Influence of the pump shape on the modulation instability process induced in a dispersion-oscillating fiber

We show that taking into account the temporal intensity profile of a pulsed pump beam may lead to significant deviations from the predictions based on continuous wave analysis of the modulation instability process occurring in a dispersion-oscillating fiber operating under the conditions that lead to gain sideband splitting. Potential application to a pulse doubling scheme with tunable delay is discussed.