulk or sheet (2D) materials that may be lossy and dispersive. For each linear/nonlinear effect under study, we follow a meticulous, step-by-step approach, starting from an accurate model of the physical phenomenon and proceeding to its introduction in the CMT framework all the way to the efficient solution of the resulting system of equations. Our work highlights the merits of CMT as an efficient, accurate, and versatile theoretical tool. We envision that it can serve both as an introductory reference for any reader and as a comprehensive handbook on how to incorporate a broad range of linear and nonlinear effects in the CMT framework.

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Combining FDTD and coupled-mode theory for self-pulsing modeling in coupled nonlinear microring resonators

Cited by 8 publications

References 53 publications

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

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

Optical Multistability in High-Q Nonlinear Photonic Crystal Nanoresonators

Temporal coupled-mode theory in nonlinear resonant photonics: From basic principles to contemporary systems with 2D materials, dispersion, loss, and gain

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