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A method is shown for preventing temporal broadening of ultrafast opticalpulses in highly dispersive and fluctuating media for arbitrary signal-pulseprofiles. Pulse pairs, consisting of a strong-field control-pulse and aweak-field signal-pulse co-propagate, whereby the specific profile of thestrong-field pulse precisely compensates for dispersive phase in the weakpulse. A numerical example is presented in an optical system consisting of bothresonant and gain dispersive effects. Here we show signal-pulses that do nottemporally broaden across a vast propagation distance, even in the presence ofdispersion that fluctuates several orders of magnitude and in sign (for examplewithin a material resonance) across the pulse's bandwidth. Our approachillustrates the potential for using cross-phase modulation to compensate fordispersive effects on a signal-pulse and fills the gap in the currentunderstanding of this nonlinear phenomenon.

Maintaining Constant Pulse-duration in Highly Dispersive Media using Nonlinear Potentials