Observation of four Fermi-Pasta-Ulam-Tsingou recurrences in an ultra-low-loss optical fiber

Vanderhaegen, Guillaume; Szriftgiser, Pascal; Kudlinski, Alexandre; Conforti, Matteo; Trillo, Stefano; Droques, Maxime; Mussot, Arnaud

doi:10.1364/oe.391560

Cited by 28 publications

(29 citation statements)

References 25 publications

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“…(36) [11]. This behavior contrasts the recurrence phenomenon observed in the NLSE [54][55][56], which is a conservative Hamiltonian system. In Fig.…”

Section: Frequency Combs and Temporal Patternsmentioning

confidence: 72%

Theory of filter-induced modulation instability in driven passive optical resonators

2021

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We present the theory of modulation instability induced by spectrally dependent losses (optical filters) in passive driven nonlinear fiber ring resonators. Starting from an Ikeda map description of the propagation equation and boundary conditions, we derive a mean-field model-a generalized Lugiato-Lefever equation-which reproduces with great accuracy the predictions of the map. The effects on instability gain and comb generation of the different control parameters such as dispersion, cavity detuning, filter spectral position, and bandwidth are discussed.

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“…(36) [11]. This behavior contrasts the recurrence phenomenon observed in the NLSE [54][55][56], which is a conservative Hamiltonian system. In Fig.…”

Section: Frequency Combs and Temporal Patternsmentioning

confidence: 72%

Theory of filter-induced modulation instability in driven passive optical resonators

2021

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“…Numerical simulations with the initial condition being the fundamental frequency or the fundamental frequency plus the second harmonic also demonstrate a FPUT type behavior [27]. Experimentally, four FPUT cycles were observed for wave pulses governed by the nonlinear Schrödinger equation in an ultra-low loss optical fiber [28].…”

Section: Numerical Simulations Of Energy Transfer In Coupled Triadsmentioning

confidence: 74%

Triads and Rogue Events for Internal Waves in Stratified Fluids with a Constant Buoyancy Frequency

Pan¹,

Yin²,

Chow³

2021

JMSE

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Internal waves in a stratified fluid with a constant buoyancy frequency were studied, with special attention given to rogue modes, extreme waves, dynamical evolution, and Fermi–Pasta–Ulam–Tsingou type recurrence phenomena. Rogue waves for triads in a general physical setting have recently been derived analytically, but the implications in a fluid mechanics context have not yet been fully assessed. Numerical simulations were conducted for cases of coupled triads where the common member is a daughter wave mode. In sharp contrast with previous studies, rogue modes instead of plane waves were used as the initial condition. Furthermore, spatial dependence was incorporated. Rogue or extreme waves in one set of triads provided a possible mechanism for significant energy transfer among modes of the internal wave spectrum, in addition to the other known theories, e.g., weak turbulence. Remarkably, Fermi–Pasta–Ulam–Tsingou recurrence types of growth and decay cycles arose, similarly to those observed for surface gravity wave groups governed by the cubic nonlinear Schrödinger equation. These mechanisms will enhance our understanding of transport processes in oceans.

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“…We provide detailed information on the HOTDR technique and on the active loss compensation compared to already published papers. Then we review various striking results that we recently published [33][34][35][36][37][38]. We first show a detailed characterization of the FPU recurrence, highlighting the symmetry breaking of the process [33,35], demonstrate a record of 4 recurrences in an ultra-low loss fiber [37] and reveal the observation of A-and B-type solutions of the NLSE [36].…”

Section: Introductionmentioning

confidence: 89%

Heterodyne Optical Time Domain Reflectometer Combined With Active Loss Compensation: A Practical Tool for Investigating Fermi Pasta Ulam Recurrence Process and Breathers Dynamics in Optical Fibers

et al. 2021

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We report recent results obtained with a novel optical fiber experimental setup based on a heterodyne optical time-domain reflectometer in the context of FPU recurrence process. Moreover, we actively compensate the dissipation of the system. We show that we can observe several FPU recurrences by monitoring the power and relative phase evolutions of the main discrete frequency components involved in the process.

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Observation of four Fermi-Pasta-Ulam-Tsingou recurrences in an ultra-low-loss optical fiber

Cited by 28 publications

References 25 publications

Theory of filter-induced modulation instability in driven passive optical resonators

Theory of filter-induced modulation instability in driven passive optical resonators

Triads and Rogue Events for Internal Waves in Stratified Fluids with a Constant Buoyancy Frequency

Heterodyne Optical Time Domain Reflectometer Combined With Active Loss Compensation: A Practical Tool for Investigating Fermi Pasta Ulam Recurrence Process and Breathers Dynamics in Optical Fibers

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