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Optical precursors with finite rise and fall time

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Abstract

We report results of both theoretical and experimental studies of optical precursorsgenerated from a square-modulated probe laser pulse having a finite rise and fall time andpropagating through a cold atomic ensemble, under the conditions of either atwo-level Lorentz absorber system or a three-level system with electromagneticallyinduced transparency (EIT). Because of the finiteness of the rise (and fall) time,the precursor signal is observed to decrease with increasing optical depth (α0L). We find that the precursor can experience little absorption even at high opticaldepth if the rise (and fall) time is sufficiently short. At an optical depth ofα0L = 42, the normalized precursor peak intensity is observed to increase from 9% to 27% when therise (and fall) time is shortened from 7 to 3 ns. Meanwhile, we reaffirm that there is noviolation of Einstein’s causality principle in light propagation through both slow and fastlight media. In the EIT system with high optical depth, the main field propagates with asubluminal group velocity and it is separated from the precursor. In the two-level system,the effect of negative group velocity in the anomalous dispersion regime is observed, but wedetect no advancement in the rising edge of the precursors. In both cases, theleading edges of the precursors show no detectable delay to that through vacuum.

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