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Fractional discrete vortex solitons

dc.contributor.authorMejía-Cortés, Cristian
dc.contributor.otherI. Molina, Mario
dc.date.accessioned2022-12-19T02:41:11Z
dc.date.available2022-12-19T02:41:11Z
dc.date.issued2021-02-09
dc.date.submitted2020-12-14
dc.identifier.citationMejía-Cortés, C., & Molina, M.I. (2021). Fractional discrete vortex solitons. Optics letters, 46 10, 2256-2259 .spa
dc.identifier.urihttps://hdl.handle.net/20.500.12834/1137
dc.description.abstractWe examine the existence and stability of nonlinear discrete vortex solitons in a square lattice when the standard discrete Laplacian is replaced by a fractional version. This creates a new, effective site-energy term, and a coupling among sites, whose range depends on the value of the fractional exponent α, becoming effectively long-range at small α values. At long-distance, it can be shown that this coupling decreases faster than exponential: ∼ exp(−|n|)/ p |n|. In general, we observe that the stability domain of the discrete vortex solitons is extended to lower power levels, as the α coefficient diminishes, independently of their topological charge and/or pattern distribution.spa
dc.format.mimetypeapplication/pdfspa
dc.language.isoengspa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.sourceThe Optical Societyspa
dc.titleFractional discrete vortex solitonsspa
dc.title.alternativeFractional discrete vortex solitonsspa
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dc.audiencePúblico generalspa
dc.identifier.doi10.1364/OL.421970
dc.identifier.instnameUniversidad del Atlánticospa
dc.identifier.reponameRepositorio Universidad del Atlánticospa
dc.rights.ccAttribution-NonCommercial 4.0 International*
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dc.type.spaArtículospa
dc.publisher.placeBarranquillaspa
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessspa
dc.publisher.disciplineFísicaspa
dc.publisher.sedeSede Nortespa


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