Nonlinear Symmetry Breaking Induced by Third-Order Dispersion in Optical Fiber Cavities

Léo, François; Mussot, Arnaud; Kockaert, Pascal; Emplit, Philippe; Haelterman, Marc; Taki, Majid

doi:10.1103/physrevlett.110.104103

Cited by 54 publications

(41 citation statements)

References 34 publications

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“…In particular, third-order dispersion (TOD) generates the emission of dispersive waves that can lead to the suppression of dynamical regimes such as oscillations and chaos [26,27]. As TOD also breaks reversibility, solitons move with a constant velocity [26][27][28][29][30]. While recent work has numerically shown that TOD induces similar dispersive waves in dark solitons in both normal and anomalous dispersion regions [31], a complete understanding of the influence of TOD on the dynamics and bifurcation structure of dark pulse Kerr frequency combs is still lacking.…”

Section: Introductionmentioning

confidence: 99%

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

2017

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Using the Lugiato-Lefever model, we analyze the effects of third-order chromatic dispersion on the existence and stability of dark-and bright-soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third-order dispersion only dark solitons exist over an extended parameter range, we find that third-order dispersion allows for stable dark and bright solitons to coexist. Reversibility is broken and the shape of the switching waves connecting the top and bottom homogeneous solutions is modified. Bright solitons come into existence thanks to the generation of oscillations in the switching-wave profiles. Temporal oscillatory instabilities of dark solitons are suppressed in the presence of sufficiently strong third-order dispersion, while bright solitons are never found to oscillate in time. As a result of third-order dispersion both bright and dark solitons are found to move with a velocity that depends on their width.

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Section: Introductionmentioning

confidence: 99%

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

2017

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“…This higher-order term strongly modifies the dynamics of nonlinear systems by making them convectively unstable [21]. In optical fibers, it leads to the nonlinear symmetry breaking of parametric processes [22][23][24]28], to the generation of Cherenkov radiations (CRs) by solitons [29], which are one of the key elements of supercontinuum generation [30,31], and, in extreme cases, to turbulent dynamics [32,33].…”

Section: Introductionmentioning

confidence: 99%

“…If the dispersion cannot be considered to be a constant over the spectrum, the TOD term must be taken into account [21][22][23][24][25][26][27][28]. This higher-order term strongly modifies the dynamics of nonlinear systems by making them convectively unstable [21].…”

Section: Introductionmentioning

confidence: 99%

Fermi-Pasta-Ulam Recurrence in Nonlinear Fiber Optics: The Role of Reversible and Irreversible Losses

et al. 2014

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The discovery of the Fermi-Pasta-Ulam (FPU) recurrence phenomenon in the 1950 s was a major step in science that later led to the discovery of solitons in nonlinear physics. More recently, it was shown that optical fibers can serve as a medium for observing the FPU phenomenon. In the present work, we have found experimentally and numerically that in the low-dispersion region of an optical fiber, the recurrence is strongly influenced by the third-order-dispersion (TOD) term. Namely, the presence of TOD leads to several disappearances and recoveries of the FPU recurrence when the central frequency of the pump wave is varied. The effect is highly nontrivial and can be explained in terms of reversible and irreversible losses caused by Cherenkov radiations interacting with a multiplicity of modes sharing the optical energy in the process of its partition.

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“…As discussed in previous works [52,53], the passive cavity does not operate as a resonant 'phase-sensitive interferometer' [54,55,[83][84][85][86][87][88], and the temporal modes of the cavity do not play any key role in the dynamics of the incoherent wave. The wave circulating in the cavity and the pump wave are thus mutually incoherent with each others, and the boundary conditions are not sensitive to the random relative phase among them:…”

Section: Modelmentioning

confidence: 98%

Weak Langmuir optical turbulence in a fiber cavity

Garnier

Mussot

et al. 2016

Phys. Rev. A

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We study theoretically and numerically the dynamics of a passive optical fiber ring cavity pumped by a highly incoherent wave -an incoherently injected fiber laser. The theoretical analysis reveals that the turbulent dynamics of the cavity is dominated by the Raman effect. The forced-dissipative nature of the fiber cavity is responsible for a large diversity of turbulent behaviors: Besides nonequilibrium statistical stationary states, we report the formation of a periodic pattern of spectral incoherent solitons, or the formation of different types of spectral singularities, e.g., dispersive shock waves and incoherent spectral collapse behaviors. We derive a mean-field kinetic equation that describes in detail the different turbulent regimes of the cavity and whose structure is formally analogous to the weak Langmuir turbulence kinetic equation in the presence of forcing and damping. A quantitative agreement is obtained between the simulations of the nonlinear Schrödinger equation with cavity boundary conditions and those of the mean-field kinetic equation and the corresponding singular integro-differential reduction, without using adjustable parameters. We discuss the possible realization of a fiber cavity experimental set-up in which the theoretical predictions can be observed and studied.

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Nonlinear Symmetry Breaking Induced by Third-Order Dispersion in Optical Fiber Cavities

Cited by 54 publications

References 34 publications

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

Coexistence of stable dark- and bright-soliton Kerr combs in normal-dispersion resonators

Fermi-Pasta-Ulam Recurrence in Nonlinear Fiber Optics: The Role of Reversible and Irreversible Losses

Weak Langmuir optical turbulence in a fiber cavity

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