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Modulational instability in periodic quadratic nonlinear materials

J. F. Corney·Ole Bang
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Abstract

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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J. F. Corney, Ole Bang. 2001-05-17. Modulational instability in periodic quadratic nonlinear materials. https://doi.org/10.1103/physrevlett.87.133901

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