A geometrical view of scalar modulation instability
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.
Cite
@article{arxiv.1611.08950,
title = {A geometrical view of scalar modulation instability},
author = {S. M. Hernandez and P. I. Fierens and J. Bonetti and A. D. Sánchez and D. F. Grosz},
journal= {arXiv preprint arXiv:1611.08950},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1605.01761