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On the effect of self-steepening in modulation instability

2016/05/05 by S. M. Hernández, Santiago M. Hernandez, P. I. Fierens +9 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Acoustics #Advanced Fiber Laser Technologies #Dispersion (optics) #FOS: Physical sciences #Instability #Limit (mathematics) #Mathematical analysis #Mathematics #Modulation (music) #Optical Network Technologies #Optics #Optics (physics.optics) #Photonic Crystal and Fiber Optics #Physics #Power (physics) #Quantum mechanics #Relevance (law) #Statistical physics #Supercontinuum #Wavelength #physics.optics

paper · pdf · doi:10.48550/arxiv.1605.01761

10 pages, 3 figures, letter

arxiv created 2016/05/05 · openalex publication_date 2016/05/05 · arxiv updated 2016/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We revisit the problem of modulation instability (MI) in optical fibers, including higher-order dispersion terms, self-steepening, and Raman response. We derive expressions for the MI gain and use them to explore the role of self-steepening towards a high-power limit. We show that, contrary to common wisdom, there is a pump power level that maximizes the MI gain. Further increasing the power not only diminishes the gain, but eventually makes it disappear. We believe these findings to be of special relevance, for instance, when applied to the generation of supercontinuum in the mid and far infrared bands. Finally, numerical simulations confirming our analytical results are presented.

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