Parametric localized modes in quadratic nonlinear photonic structures

dc.creatorSukhorukov, Andrey A.
dc.creatorKivshar, Yuri S.
dc.creatorBang, Ole
dc.creatorSoukoulis, Costas M.
dc.date2000-05-15
dc.date.accessioned2026-07-07T05:32:51Z
dc.date.available2026-07-07T05:32:51Z
dc.descriptionWe analyze two-color spatially localized modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or chi-2) nonlinear interfaces embedded into a linear layered structure --- a quasi-one-dimensional quadratic nonlinear photonic crystal. For a periodic lattice of nonlinear interfaces, we derive an effective discrete model for the amplitudes of the fundamental and second-harmonic waves at the interfaces (the so-called discrete chi-2 equations), and find, numerically and analytically, the spatially localized solutions --- discrete gap solitons. For a single nonlinear interface in a linear superlattice, we study the properties of two-color localized modes, and describe both similarities and differences with quadratic solitons in homogeneous media.
dc.description9 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/nlin/0005028
dc.identifierhttp://arxiv.org/abs/nlin/0005028
dc.identifierPhys. Rev. E 63, 016615(1-9) (2001)
dc.identifierdoi:10.1103/PhysRevE.63.016615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79802
dc.subjectPattern Formation and Solitons
dc.titleParametric localized modes in quadratic nonlinear photonic structures
dc.typetext

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