Modulational instability in periodic quadratic nonlinear materials

Details Modulational instability in periodic quadratic nonlinear materials Modulational instability in periodic quadratic nonlinear materials

2001-03-20

arxiv.org/abs/nlin/0103028v2

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 7 figures corrected minor misprints

Scientific paper

10.1103/PhysRevLett.87.133901

We investigate the modulational instability of plane waves in quadratic nonlinear materials with linear and nonlinear quasi-phase-matching gratings. Exact Floquet calculations, confirmed by numerical simulations, show that the periodicity can drastically alter the gain spectrum but never completely removes the instability. The low-frequency part of the gain spectrum is accurately predicted by an averaged theory and disappears for certain gratings. The high-frequency part is related to the inherent gain of the homogeneous non-phase-matched material and is a consistent spectral feature.

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