Far-off-resonant wave interaction in one-dimensional photonic crystals with quadratic nonlinearity

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dc.creatorHagmann, Johannes-Geert
dc.creatorTkeshelashvili, Lasha
dc.creatorBusch, Kurt
dc.creatorSchneider, Guido
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:18:57Z
dc.date.available2026-07-07T09:18:57Z
dc.descriptionWe extend a recently developed Hamiltonian formalism for nonlinear wave interaction processes in spatially periodic dielectric structures to the far-off-resonant regime, and investigate numerically the three-wave resonance conditions in a one-dimensional optical medium with $χ^{(2)}$ nonlinearity. In particular, we demonstrate that the cascading of nonresonant wave interaction processes generates an effective $χ^{(3)}$ nonlinear response in these systems. We obtain the corresponding coupling coefficients through appropriate normal form transformations that formally lead to the Zakharov equation for spatially periodic optical media.
dc.description14 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0802.0561
dc.identifierhttp://arxiv.org/abs/0802.0561
dc.identifierPhysical Review A: Atomic, Molecular and Optical Physics 77 (2008) 023809
dc.identifierdoi:10.1103/PhysRevA.77.023809
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154214
dc.subjectOptics
dc.titleFar-off-resonant wave interaction in one-dimensional photonic crystals with quadratic nonlinearity
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