Spatial vector solitons in nonlinear photonic crystal fibers

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dc.creatorSalgueiro, Jose R.
dc.creatorKivshar, Yuri S.
dc.creatorPelinovsky, Dmitry E.
dc.creatorSimon, Veronica
dc.creatorMichinel, Humberto
dc.date2005-01-17
dc.date2005-03-03
dc.date.accessioned2026-07-07T05:36:14Z
dc.date.available2026-07-07T05:36:14Z
dc.descriptionWe study spatial vector solitons in a photonic crystal fiber (PCF) made of a material with the focusing Kerr nonlinearity. We show that such two-component localized nonlinear waves consist of two mutually trapped components confined by the PCF linear and the self-induced nonlinear refractive indices, and they bifurcate from the corresponding scalar solitons. We demonstrate that, in a sharp contrast with an entirely homogeneous nonlinear Kerr medium where both scalar and vector spatial solitons are unstable and may collapse, the periodic structure of PCF can stabilize the otherwise unstable two-dimensional spatial optical solitons. We apply the matrix criterion for stability of these two-parameter solitons, and verify it by direct numerical simulations.
dc.descriptionNew version after revision: two references added, few typos corrected and some minor corrections introduced. 9 pages, 4 figures, submitted to SIAM Studies in Applied Mathematics
dc.identifierhttps://arxiv.org/abs/nlin/0501033
dc.identifierhttp://arxiv.org/abs/nlin/0501033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80923
dc.subjectPattern Formation and Solitons
dc.titleSpatial vector solitons in nonlinear photonic crystal fibers
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