Baseband modulation instability as the origin of rogue waves

Baronio, Fabio; Chen, Shihua; Grelu, Philippe; Wabnitz, Stefan; Conforti, Matteo

doi:10.1103/physreva.91.033804

Cited by 175 publications

(114 citation statements)

References 39 publications

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“…We envisage that the present results may have significant consequences for the design of nonlinear transmission systems, and may have important applications to optical signal processing devices and fiber lasers. Moreover our observations may impact the application of the Manakov model to describe the formation of extreme waves in multicomponent systems [29,30].…”

Section: Discussionmentioning

confidence: 93%

“…P o = 9π 2 2 β 2 8γ denotes the power for which the low cutoff frequency vanishes (e.g., P o = 0.134 W for = 40 GHz). One remarkable point is that in the defocusing case, contrary to the focusing case, distinct passband and baseband MI regimes exist: the bandwidth of PMI 0 1 < < 2 , in which G( ) = 0, is passband if 1 > 0, while it is baseband if 1 = 0 [29,30]. Another noticeable point is that, contrary to the highly birefringent fiber case [37], there is no critical power beyond which the PMI disappears.…”

Section: Theoretical Analysis Of Polarization Modulation Instabilitymentioning

confidence: 98%

“…From the point of view of telecom applications, XPolM-MI can be an essential source of nonlinear impairments for WDM systems with polarization interleaving or polarization multiplexing [42][43][44][45]. Also on a more fundamental level, MI is a generic nonlinear process that occurs in many areas, and it is at the origin of very important fundamental phenomena, such as optical soliton generation [46,47], supercontinuum generation [48], and rogue wave formation [29,30,[49][50][51].…”

Section: Theoretical Analysis Of Polarization Modulation Instabilitymentioning

confidence: 99%

“…We analyze the particular case of polarization modulation instability (PMI) in the normal dispersion regime (i.e., the defocusing regime in the equivalent spatial case), which can be of a passband or baseband nature [29,30]. The MI of two WDM pumps with an orthogonal state of polarization is induced by spontaneous (or quantum) noise.…”

Section: Introductionmentioning

confidence: 99%

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Polarization modulation instability in a Manakov fiber system

et al. 2015

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The Manakov model is the simplest multicomponent model of nonlinear wave theory: It describes elementary stable soliton propagation and multisoliton solutions, and it applies to nonlinear optics, hydrodynamics, and Bose-Einstein condensates. It is also of fundamental interest as an asymptotic model in the context of the widely used wavelength-division-multiplexed optical fiber transmission systems. However, although its physical relevance was confirmed by the experimental observation of Manakov (vector) solitons in a planar waveguide in 1996, there have in fact been no quantitative experiments confirming its validity for nonlinear dynamics other than soliton formation. Here, we report experiments in optical fiber that provide evidence of passband and baseband polarization modulation instabilities in a defocusing Manakov system. In the spontaneous regime, we also reveal a unique saturation effect as the pump power increases. We anticipate that such observations may impact the application of this minimal model to describe and understand more complicated phenomena in nature, such as the formation of extreme waves in multicomponent systems.

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Section: Discussionmentioning

confidence: 93%

Section: Theoretical Analysis Of Polarization Modulation Instabilitymentioning

confidence: 98%

Section: Theoretical Analysis Of Polarization Modulation Instabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Polarization modulation instability in a Manakov fiber system

et al. 2015

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“…It has been recently realized that rogue wave exists only in the MI subregion with zero-frequency [37], and the state transition between rogue wave and W-shaped soliton arises from the attenuation of MI growth rate [30,38]. Hence for the sake of using Eq.…”

Section: Modulation Instabilitymentioning

confidence: 99%

Rogue waves and W-shaped solitons in the multiple self-induced transparency system

Wang

Liu

Wang

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We study localized nonlinear waves on a plane wave background in the multiple self-induced transparency (SIT) system, which describes an important enhancement of the amplification and control of optical waves compared to the single SIT system. A hierarchy of exact multiparametric rational solutions in a compact determinant representation are presented. We demonstrate that, this family of solutions contains known rogue wave solution and unusual W-shaped soliton solution, which strictly corresponds to the linear stability analysis that involves modulation instability and stability regimes in the low perturbation frequency region. State transitions between rogue waves and Wshaped solitons as well as the higher-order nonlinear superposition modes are revealed by the suitable choice for the background wavenumber of electric field component. In particular, our results show that, the multiple SIT system admits stationary and nonstationary nonlinear modes in contrast to the results in the single SIT system. Correspondingly, the important characteristics of the nonlinear waves including trajectories and spectrum are revealed in detail.

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Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

Kengne

Liu

2021

Advcd Theory and Sims

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A discrete nonlinear transmission network with dispersive element is considered. It is shown that the dynamics of slowly modulated waves propagating in this network are governed by a generalized cubic‐quintic nonlinear Schrödinger equation with self‐steepening and self‐frequency shift. Through the baseband modulational instability (MI) analysis, the conditions for this network to support the propagation of chirped super rogue waves (SRWs) are obtained. Based on the analytical rational solutions of the governed equation, chirped first‐ and second‐order super rogue waves are engineered in the nonlinear transmission network under consideration. The effects of the dispersive elements of the network on the chirped SRWs propagating in the network system are investigated. Particularly, it is shown that the introduction of the dispersive linear capacitance of the network enhances the baseband MI and both the derived SRWs and the corresponding frequency chirp are localized in both time and space. It is also shown that the structure of the frequency chirp depends strongly on the pulse self‐steepening and self‐frequency shift.

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Baseband modulation instability as the origin of rogue waves

Cited by 175 publications

References 39 publications

Polarization modulation instability in a Manakov fiber system

Polarization modulation instability in a Manakov fiber system

Rogue waves and W-shaped solitons in the multiple self-induced transparency system

Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

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