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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2008

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

Résumé

We 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 $\chi^{(2)}$ nonlinearity. In particular, we demonstrate that the cascading of nonresonant wave interaction processes generates an effective $\chi^{(3)}$ 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.
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Dates et versions

hal-00238575 , version 1 (05-02-2008)

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Johannes-Geert Hagmann, Lasha Tkeshelashvili, Kurt Busch, Guido Schneider. Far-off-resonant wave interaction in one-dimensional photonic crystals with quadratic nonlinearity. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 77, pp.023809. ⟨10.1103/PhysRevA.77.023809⟩. ⟨hal-00238575⟩
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