Impact of high-order interactions on the fundamental dynamics of four-wave mixing

We extend the truncated three-wave theory used to describe degenerate four-wave mixing in optical fibers to take into account the impact of higher-order harmonic sidebands. Using second-order perturbation theory combined with adiabatic elimination, our extended theory preserves the initial framework of the three-wave description. This allows the subsequent discussion of the origin of the nonpreservation of the Fermi-Pasta-Ulam-Tsingou recurrence that is observed in optical fibers. Our analytical results are supported by numerical simulations and experimental observations.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2024-10-03
DOI
https://doi.org/10.1103/physreva.110.043503
Primary Topic
Optical Network Technologies
Type
article
Field-Weighted Citation Impact
0.00

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article

Impact of high-order interactions on the fundamental dynamics of four-wave mixing

Christophe Finot, John M. Dudley, Anastasiia Sheveleva, Pierre Colman
Physical review. A/Physical review, A
Optical Network Technologies
article

Impact of high-order interactions on the fundamental dynamics of four-wave mixing

Christophe Finot, John M. Dudley, Anastasiia Sheveleva, Pierre Colman
article en

Abstract

We extend the truncated three-wave theory used to describe degenerate four-wave mixing in optical fibers to take into account the impact of higher-order harmonic sidebands. Using second-order perturbation theory combined with adiabatic elimination, our extended theory preserves the initial framework of the three-wave description. This allows the subsequent discussion of the origin of the nonpreservation of the Fermi-Pasta-Ulam-Tsingou recurrence that is observed in optical fibers. Our analytical results are supported by numerical simulations and experimental observations.

Physical review. A/Physical review, AVol. 110(4)
Université de Bourgogne (FR), Franche-Comté Électronique Mécanique Thermique et Optique - Sciences et Technologies (FR), Laboratoire Interdisciplinaire Carnot de Bourgogne (FR), Université de Franche-Comté (FR)
Agence Nationale de la Recherche, Centre National de la Recherche Scientifique
Climate action
Openalex Percentile: Top 96%
Optical Network Technologies
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