Experimental dynamics of Akhmediev breathers in a dispersion varying optical fiber

Bendahmane, Abdelkrim; Mussot, Arnaud; Szriftgiser, Pascal; Zerkak, O.; Genty, Goëry; Dudley, John M.; Kudlinski, Alexandre

doi:10.1364/ol.39.004490

Cited by 25 publications

(29 citation statements)

References 19 publications

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“…In this paper we show that this question can find a simple answer in terms of the so-called Akhmediev breather (AB) solutions of the NLSE [5,6,12,13,15,30]. Moreover, we present a conclusive experimental evidence of this theoretical finding.…”

Section: Introductionmentioning

confidence: 63%

“…Initial MI studies essentially aimed at the observation of the early stage of exponential growth of the wave perturbation spectrum. It is only recently that the main focus of the experiments has been moved to the fully nonlinear (or long-term) evolution of MI [9][10][11][12][13][14][15][16][17]. In spite of the valuable pioneering approaches [4][5][6], such problem remains open even theoretically, at least in its most general formulation, thus continuing to require considerable efforts [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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Optimal frequency conversion in the nonlinear stage of modulation instability

Bendahmane¹,

Mussot²,

Kudlinski³

et al. 2015

Opt. Express

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Abstract:We investigate multi-wave mixing associated with the strongly pump depleted regime of induced modulation instability (MI) in optical fibers. For a complete transfer of pump power into the sideband modes, we theoretically and experimentally demonstrate that it is necessary to use a much lower seeding modulation frequency than the peak MI gain value. Our experiment shows that, at such optimal modulation frequency, a record 95 % of the output pump power is frequency converted into the comb of sidebands, in good quantitative agreement with analytical predictions based on the simplest exact breather solution of the nonlinear Schrödinger equation.

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Section: Introductionmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Optimal frequency conversion in the nonlinear stage of modulation instability

Bendahmane¹,

Mussot²,

Kudlinski³

et al. 2015

Opt. Express

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“…The analysis reported in Ref. [20] has demonstrated that, in the range of 0 < a < 0.2, the evolution of the maximally compressed pulse train can be frozen with the help of a specifically tailoring the GVD profile, which leads to formation of a quasi-stable train of fundamental solitons, while at a > 0.2 a delay-line interferometer can be used to create a high-power pulse train with the double repetition rate and zero background, as shown in Ref. [27].…”

Section: High-power Pulse Trains Produced By the Hirota Equationmentioning

confidence: 99%

“…[9]. Collisions between ABs [19], their dynamics in optical fibers with a longitudinally tailored dispersion [20], and shaping of an optical frequency comb into a generator of rogue waves [21] have been demonstrated too. In these experiments, the ABs and KMSs were excited by weakly and strongly modulated continuous waves (CWs), respectively.…”

Section: Introductionmentioning

confidence: 99%

High-power pulse trains excited by modulated continuous waves

Wang

Song

et al. 2015

J. Opt. Soc. Am. B

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Pulse trains growing from modulated continuous waves (CWs) are considered, using solutions of the Hirota equation for solitons on a finite background. The results demonstrate that pulses extracted from the maximally compressed trains can propagate preserving their shape and forming robust arrays. The dynamics of double high-power pulse trains produced by modulated CWs in a model of optical fibers, including the Raman effect and other higher-order terms, is considered in detail too. It is demonstrated that the double trains propagate in a robust form, with frequencies shifted by the Raman effect.

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“…Much of this work has also been motivated by a parallel research effort using nonlinear optical fibre systems to implement controlled experiments studying NLSE dynamics and rogue waves in an optical context [9][10][11][12][13][14][15]. Many of the recent studies have focussed on the characteristics of the Akhmediev breather [6], a soliton on finite background solution which is excited from a weak periodic modulation and which is localized in the longitudinal dimension as it undergoes growth and decay.…”

mentioning

confidence: 99%

Akhmediev breathers and Peregrine solitary waves in a quadratic medium

Baronio¹

2017

Opt. Lett.

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We investigate the formation of optical localized nonlinear structures, evolving upon a non-zero background plane wave, in a dispersive quadratic medium. We show the existence of quadratic Akhmediev breathers and Peregrine solitary waves, in the regime of cascading second-harmonic generation. This finding opens a novel path for the excitation of extreme rogue waves and for the description of modulation instability in quadratic nonlinear optics.In dispersive optical media, with cubic Kerr nonlinearity, the nonlinear Schrödinger equation (NLSE) provides a central description of a variety of nonlinear localization effects [1]. In fact, since the 1970s there has been wide and continued investigation into the properties of analytic soliton solutions of the NLSE [2], both for their intrinsic scientific interest, as well as for their potential to provide new insights into important applications such as optical propagation in nonlinear waveguides [3]. For the case of a self-focussing nonlinearity, the most celebrated solution of this type is very likely the propagation-invariant hyperbolic secant bright soliton, but there is also an extensive literature studying various types of solitons on finite background consisting of a localized nonlinear structure evolving upon a nonzero background plane wave [4][5][6].Solitons on finite background have recently attracted significant interest as their localization dynamics have been proposed as an important mechanism underlying the formation of the infamous extreme amplitude rogue waves on the surface of the ocean [7,8]. Much of this work has also been motivated by a parallel research effort using nonlinear optical fibre systems to implement controlled experiments studying NLSE dynamics and rogue waves in an optical context [9][10][11][12][13][14][15]. Many of the recent studies have focussed on the characteristics of the Akhmediev breather [6], a soliton on finite background solution which is excited from a weak periodic modulation and which is localized in the longitudinal dimension as it undergoes growth and decay. Experiments in optics have demonstrated important links to modulation instability (MI) [9,[12][13][14]: of importance has been the realization that many properties of MI previously described only approximately (via numerical or truncated mode approaches) can in fact be described almost exactly using Akhmedievbreathers. Another significant application of the theory of Akhmediev breathers has been to design experiments generating the rational Peregrine soliton [5], an important and limiting case of a solitons on finite background solution that is localised in both transverse and longitudinal dimensions [10,11].In dispersive optical media, with quadratic nonlinearity, the existence of localized nonlinear structures evolving upon a non-zero background plane wave remained unexplored to date.In this Letter, we investigate the formation of localized nonlinear structures, evolving upon a non-zero background plane wave, in optical systems described by second harmonic generati...

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Experimental dynamics of Akhmediev breathers in a dispersion varying optical fiber

Abstract: We investigate experimentally the dynamics of Akhmediev breathers in an optical fiber with a longitudinally tailored dispersion that allows to nearly freeze the breather evolution near their point of maximal compression. Our results are in good agreement with numerical simulations.

Cited by 25 publications

References 19 publications

Optimal frequency conversion in the nonlinear stage of modulation instability

Optimal frequency conversion in the nonlinear stage of modulation instability

High-power pulse trains excited by modulated continuous waves

Akhmediev breathers and Peregrine solitary waves in a quadratic medium

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