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Article: Fermi–Pasta–Ulam–Tsingou recurrence in two-core optical fibers

TitleFermi–Pasta–Ulam–Tsingou recurrence in two-core optical fibers
Authors
KeywordsFermi–Pasta–Ulam–Tsingou recurrence
Linear coupling
Single-core fibers
Two-core fibers
Issue Date1-Sep-2022
PublisherElsevier
Citation
Physica D: Nonlinear Phenomena, 2022, v. 441 How to Cite?
Abstract

The Fermi-Pasta-Ulam-Tsingou recurrence (FPUT) refers to the property of a multi-mode nonlinear system to return to the initial states after complex stages of evolution. FPUT in two-core optical fibers (TCFs) is studied by taking symmetric continuous waves as initial conditions. Analytically the dynamics is governed by linearly coupled nonlinear Schrodinger equations. A 'cascading mechanism' is investigated theoretically to elucidate the FPUT dynamics. Higher-order modes grow in 'locked step' with the fundamental one until a breather emerges, which results in a triangular spectrum, in consistency with observations in many experiments. In terms of optical physics, FPUT with in -phase perturbations is identical to that in single-core fibers (SCFs). For quadrature-phase perturbations (those with pi /2 phase shifts between the two cores), symmetry is broken and the FPUT dynamics is rich. For normal dispersion, FPUT otherwise absent in SCFs arises for TCFs. The optical fields change from a phase-shifted FPUT pattern to an 'in-phase' pattern. The number of FPUT cycles eventually saturates. For anomalous dispersion, in-phase FPUT and 'repulsion' between wave trains in the two cores are observed. Preservation of the phase difference between waves in the two cores depends on the dispersion regime. An estimate based on modulation instability provides a formula for predicting the first occurrence of FPUT. These results enhance the understanding of the physics of TCFs, and help the evaluation of the performance of long-distance communication based on multi-core fibers.


Persistent Identifierhttp://hdl.handle.net/10722/340898
ISSN
2023 Impact Factor: 2.7
2023 SCImago Journal Rankings: 1.074
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLi, JH-
dc.contributor.authorYin, HM-
dc.contributor.authorChiang, KS-
dc.contributor.authorChow, KW-
dc.date.accessioned2024-03-11T10:48:07Z-
dc.date.available2024-03-11T10:48:07Z-
dc.date.issued2022-09-01-
dc.identifier.citationPhysica D: Nonlinear Phenomena, 2022, v. 441-
dc.identifier.issn0167-2789-
dc.identifier.urihttp://hdl.handle.net/10722/340898-
dc.description.abstract<p>The Fermi-Pasta-Ulam-Tsingou recurrence (FPUT) refers to the property of a multi-mode nonlinear system to return to the initial states after complex stages of evolution. FPUT in two-core optical fibers (TCFs) is studied by taking symmetric continuous waves as initial conditions. Analytically the dynamics is governed by linearly coupled nonlinear Schrodinger equations. A 'cascading mechanism' is investigated theoretically to elucidate the FPUT dynamics. Higher-order modes grow in 'locked step' with the fundamental one until a breather emerges, which results in a triangular spectrum, in consistency with observations in many experiments. In terms of optical physics, FPUT with in -phase perturbations is identical to that in single-core fibers (SCFs). For quadrature-phase perturbations (those with pi /2 phase shifts between the two cores), symmetry is broken and the FPUT dynamics is rich. For normal dispersion, FPUT otherwise absent in SCFs arises for TCFs. The optical fields change from a phase-shifted FPUT pattern to an 'in-phase' pattern. The number of FPUT cycles eventually saturates. For anomalous dispersion, in-phase FPUT and 'repulsion' between wave trains in the two cores are observed. Preservation of the phase difference between waves in the two cores depends on the dispersion regime. An estimate based on modulation instability provides a formula for predicting the first occurrence of FPUT. These results enhance the understanding of the physics of TCFs, and help the evaluation of the performance of long-distance communication based on multi-core fibers.<br></p>-
dc.languageeng-
dc.publisherElsevier-
dc.relation.ispartofPhysica D: Nonlinear Phenomena-
dc.subjectFermi–Pasta–Ulam–Tsingou recurrence-
dc.subjectLinear coupling-
dc.subjectSingle-core fibers-
dc.subjectTwo-core fibers-
dc.titleFermi–Pasta–Ulam–Tsingou recurrence in two-core optical fibers-
dc.typeArticle-
dc.identifier.doi10.1016/j.physd.2022.133501-
dc.identifier.scopuseid_2-s2.0-85138148940-
dc.identifier.volume441-
dc.identifier.eissn1872-8022-
dc.identifier.isiWOS:000875536800006-
dc.identifier.issnl0167-2789-

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