Ambiguity function analysis of pulse train propagation: Applications to temporal Lau filtering

University of Valencia, Valenza, Valencia, Spain
Journal of the Optical Society of America A (Impact Factor: 1.56). 09/2007; 24(8):2268-73. DOI: 10.1364/JOSAA.24.002268
Source: PubMed


We use the periodic-signal ambiguity function for visualizing the intensity-spectrum evolution through propagation in a first-order dispersive medium. We show that the degree of temporal coherence of the optical source plays the role of a low-pass filter on the signal's ambiguity function. Based on this, we present a condition on the temporal Lau effect for filtering harmonics at fractions of the Talbot length. This result allows one to increase the repetition rate of a pulse train obtained from a sinusoidally phase-modulated CW signal.

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Available from: Jorge Ojeda-Castaneda, Apr 16, 2015
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    ABSTRACT: We use the ambiguity function, of the slowly varying complex-amplitude envelope, for visualizing the intensity-spectrum evolution through propagation in a first-order dispersive medium. We comment on the use of this formalism for temporal filtering.
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