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Rogue waves in oceans and optical fibres

Title
Rogue waves in oceans and optical fibres
Funding
ARC | Discovery Projects
Contract (GA) number
DP110102068
Start Date
2011/01/01
End Date
2013/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP110102068

 

  • Spectral dynamics of modulation instability described using Akhmediev breather theory

    Hammani , Kamal; Wetzel , Benjamin; Kibler , Bertrand; Fatome , Julien; Finot , Christophe; Millot , Guy; Akhmediev , Nail; Dudley , John M. (2011)
    Projects: ARC | Rogue waves in oceans and optical fibres (DP110102068)
    International audience; The Akhmediev breather formalism of modulation instability is extended to describe the spectral dynamics of induced multiple sideband generation from a modulated continuous wave field. Exact theoretical results describing the frequency domain evolution are compared with experiments performed using single mode fiber around 1550 nm. The spectral theory is shown to reproduce the depletion dynamics of an injected modulated continuous wave pump and to describe the Fermi-Pas...

    Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model

    Chabchoub , Amin; Hoffmann , Norbert; Branger , Hubert; Kharif , Christian; Akhmediev , Nail (2013)
    Projects: ARC | Rogue waves in oceans and optical fibres (DP110102068)
    International audience; Being considered as a prototype for description of oceanic rogue waves (RWs), the Peregrine breather solution of the nonlinear Schrodinger equation (NLS) has been recently observed and intensely investigated experimentally in particular within the context of water waves. Here, we report the experimental results showing the evolution of the Peregrine solution in the presence of wind forcing in the direction of wave propagation. The results show the persistence of the br...

    Observation of Kuznetsov-Ma soliton dynamics in optical fibre

    Kibler, B.; Fatome, J.; Finot, C.; Millot, G.; Genty, G.; Wetzel, B.; Akhmediev, N.; Dias, F.; Dudley, J. M. (2012)
    Projects: ARC | Rogue waves in oceans and optical fibres (DP110102068), EC | MULTIWAVE (290562)
    The nonlinear Schrödinger equation (NLSE) is a central model of nonlinear science, applying to hydrodynamics, plasma physics, molecular biology and optics. The NLSE admits only few elementary analytic solutions, but one in particular describing a localized soliton on a finite background is of intense current interest in the context of understanding the physics of extreme waves. However, although the first solution of this type was the Kuznetzov-Ma (KM) soliton derived in 1977, there have in f...

    Experimental observation of dark solitons on the surface of water

    Chabchoub , Amin; Kimmoun , Olivier; Branger , Hubert; Hoffmann , Norbert; Proment , D.; Onorato , M.; Akhmediev , Nail (2013)
    Projects: EC | EXTREME SEAS (234175), ARC | Rogue waves in oceans and optical fibres (DP110102068)
    International audience; We present the first ever observation of dark solitons on the surface of water. It takes the form of an amplitude drop of the carrier wave which does not change shape in propagation. The shape and width of the soliton depend on the water depth, carrier frequency, and the amplitude of the background wave. The experimental data taken in a water tank show an excellent agreement with the theory. These results may improve our understanding of the nonlinear dynamics of water...

    Hydrodynamic Supercontinuum

    Chabchoub, A.; Hoffmann, N.; Onorato, M.; Genty, G.; Dudley, J. M.; Akhmediev, N. (2013)
    Projects: EC | MULTIWAVE (290562), EC | EXTREME SEAS (234175), ARC | Rogue waves in oceans and optical fibres (DP110102068)
    We demonstrate experimentally multi-bound-soliton solutions of the Nonlinear Schr\"odinger equation (NLS) in the context of surface gravity waves. In particular, the Satsuma-Yajima N-soliton solution with N=2,3,4 is investigated in detail. Such solutions, also known as breathers on zero background, lead to periodic self-focussing in the wave group dynamics, and the consequent generation of a steep localized carrier wave underneath the group envelope. Our experimental results are compared with...

    Super rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations

    Slunyaev, A.; Pelinovsky, E.; Sergeeva, A.; Chabchoub, A.; Hoffmann, N.; Onorato, M.; Akhmediev, N. (2012)
    Projects: FWF | Resonance Systems with Modulational Instability (RSMI) (P 24671), EC | DEROGUE WAVES (909389), EC | EXTREME SEAS (234175), ARC | Rogue waves in oceans and optical fibres (DP110102068)
    The rogue wave solutions (rational multi-breathers) of the nonlinear Schrodinger equation (NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear hydrodynamic equations. Only the lowest order solutions from 1 to 5 are considered. A higher accuracy of wave propagation in space is reached using the modified NLS equation (MNLS) also known as the Dysthe equation. This numerical modelling allowed us to directly compare simulations with recent results of laboratory measure...
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