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Open AccessJournal ArticleDOI

Observation of a group of dark rogue waves in a telecommunication optical fiber

TLDR
In this article, the authors investigated the rogue wave dynamics governed by coupled nonlinear Schrodinger equation (NLSE) models and reported the evidence of a group of three dark rogue waves, the so-called dark three-sister rogue waves.
Abstract
Over the past decade, the rogue wave debate has stimulated the comparison of predictions and observations among different branches of wave physics, particularly between hydrodynamics and optics, in situations where analogous dynamical behaviors can be identified, thanks to the use of common universal models. Although the scalar nonlinear Schr\"odinger equation (NLSE) has constantly played a central role for rogue wave investigations, moving beyond the standard NLSE model is relevant and needful for describing more general classes of physical systems and applications. In this direction, the coupled NLSEs are known to play a pivotal role for the understanding of the complex wave dynamics in hydrodynamics and optics. Benefiting from the advanced technology of high-speed telecommunication-grade components, and relying on a careful design of the nonlinear propagation of orthogonally polarized optical pump waves in a randomly birefringent telecom fiber, this work explores, both theoretically and experimentally, the rogue wave dynamics governed by such coupled NLSEs. We report, for the first time, the evidence of a group of three dark rogue waves, the so-called dark three-sister rogue waves, where experiments, numerics, and analytics show a very good consistency.

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Citations
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Journal ArticleDOI

Electro-optic frequency combs

TL;DR: In this article, the most recent progress made on frequency combs generated by electro-optic modulators, along with the applications where these combs have shown a particular interest are presented.
Journal ArticleDOI

Rogue waves and solitons of the coherently-coupled nonlinear Schrödinger equations with the positive coherent coupling

TL;DR: In this article, a set of coherently-coupled nonlinear Schrodinger equations with the positive coherent coupling terms, which are related to the optical fiber communication, are studied through the binary Darboux transformation with the dimensional reduction.
Journal ArticleDOI

Rogue waves in the nonlocal $${\mathcal {PT}}$$ PT -symmetric nonlinear Schrödinger equation

TL;DR: In this paper, three types of rogue waves are derived, and their explicit expressions in terms of Schur polynomials are presented, showing a much wider variety than those in the local NLS equation.
Journal ArticleDOI

Peregrine Solitons beyond the Threefold Limit and Their Two-Soliton Interactions

TL;DR: Within the coupled Fokas-Lenells equations framework, it is numerically confirmed that the Peregrine soliton beyond the threefold limit can be reproduced from either a deterministic initial profile or a chaotic background field, hence anticipating the feasibility of its experimental observation.
Journal ArticleDOI

General rogue waves in the nonlocal PT-symmetric nonlinear Schrodinger equation

TL;DR: In this paper, the Darboux transformation is applied to the non-local PT-symmetric nonlinear Schrodinger (NLS) equation and three types of rogue waves are derived, and their explicit expressions in terms of Schur polynomials are presented.
References
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Book ChapterDOI

I and J

Book

Nonlinear Fiber Optics

TL;DR: The field of nonlinear fiber optics has advanced enough that a whole book was devoted to it as discussed by the authors, which has been translated into Chinese, Japanese, and Russian languages, attesting to the worldwide activity in the field.
Journal ArticleDOI

Optical rogue waves

TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
Journal ArticleDOI

Water waves, nonlinear Schrödinger equations and their solutions

TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
Journal ArticleDOI

The Peregrine soliton in nonlinear fibre optics

TL;DR: The Peregrine soliton was observed experimentally for the first time by using femtosecond pulses in an optical fiber as mentioned in this paper, which gave some insight into freak waves that can appear out of nowhere before simply disappearing.
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