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Modulation instability, Cherenkov radiation, and Fermi–Pasta–Ulam recurrence

Soto-Crespo, Jose M.; Ankiewicz, Adrian; Devine, Natasha; Akhmediev, Nail

Description

We study, numerically, the influence of third-order dispersion (TOD) on modulation instability (MI) in optical fibers described by the extended nonlinear Schrödinger equation. We consider two MI scenarios. One starts with a continuous wave (CW) with a small amount of white noise, while the second one starts with a CW with a small harmonic perturbation at the highest value of the growth rate. In each case, the MI spectra show an additional spectral feature that is caused by Cherenkov radiation....[Show more]

dc.contributor.authorSoto-Crespo, Jose M.
dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorDevine, Natasha
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2015-09-16T04:58:22Z
dc.date.available2015-09-16T04:58:22Z
dc.identifier.issn0740-3224
dc.identifier.urihttp://hdl.handle.net/1885/15436
dc.description.abstractWe study, numerically, the influence of third-order dispersion (TOD) on modulation instability (MI) in optical fibers described by the extended nonlinear Schrödinger equation. We consider two MI scenarios. One starts with a continuous wave (CW) with a small amount of white noise, while the second one starts with a CW with a small harmonic perturbation at the highest value of the growth rate. In each case, the MI spectra show an additional spectral feature that is caused by Cherenkov radiation. We give an analytic expression for its frequency. Taking a single frequency of modulation instead of a noisy CW leads to the Fermi–Pasta–Ulam (FPU) recurrence dynamics. In this case, the radiation spectral feature multiplies due to the four-wave mixing process. FPU recurrence dynamics is quite pronounced at small values of TOD, disappears at intermediate values, and is restored again at high TOD when the Cherenkov frequency enters the MI band. Our results may lead to a better understanding of the role of TOD in optical fibers.
dc.description.sponsorshipThe work of J.M.S.C. is supported by the Ministerio de Economia y Competitividad under contract FIS2009-09895. The authors acknowledge the support of the Australian Research Council (Discovery Project No. DP110102068). N.A. is a recipient of the Alexander von Humboldt Award.
dc.publisherOptical Society of America
dc.rights© 2012 Optical Society of America. http://www.sherpa.ac.uk/romeo/issn/0740-3224/..."author can archive post-print. On author's personal website, institutional website or e-print servers, including in arXiv" from SHERPA/RoMEO site (as at 28/10/15).
dc.rights© 2012 Optical Society of America. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.
dc.sourceJournal of the Optical Society of America B
dc.subjectKeywords: Analytic expressions; Cherenkov; Cherenkov radiations; Continuous waves; Dinger equation; Harmonic perturbations; Modulation instabilities; Single frequency; Spectral feature; Third order dispersion; Content based retrieval; Dynamics; Fiber amplifiers; No
dc.titleModulation instability, Cherenkov radiation, and Fermi–Pasta–Ulam recurrence
dc.typeJournal article
local.identifier.citationvolume29
dc.date.issued2012-07-13
local.identifier.absfor020500 - OPTICAL PHYSICS
local.identifier.ariespublicationf5625xPUB1311
local.publisher.urlhttp://www.osa.org/en-us/home/
local.type.statusAccepted Version
local.contributor.affiliationAnkiewicz, A., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University
local.contributor.affiliationDevine, N., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University
local.contributor.affiliationAkhmediev, N., Optical Sciences Group, Research School of Physics and Engineering, The Australian National University
dc.relationhttp://purl.org/au-research/grants/arc/DP110102068
local.bibliographicCitation.issue8
local.bibliographicCitation.startpage1930
local.bibliographicCitation.lastpage1936
local.identifier.doi10.1364/JOSAB.29.001930
dc.date.updated2016-02-24T08:44:29Z
local.identifier.scopusID2-s2.0-84865794810
local.identifier.thomsonID000300677800006
CollectionsANU Research Publications

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