Moving refractive index fronts in waveguides with dispersion is a special type of spatio-temporal modulation. Theinteraction of light with that front allows frequency conversion, light stopping, optical delays, and bandwidth and pulseduration manipulation. Here, we present examples of signal transmission, reflection, trapping and stopping. We willgeometrically consider indirect transitions in the dispersion relation using the phase continuity relation at the front andpresent numerical solutions of the linear Schr?dinger equation which follows from the slowly varying envelopeapproximation of the wave equation.
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