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We report the experimental demonstration of modulation instability process assisted by a dispersion grating in an optical fiber. A simple analytical model is developed to further analyze and explain the complex dynamics of this process, showing that each of the multiple spectral components grows thanks to a quasi phase-matching mechanism inherent to the periodicity of the waveguide parameters. This model is confirmed by numerical simulations and it is successfully used to tailor the multi-peak modulation instability spectrum shape. These theoretical predictions are confirmed by experiments.

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