Abstract

The exact power spectrum of the detected optical envelope of a train of random pulses after the temporal Talbot effect is computed. The input train into a Talbot device consists of a sequence of chirped Gaussian pulses whose appearance in the train is probabilistic. Dispersion provides a Talbot replica of the original train. The resulting noise spectrum shows narrow spectral windows below a broadband output noise envelope. The noise-envelope width depends on the value of the chirp, coinciding with the single-pulse spectrum only if the pulses are unchirped. The locations and width of the spectral windows depend on the values of the chirp and the temporal width of the pulses in the train. For wide pulses, high output harmonics, and low dispersive devices, these windows are cosine-squared modulated. The properties of this modulation depend only on the statistics of the appearance of the pulses.

© 2004 Optical Society of America

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