Rogue wave formation by accelerated solitons at an optical event horizon

Demircan, Ayhan; Amiranashvili, Shalva; Brée, Carsten; Mahnke, Christoph; Mitschke, F.; Steinmeyer, Günter

doi:10.1007/s00340-013-5609-9

Cited by 35 publications

(23 citation statements)

References 53 publications

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“…It was the peaks in the resulting intensity time-series that showed striking long-tailed statistics. Figure 3 15 Note that although stimulated Raman scattering plays a central role in a fibre context, any perturbation that breaks NLSE integrability can cause a homogeneous initial state to selforganize into a large-scale, coherent rogue soliton as a result of multiple interactions with other solitons and dispersive waves [71]. Indeed, numerical studies have shown that higherorder dispersive perturbations alone can give rise to rogue solitons [59,68] provided that the incoherence in the system is not too large [48,72].…”

Section: Supercontinuum Generation and Solitonsmentioning

confidence: 99%

Instabilities, breathers and rogue waves in optics

et al. 2014

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Optical rogue waves are rare yet extreme fluctuations in the value of an optical field. The terminology was first used in the context of an analogy between pulse propagation in optical fibre and wave group propagation on deep water, but has since been generalized to describe many other processes in optics. This paper provides an overview of this field, concentrating primarily on propagation in optical fibre systems that exhibit nonlinear breather and soliton dynamics, but also discussing other optical systems where extreme events have been reported. Although statistical features such as long-tailed probability distributions are often considered the defining feature of rogue waves, we emphasise the underlying physical processes that drive the appearance of extreme optical structures.Many physical systems exhibit behaviour associated with the emergence of high amplitude events that occur with low probability but that have dramatic impact. Perhaps the most celebrated examples of such processes are the giant oceanic "rogue waves" that emerge unexpectedly from the sea with great destructive power [1]. There is general agreement that 2 the emergence of giant waves involves physics different from that generating the usual population of ocean waves, but equally there is a consensus that one unique causative mechanism is unlikely. Indeed, oceanic rogue waves have been shown to arise in many different ways: from linear effects such as directional focusing or random superposition of independent wave trains, to nonlinear effects associated with the growth of surface noise to form localized wave structures [1,2].The analogous physics of nonlinear wave propagation in optics and in hydrodynamics has been known for decades, and the focusing nonlinear Schrödinger equation (NLSE) applies to both systems in certain limits (Box 1). The description of instabilities in optics as "rogue waves" is recent, however, first used in 2007 when shot-to-shot measurements of fibre supercontinuum (SC) spectra by Solli et al. yielded long-tailed histograms for intensity fluctuations at long wavelengths [3]. An analogy between this optical instability and oceanic rogue waves was suggested for two reasons. Firstly, highly skewed distributions are often considered to define extreme processes, since they predict that high amplitude events far from the median are still observed with non-negligible probability [4]. And secondly, the particular regime of SC generation being studied developed from modulation instability (MI), a nonlinear process associated with exponential amplification of noise that had previously been proposed as an ocean rogue wave generating mechanism [2].These pioneering results enabled for the first time a quantitative analysis of the fluctuations at the spectral edge of a broadband supercontinuum, and motivated many subsequent studies into how large amplitude structures could emerge in optical systems.These studies attracted broad interest and have essentially opened up a new field of "optical rogue wave physics". Although most...

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Section: Supercontinuum Generation and Solitonsmentioning

confidence: 99%

Instabilities, breathers and rogue waves in optics

et al. 2014

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“…This picture not only suggests interesting links with general relativity 1,3,4,8,9 , but the underlying dynamics have also been postulated to influence the formation of optical rogue waves 7,11,12 , and to allow for the realization of optical functionalities such as the all-optical transistor 5 .…”

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confidence: 99%

Nonlinear optics of fibre event horizons

et al. 2014

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The nonlinear interaction of light in an optical fibre can mimic the physics at an event horizon. This analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity. To date, these dynamics have been described in the time domain in terms of a soliton-induced refractive index barrier that modifies the velocity of the probe. Here we complete the physical description of fibre-optic event horizons by presenting a full frequency-domain description in terms of cascaded four-wave mixing between discrete single-frequency fields, and experimentally demonstrate signature frequency shifts using continuous wave lasers. Our description is confirmed by the remarkable agreement with experiments performed in the continuum limit, reached using ultrafast lasers. We anticipate that clarifying the description of fibre event horizons will significantly impact on the description of horizon dynamics and soliton interactions in photonics and other systems.

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“…The discussed scattering processes in the event horizon have previously reported to also appear in the presence of the Raman effect [7,17,[42][43][44][45] and the same process may therefore exploited for SC generation. For the particular frequency combination [1550,627] nm, we previously demonstrated that a SC with a similarly high degree of coherence is generated [14].…”

Section: Supercontinuum Generation Under Consideration Of the Raman Ementioning

confidence: 83%

Supercontinuum generation by multiple scatterings at a group velocity horizon

Demircan¹,

Amiranashvili²,

Brée³

et al. 2014

Opt. Express

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A new scheme for supercontinuum generation covering more than one octave and exhibiting extraordinary high coherence properties has recently been proposed [Phys. Rev. Lett. 110, 233901 (2013)]. The scheme is based on two-pulse collision at a group velocity horizon between a dispersive wave and a soliton. Here we demonstrate that the same scheme can be exploited for the generation of supercontinua encompassing the entire transparency region of fused silica, ranging from 300 to 2300nm. At this bandwidth extension, the Raman effect becomes detrimental, yet may be compensated by using a cascaded collision process. Consequently, the high degree of coherence does not degrade even in this extreme scenario.

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Rogue wave formation by accelerated solitons at an optical event horizon

Cited by 35 publications

References 53 publications

Instabilities, breathers and rogue waves in optics

Instabilities, breathers and rogue waves in optics

Nonlinear optics of fibre event horizons

Supercontinuum generation by multiple scatterings at a group velocity horizon

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