Modulational instability in dispersion-kicked optical fibers

Abstract

We study, both theoretically and experimentally, modulational instability in optical fibers that have a longitudinal evolution of their dispersion in the form of a Dirac delta comb. By means of Floquet theory, we obtain an exact expression for the position of the gain bands, and we provide simple analytical estimates of the gain and of the bandwidths of those sidebands. An experimental validation of those results has been realized in several microstructured fibers specifically manufactured for that purpose. The dispersion landscape of those fibers is a comb of Gaussian pulses having widths much shorter than the period, which therefore approximate the ideal Dirac comb. Experimental spontaneous MI spectra recorded under quasi continuous wave excitation are in good agreement with the theory and with numerical simulations based on the generalized nonlinear Schrödinger equation.

References in corpus (3)

• Tunable Modulational Instability Sidebands via Parametric Resonance in Periodically Tapered Optical Fibers
• Dynamics of the modulation instability spectrum in optical fibers with oscillating dispersion
• Modulational instability in dispersion oscillating fiber ring cavities

Cited by in corpus (6)

• Competing Turing and Faraday instabilities in longitudinally modulated passive resonators
• Geometric parametric instability in periodically modulated GRIN multimode fibers
• Heteroclinic structure of parametric resonance in the nonlinear Schrödinger equation
• Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schr{ö}dinger equations
• Quasi-phase-matching ${\chi }^{(3)}-$parametric interactions in sinusoidally-tapered waveguides
• Modulational instability in optical fibers with randomly-kicked normal dispersion