Experimental observation of the emergence of Peregrine-like events in focusing dam break flows

Audo, Frédéric; Kibler, Bertrand; Fatome, Julien; Finot, Christophe

doi:10.1364/ol.43.002864

Cited by 27 publications

(22 citation statements)

References 25 publications

(40 reference statements)

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“…Recent optical fiber experiments reported in ref. [72] have also evidenced a spatio-temporal evolution very similar to the one that we observe with the rectangular wave train of the smallest width (∆T 1 = 30 s), compare Fig.1 (b) with Fig. 3(a) of ref.…”

Section: Water Wave Experimentssupporting

confidence: 84%

“…One of the prominent features of the genus 2 region is the occurrence of a large-amplitude breather at the center with the characteristics close to those of the Peregrine soliton (see Fig. 2(d)) as predicted in [54] and experimentally observed in fiber optics in [72].…”

Section: B Main Results From the Semi-classical Theorysupporting

confidence: 68%

“…However the work reported in ref. [72] was concentrated on the emergence of Peregrine-like events and did not allow for a meaningful quantitative, or even qualitative, identification of the observed wave patterns with DSWs due to very few oscillations observed.…”

Section: Water Wave Experimentsmentioning

confidence: 99%

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From modulational instability to focusing dam breaks in water waves

et al. 2020

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We report water wave experiments performed in a long tank where we consider the evolution of nonlinear deep-water surface gravity waves with the envelope in the form of a large-scale rectangular barrier. Our experiments reveal that, for a range of initial parameters, the nonlinear wave packet is not disintegrated by the Benjamin-Feir instability but exhibits a specific, strongly nonlinear modulation, which propagates from the edges of the wavepacket towards the center with finite speed. Using numerical tools of nonlinear spectral analysis of experimental data we identify the observed envelope wave structures with focusing dispersive dam break flows, a peculiar type of dispersive shock waves recently described in the framework of the semi-classical limit of the 1D focusing nonlinear Schrödinger equation (1D-NLSE). Our experimental results are shown to be in a good quantitative agreement with the predictions of the semi-classical 1D-NLSE theory. This is the first observation of the persisting dispersive shock wave dynamics in a modulationally unstable water wave system.

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Section: Water Wave Experimentssupporting

confidence: 84%

Section: B Main Results From the Semi-classical Theorysupporting

confidence: 68%

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From modulational instability to focusing dam breaks in water waves

et al. 2020

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“…However, a better understanding of the nonlinear dynamics will stimulate further theoretical research with more advanced tools. Using topological perspective will enable to better determine the theoretical guidelines to apply and the balance between the duration, peak power, dispersion/diffraction and nonlinearity that has to be targeted [14,17].…”

Section: Discussionmentioning

confidence: 99%

Optical pulse doublet resulting from the nonlinear splitting of a super-Gaussian pulse

Finot

2020

Laser Phys. Lett.

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We experimentally demonstrate the generation of a temporal pulse doublet from the propagation of an initial super-Gaussian waveform in a nonlinear focusing medium. The picosecond structures are characterized both in amplitude and phase and their close-to-Gaussian Fourier-transform limited shape is found in excellent agreement with numerical simulations. This nonlinear fiber-based single-stage reshaping scheme is energy efficient, can sustain GHz repetition rates and temporal compression factors around 10 are demonstrated.

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“…DSWs, RWs, and soliton gases (SGs) are related phenomena, and all appear in paradigmatic nonlinear evolutions, as the box problem for the focusing NLSE [30][31][32][33][34]. * giulia.marcucci@uniroma1.it However, the latter equation is solvable by IST only when the number of degrees of freedom in the IST description is limited.…”

mentioning

confidence: 99%

Topological control of extreme waves

et al. 2019

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From optics to hydrodynamics, shock and rogue waves are widespread. Although they appear as distinct phenomena, new theories state that transitions between extreme waves are allowed. However, these have never been experimentally observed because of the lack of control strategies.We introduce a new concept of nonlinear wave topological control, based on the one-to-one correspondence between the number of wave packet oscillating phases and the genus of toroidal surfaces associated with the nonlinear Schrödinger equation solutions by the Riemann theta function. We prove it experimentally by reporting the first observation of supervised transitions between extreme waves with different genera, like the continuous transition from dispersive shock to rogue waves. Specifically, we use a parametric time-dependent nonlinearity to shape the asymptotic wave genus. We consider the box problem in a focusing Kerr-like photorefractive medium and tailor time-dependent propagation coefficients, as nonlinearity and dispersion, to explore each region in the state-diagram and include all the dynamic phases in the nonlinear wave propagation.Our result is the first example of the topological control of integrable nonlinear waves. This new technique casts light on dispersive shock waves and rogue wave generation, and can be extended to other nonlinear phenomena, from classical to quantum ones. The outcome is not only important for fundamental studies and control of extreme nonlinear waves, but can be also applied to spatial beam shaping for microscopy, medicine and spectroscopy, and to the broadband coherent light generation.

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Experimental observation of the emergence of Peregrine-like events in focusing dam break flows

Cited by 27 publications

References 25 publications

From modulational instability to focusing dam breaks in water waves

From modulational instability to focusing dam breaks in water waves

Optical pulse doublet resulting from the nonlinear splitting of a super-Gaussian pulse

Topological control of extreme waves

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