Extreme statistics in Raman fiber amplifiers: From analytical description to experiments

Hammani, Kamal; Picozzi, Antonio; Finot, Christophe

doi:10.1016/j.optcom.2011.01.057

Cited by 41 publications

(22 citation statements)

References 46 publications

(71 reference statements)

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“…The various interpretations often depend on the type of experimental system considered, or on the type of theoretical context from which they emerge. Based on recent developments, we can essentially mention three broad classes of rogue waves: envelope solitons, observed in supercontinuum experiments [19], noise spikes due to nonlinear amplifier response in systems such as Raman fiber amplifiers [20], and modulation instability solitons, such as the Peregrine soliton recently observed in optics [21], in a wave tank [22] and in a plasma experiment [23]. In optics, all these types of abovementioned solutions manifest themselves as intensity spikes in a temporal series of the light intensity.…”

Section: Introductionmentioning

confidence: 99%

Rogue Waves in Spatially Extended Optical Systems

et al. 2012

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Communicated by Richard HaleyGiant anomalous events may occur in systems characterized by many waves, with extremely high amplitude waves appearing with a probability much higher than expected for a random dynamics. Such rare, and giant, events are known to occur on the ocean surface and have been named, in that context, "rogue waves". We present here some recent experimental results on the statistical properties of giant optical waves, or "optical rogue waves", observed in spatially extended optical systems. We will present the main statistical features of such extreme events, then, based on both a linear and a nonlinear experiment, we will outline a way enabling us to identify two key ingredients at the origin of optical rogue waves, namely, granularity, that is, a minimal size of the individual light spots, and inhomogeneity, that is, clustering of the light spots into separate domains with different average intensities. In the linear experiment we measure also the statistics of the waiting times between successive rogue waves and we show that it follows a log-Poisson distribution, which is characteristics of event separation observed in cooperative, complex systems and in such different fields as geophysics and biology.

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Section: Introductionmentioning

confidence: 99%

Rogue Waves in Spatially Extended Optical Systems

et al. 2012

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“…In the temporal domain (see Figure 1 a, blue line), this corresponds to large and ultrashort fluctuations of the intensity profile U ( t ) = u 2 , with a minimum fwhm temporal width of T = 0.44 / (Ω/2π) = 22 ps. [ 19 ] As the spectrum is δ‐correlated, the wave exhibits intensity fluctuations that are statistically stationary in time. An indirect but convenient mean to have an idea of the temporal fluctuations is to use intensity correlations defined for two temporal intensity profiles F ( t ) and G ( t ) as

Cor {normalr}_{F, G} (τ) = \int F false(t false) G false(t + τ false) d t

…”

Section: Principle and Modelmentioning

confidence: 99%

Linear and Nonlinear Fiber Propagation of Partially Coherent Fields Exhibiting Temporal Correlations

2020

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Using an ultrafast photonic first-order differentiator applied on a partially coherent field, the generation of two correlated temporal waveforms is reported and their correlation properties upon linear and nonlinear propagation along the two orthogonal polarization axes of a dispersive optical fiber are studied. Temporal correlations are maintained in linear propagation whereas Kerr nonlinearity generates anticorrelated temporal intensity patterns for both partially and uncorrelated fields. Experiments are in close agreement with the theoretical analysis.

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“…In a loose sense, this phenomenological behavior is reminiscent of a rogue-like wave phenomenon. Extreme wave events have been widely investigated in the context of optics [63][64][65][66], in particular in the presence of a non-instantaneous (Raman-like) non-linearity [67][68][69][70][71]. Note however that, although rogue waves have been shown to emerge from a turbulent environment, so far, the rogue wave itself has been always identified as being inherently a coherent localized entity [72][73][74][75][76][77][78][79][80][81][82][83][84].…”

Section: Toward Incoherent Rogue Waves?mentioning

confidence: 99%

Incoherent Shock and Collapse Singularities in Non-Instantaneous Nonlinear Media

Fusaro

Garnier

et al. 2018

Applied Sciences

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We study the dynamics of a partially incoherent optical pulse that propagates in a slowly responding nonlinear Kerr medium. We show that irrespective of the sign of the dispersion (either normal or anomalous), the incoherent pulse as a whole exhibits a global collective behavior characterized by a dramatic narrowing and amplification in the strongly non-linear regime. The theoretical analysis based on the Vlasov formalism and the method of the characteristics applied to a reduced hydrodynamic model reveal that such a strong amplitude-incoherent pulse originates in the existence of a concurrent shock-collapse singularity (CSCS): The envelope of the intensity of the random wave exhibits a collapse singularity, while the momentum exhibits a shock singularity. The dynamic behavior of the system after the shock-collapse singularity is characterized through the analysis of the phase-space dynamics.

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Extreme statistics in Raman fiber amplifiers: From analytical description to experiments

Cited by 41 publications

References 46 publications

Rogue Waves in Spatially Extended Optical Systems

Rogue Waves in Spatially Extended Optical Systems

Linear and Nonlinear Fiber Propagation of Partially Coherent Fields Exhibiting Temporal Correlations

Incoherent Shock and Collapse Singularities in Non-Instantaneous Nonlinear Media

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