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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2268–2273

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

Jorge Ojeda-Castañeda, Jesús Lancis, Cristina M. Gómez-Sarabia, Víctor Torres-Company, and Pedro Andrés  »View Author Affiliations


JOSA A, Vol. 24, Issue 8, pp. 2268-2273 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002268


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Abstract

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.

© 2007 Optical Society of America

OCIS Codes
(320.5390) Ultrafast optics : Picosecond phenomena

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: November 21, 2006
Revised Manuscript: February 9, 2007
Manuscript Accepted: March 13, 2007
Published: July 11, 2007

Citation
Jorge Ojeda-Castañeda, Jesús Lancis, Cristina M. Gómez-Sarabia, Víctor Torres-Company, and Pedro Andrés, "Ambiguity function analysis of pulse train propagation: applications to temporal Lau filtering," J. Opt. Soc. Am. A 24, 2268-2273 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-8-2268

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