Observation of doubly periodic solutions of the nonlinear Schrödinger equation in optical fibers

Guillaume Vanderhaegen; Pascal Szriftgiser; Corentin Naveau; Alexandre Kudlinski; Matteo Conforti; Stefano Trillo; Nail Akhmediev; Arnaud Mussot

doi:10.1364/OL.394604

Observation of doubly periodic solutions of the nonlinear Schrödinger equation in optical fibers

Guillaume Vanderhaegen^*, Pascal Szriftgiser, Corentin Naveau, Alexandre Kudlinski, Matteo Conforti, Stefano Trillo, Nail Akhmediev, Arnaud Mussot

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We report the first, to the best of our knowledge, experimental observation of doubly periodic first-order solutions of the nonlinear Schrödinger equation in optical fibers. We confirm, experimentally, the existence of A-type and B-type solutions. This is done by using the initial conditions that consist of a strong pump and two weak sidebands. The evolution of power and phase of the main spectral components is recorded using heterodyne time-domain reflectometry. Another important part of our experiment is active loss compensation. We reach a good agreement between theory and experiment.

Original language	English
Pages (from-to)	3757-3760
Number of pages	4
Journal	Optics Letters
Volume	45
Issue number	13
DOIs	https://doi.org/10.1364/OL.394604
Publication status	Published - 1 Jul 2020

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title = "Observation of doubly periodic solutions of the nonlinear Schr{\"o}dinger equation in optical fibers",

abstract = "We report the first, to the best of our knowledge, experimental observation of doubly periodic first-order solutions of the nonlinear Schr{\"o}dinger equation in optical fibers. We confirm, experimentally, the existence of A-type and B-type solutions. This is done by using the initial conditions that consist of a strong pump and two weak sidebands. The evolution of power and phase of the main spectral components is recorded using heterodyne time-domain reflectometry. Another important part of our experiment is active loss compensation. We reach a good agreement between theory and experiment.",

author = "Guillaume Vanderhaegen and Pascal Szriftgiser and Corentin Naveau and Alexandre Kudlinski and Matteo Conforti and Stefano Trillo and Nail Akhmediev and Arnaud Mussot",

note = "Publisher Copyright: {\textcopyright} 2020 Optical Society of America.",

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doi = "10.1364/OL.394604",

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T1 - Observation of doubly periodic solutions of the nonlinear Schrödinger equation in optical fibers

AU - Vanderhaegen, Guillaume

AU - Szriftgiser, Pascal

AU - Naveau, Corentin

AU - Kudlinski, Alexandre

AU - Conforti, Matteo

AU - Trillo, Stefano

AU - Akhmediev, Nail

AU - Mussot, Arnaud

PY - 2020/7/1

Y1 - 2020/7/1

N2 - We report the first, to the best of our knowledge, experimental observation of doubly periodic first-order solutions of the nonlinear Schrödinger equation in optical fibers. We confirm, experimentally, the existence of A-type and B-type solutions. This is done by using the initial conditions that consist of a strong pump and two weak sidebands. The evolution of power and phase of the main spectral components is recorded using heterodyne time-domain reflectometry. Another important part of our experiment is active loss compensation. We reach a good agreement between theory and experiment.

AB - We report the first, to the best of our knowledge, experimental observation of doubly periodic first-order solutions of the nonlinear Schrödinger equation in optical fibers. We confirm, experimentally, the existence of A-type and B-type solutions. This is done by using the initial conditions that consist of a strong pump and two weak sidebands. The evolution of power and phase of the main spectral components is recorded using heterodyne time-domain reflectometry. Another important part of our experiment is active loss compensation. We reach a good agreement between theory and experiment.

UR - https://www.scopus.com/pages/publications/85087721418

U2 - 10.1364/OL.394604

DO - 10.1364/OL.394604

M3 - Article

SN - 0146-9592

VL - 45

SP - 3757

EP - 3760

JO - Optics Letters

JF - Optics Letters

IS - 13

ER -

Observation of doubly periodic solutions of the nonlinear Schrödinger equation in optical fibers

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