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

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

2008-02-05

arxiv.org/abs/0802.0561v1

Physical Review A: Atomic, Molecular and Optical Physics 77 (2008) 023809

Physics

Optics

14 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.023809

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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