Exploding solitons vs rogue waves in laser cavities

Chang, Wonkeun; Akhmediev, Nail

doi:10.1364/np.2014.nm3a.6

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…Although it was suggested that RSs are exact solutions of the nonlinear Schrödinger (NLS) equation, such as the Akhmediev's breather [9,[15][16][17][18] or the Peregrine soliton [19], or rather solutions of a more general model [20][21][22], there are strong indications that they originate from a combination of higher-order effects such as Raman scattering, selfsteepening, and higher-order dispersions [8,23]. Actually, already in 1989, the appearance of transient pulses that strongly remember rogue wave solitons was identified in Raman systems [24] and, more recently, extreme events (in the form of RSs and rains of solitons) were found in dissipative systems [25][26][27][28][29] and even in integrated optical resonators on chips [30]. The exact role of those effects is still debated, because approaches based on integrable turbulence [17] or the Zakharov-Shabat problem [18] seem to provide insightful results, but a link between the regular NLS dynamics and the observed perturbed evolution is still unclear [31].…”

Section: Introductionmentioning

confidence: 99%

Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?

Armaroli¹,

Conti²,

Biancalana³

2015

Optica

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Nondeterministic giant waves, denoted as rogue, killer, monster, or freak waves, have been reported in many different branches of physics. Their physical interpretation is however still debated: despite massive numerical and experimental evidence, a solid explanation for their spontaneous formation has not been identified yet. Here we propose that rogue waves [more precisely, rogue solitons (RSs)] in optical fibers may actually result from a complex dynamical process very similar to well-known mechanisms such as glass transitions and protein folding. We describe how the interaction among optical solitons produces an energy landscape in a highly dimensional parameter space with multiple quasi-equilibrium points. These configurations have the same statistical distribution of the observed rogue events and are explored during the light dynamics due to soliton collisions, with inelastic mechanisms enhancing the process. Slightly different initial conditions lead to very different dynamics in this complex geometry; a RS turns out to stem from one particularly deep quasi-equilibrium point of the energy landscape in which the system may be transiently trapped during evolution. This explanation will prove to be fruitful to the vast community interested in freak waves. (C) 2015 Optical Society of America

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Section: Introductionmentioning

confidence: 99%

Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?

Armaroli¹,

Conti²,

Biancalana³

2015

Optica

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“…Soliton explosions were firstly predicted in the framework of the complex cubic-quintic Ginzburg-Landau equation (CQGLE) 1 , emphasizing that highorder nonlinear terms are crucial to make a soliton explode. Later on, several numerical investigations have been carried out [2][3][4][5] , trying to better understand the intrinsic mechanisms involved in soliton explosions and subsequent revivals of the soliton.…”

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confidence: 99%

Soliton collision induced explosions in a mode-locked fibre laser

Peng

Zeng

2019

Commun Phys

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Soliton explosion refers to a striking nonlinear dynamics in dissipative systems. In this state, a dissipative soliton collapses but returns back to its original state afterwards. Yet, the origin of such exotic soliton dynamics remains elusive. Here it is revealed that soliton collision can induce soliton explosions in a mode-locked fibre laser, benefiting from synchronous measurements of the spatio-temporal intensity evolution and the real-time spectra evolution using dispersive Fourier transform. Up to seven nonlinear regimes are observed successively in the laser by increasing the pump power only, including single-pulse mode locking, standard soliton explosions, noise-like mode locking, stable double pulsing, soliton collision induced explosions, soliton molecules, and double-pulse noise-like mode locking. These experimental findings are conducive to understand complex soliton dynamics in many nonlinear dissipative systems.

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Dissipative rogue waves generated by multi-soliton explosions in an ultrafast fiber laser

Luo

Zhang

et al. 2022

Opt. Express

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Derived from oceanography, nowadays the investigation of rogue waves (RWs) has been widely spread in various fields, particularly in nonlinear optics. Passively mode-locked fiber laser has been regarded as one of the excellent platforms to investigate the dissipative RWs (DRWs). Here, we report the observation of DRW generation induced by single and multi-soliton explosions in a passively mode-locked fiber laser. It was demonstrated that through the gain-mediated soliton interactions, one soliton could erupt because of the explosion of another soliton in the laser cavity. Meanwhile, the high-amplitude waves, which fulfill the DRWs criteria, could be detected in the multi-soliton explosion states. The DRWs were identified by characterizing the peak intensity statistics of the time-stretched soliton profiles. Particularly, it was found that the ratio between the highest recorded amplitudes and significant wave heights (SWHs) of DRWs induced by multi-soliton explosions is higher than that by single-soliton explosion case. Our findings will further contribute to the understanding of the physical mechanisms of DRWs in the soliton explosion regime.

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Exploding solitons vs rogue waves in laser cavities

Abstract: Exploding solitons can be found in dissipative systems including laser cavities and reaction-diffusion systems. Certain choice of laser parameters allows us to obtain very high amplitudes during explosions. They can be considered as rogue waves.

Cited by 3 publications

References 13 publications

Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?

Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?

Soliton collision induced explosions in a mode-locked fibre laser

Dissipative rogue waves generated by multi-soliton explosions in an ultrafast fiber laser

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