Modulation instability with high-order dispersion: fundamental limitations of pattern formation

We theoretically and numerically investigate modulation instability in the presence of even, high-order dispersion, focusing on general trends rather than on specific results for a particular dispersion order. We show that high-order dispersion leads to increasingly poor phase matching between the t...

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Bibliographic Details
Published in:Optics express Vol. 32; no. 6; pp. 8603 - 8613
Main Authors: Runge, Antoine F J, Qiang, Y Long, Pasarelli, Nicolás, de Sterke, C Martijn
Format: Journal Article
Language:English
Published: United States 11-03-2024
Online Access:Get full text
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Summary:We theoretically and numerically investigate modulation instability in the presence of even, high-order dispersion, focusing on general trends rather than on specific results for a particular dispersion order. We show that high-order dispersion leads to increasingly poor phase matching between the three central waves (i.e. the pump and the ±1 sidebands) and the higher sideband orders, inhibiting in effect four-wave mixing frequency generation. For sufficiently large dispersion orders, the problem in effect can reduce to a three-wave system. Our predictions are in excellent agreement with numerical simulations and show that high-order dispersion imposes a fundamental limit on modulation instability dynamics.
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ISSN:1094-4087
1094-4087
DOI:10.1364/OE.513666