The Continuous Spectrum of Periodically Stationary Pulses in a Stretched Pulse Laser

dc.contributor.authorShinglot, Vrushaly
dc.contributor.authorZweck, John
dc.contributor.authorMenyuk, Curtis
dc.date.accessioned2022-03-24T19:24:23Z
dc.date.available2022-03-24T19:24:23Z
dc.date.issued2022
dc.description.abstractA spectral method for determining the stability of periodically stationary pulses in fiber lasers is introduced. Pulse stability is characterized in terms of the spectrum (eigenvalues) of the monodromy operator, which is the linearization of the round trip operator about a periodically stationary pulse. A formula for the continuous (essential) spectrum of the monodromy operator is presented, which quantifies the growth and decay of continuous waves far from the pulse. The formula is verified by comparison with a fully numeric method for an experimental fiber laser. Finally, the effect of a saturable absorber on pulse stability is demonstrated.en
dc.description.sponsorshipJZ acknowledges support from the NSF under DMS-2106203. CRM acknowledges support from the NSF under ECCS-1807272en
dc.description.urihttps://opg.optica.org/ol/upcoming_pdf.cfm?id=448477en
dc.format.extent12 pagesen
dc.genrejournal articlesen
dc.genrepreprintsen
dc.identifierdoi:10.13016/m2bgsu-npef
dc.identifier.citationShinglot, Vrushaly, John Zweck, and Curtis Menyuk. The Continuous Spectrum of Periodically Stationary Pulses in a Stretched Pulse Laser. Optics Letters. Jan. 31, 2022. https://opg.optica.org/ol/upcoming_pdf.cfm?id=448477.en
dc.identifier.urihttps://doi.org/10.1364/OL.448477
dc.identifier.urihttp://hdl.handle.net/11603/24429
dc.language.isoenen
dc.publisherOpticaen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rights© 2022 Optical Society of America. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved–the terms of their open access agreement apply to all OSA formatted accepted versions of journal articles.en
dc.titleThe Continuous Spectrum of Periodically Stationary Pulses in a Stretched Pulse Laseren
dc.typeTexten
dcterms.creatorhttps://orcid.org/0000-0003-0269-8433en

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