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arXiv · 1611.08950

A geometrical view of scalar modulation instability

S. M. Hernandez·P. I. Fierens·J. Bonetti·A. D. Sánchez·D. F. Grosz
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Abstract

We present a novel approach to the analysis of a full model of scalar modulation instability (MI) by means of a simple geometrical description in the power vs. frequency plane. This formulation allows to relate the shape of the MI gain to any arbitrary dispersion profile of the medium. As a result, we derive a straightforward explanation of the non-trivial dependence of the cutoff power on high-order dispersion and obtain explicitly the power that maximizes the gain. Our approach puts forth a powerful tool to synthesize a desired MI gain with the potential application to a vast number of parametric-amplification and supercontinuum-generation devices whose functioning relies upon modulation instability.

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S. M. Hernandez, P. I. Fierens, J. Bonetti, A. D. Sánchez, D. F. Grosz. 2016-11-28. A geometrical view of scalar modulation instability. https://arxiv.org/abs/1611.08950

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