Rogue waves under influence of Raman delay

Ankiewicz, Adrian; Bokaeeyan, Mahyar; Akhmediev, Nail

doi:10.1364/josab.35.000899

Cited by 13 publications

(9 citation statements)

References 50 publications

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“…We note by passing that in nonintegrable systems, large and spontaneous local excitations can also arise from a constant-amplitude background if such background admits baseband modulation instability (see [5] for instance). But such excitations do not retreat back to the same background, and are not expected to admit exact analytical expressions, due to the lack of integrability of the underlying nonlinear wave equations [37].…”

Section: Introductionmentioning

confidence: 99%

Rogue waves in the generalized derivative nonlinear Schrodinger equations

Yang,

Chen,

Yang

2019

Preprint

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General rogue waves are derived for the generalized derivative nonlinear Schrödinger (GDNLS) equations by a bilinear Kadomtsev-Petviashvili (KP) reduction method. These GDNLS equations contain the Kaup-Newell equation, the Chen-Lee-Liu equation and the Gerdjikov-Ivanov equation as special cases. In this bilinear framework, it is shown that rogue waves to all members of these equations are expressed by the same bilinear solution. Compared to previous bilinear KP reduction methods for rogue waves in other integrable equations, an important improvement in our current KP reduction procedure is a new parameterization of internal parameters in rogue waves. Under this new parameterization, the rogue wave expressions through elementary Schur polynomials are much simpler. In addition, the rogue wave with the highest peak amplitude at each order can be obtained by setting all those internal parameters to zero, and this maximum peak amplitude at order N turns out to be 2N + 1 times the background amplitude, independent of the individual GDNLS equation and the background wavenumber. It is also reported that these GDNLS equations can be decomposed into two different bilinear systems which require different KP reductions, but the resulting rogue waves remain the same. Dynamics of rogue waves in the GDNLS equations is also analyzed. It is shown that the wavenumber of the constant background strongly affects the orientation and duration of the rogue wave. In addition, some new rogue patterns are presented.

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Section: Introductionmentioning

confidence: 99%

Rogue waves in the generalized derivative nonlinear Schrodinger equations

Yang,

Chen,

Yang

2019

Preprint

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“…In this case, in order to systematically manipulate their spectro-temporal dynamics, more advanced technics and investigations are a very challenging subject of future studies. To this end, it is worth mentioning recent theoretical efforts made to extend the existence of breather and rogue wave solutions towards more complex extensions of the NLSE [31][32][33][34].…”

Section: Discussionmentioning

confidence: 99%

Space–time evolution of optical breathers and modulation instability patterns in metamaterial waveguides

McNiff

Boardman

et al. 2020

Wave Motion

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We present numerical and theoretical investigations of the spontaneous emergence of noise-driven modulation instability patterns in a metamaterial waveguide, which involves the generation of optical breather waves such as the Peregrine soliton, Akhmediev breathers and Kuznetsov-Ma breathers. We show that the intrinsic properties of the metamaterial waveguide, e.g. self-steepening and the magnetooptics effects, offer the potential to control the formation and subsequent spectral and temporal dynamics of these localized nonlinear waves. Such internal or external perturbations break the symmetry of the spectrum of nonlinear waves, thus leading to the existence of a controllable characteristic group velocity in their space-time evolution.

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“…The observation of RWs due to soliton explosion has been reported from a net-normal dispersion erbium-fiber laser cavity operating in dissipative soliton state [26]. RWs have also been observed during nonlinear scatterings in optical fibers, amplifiers and lasers [27,28]. In literature, RWs appearing at Raman Stokes wavelength or generally termed as Raman RWs are seldom reported from a fiber laser cavity.…”

Section: Introductionmentioning

confidence: 99%

Explosion induced rogue waves and chaotic multi-pulsing in a passively mode-locked all-normal dispersion fiber laser

Chowdhury

Gupta

Chatterjee

et al. 2020

J. Opt.

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In this work, an experimental study of non-stationary pulse dynamics consisting of explosion events and chaotic multi-pulsing from an all-normal dispersion Yb-fiber laser operating in noise-like pulse (NLP) state have been reported. During explosion in NLP state, which resembled soliton explosion, dispersive Fourier transform measurements revealed large, intermittent amplitude fluctuations in the real-time spectrum indicative of rogue waves. The fluctuations either appeared randomly at the lasing wavelength within the Yb-gain spectra or at the frequency downshifted Raman Stokes wavelength. It was also observed that such fluctuation at the Raman wavelength could even exceed the amplitude of the spectral components at the main lasing wavelength. With suitable adjustments to polarization controllers, the laser operation could be switched to chaotic multi-pulsing state where the acquisition of a large number of consecutive roundtrips revealed inter-pulse motion with unique trajectories occurring over millisecond time scales.

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Rogue waves under influence of Raman delay

Cited by 13 publications

References 50 publications

Rogue waves in the generalized derivative nonlinear Schrodinger equations

Rogue waves in the generalized derivative nonlinear Schrodinger equations

Space–time evolution of optical breathers and modulation instability patterns in metamaterial waveguides

Explosion induced rogue waves and chaotic multi-pulsing in a passively mode-locked all-normal dispersion fiber laser

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