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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 22 — Aug. 1, 2007
  • pp: 5062–5067

Temporal filtering for Montgomery self-imaging under dispersive transmission

Christian Cuadrado-Laborde, Pablo A. Costanzo-Caso, Ricardo Duchowicz, and Enrique E. Sicre  »View Author Affiliations


Applied Optics, Vol. 46, Issue 22, pp. 5062-5067 (2007)
http://dx.doi.org/10.1364/AO.46.005062


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Abstract

We present what we believe is a new method to introduce self-imaging properties under dispersive transmission of single or multiple light pulses with different temporal characteristics. By properly performing a temporal filtering into a given input signal it can produce an output signal having a spectral content satisfying the Montgomery condition, thereby allowing self-imaging of this signal under further dispersive transmission. An array of fiber loops performs the filtering operation on the input signal. We show some numerical simulations with a single light pulse as an input signal to verify the feasibility of the method and demonstrate the effects of the several involved parameters on both the pulse shape and the noise level.

© 2007 Optical Society of America

OCIS Codes
(050.2230) Diffraction and gratings : Fabry-Perot
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: February 5, 2007
Revised Manuscript: March 24, 2007
Manuscript Accepted: April 27, 2007
Published: July 9, 2007

Citation
Christian Cuadrado-Laborde, Pablo A. Costanzo-Caso, Ricardo Duchowicz, and Enrique E. Sicre, "Temporal filtering for Montgomery self-imaging under dispersive transmission," Appl. Opt. 46, 5062-5067 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-22-5062


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References

  1. B. H. Kolner, "Spacer-time duality and the theory of temporal imaging," IEEE J. Quantum Electron. 30, 1951-1963 (1994). [CrossRef]
  2. A. Papoulis, "Pulse compression, fiber communications, and diffraction: a unified approach," J. Opt. Soc. Am. A 11, 3-13 (1994). [CrossRef]
  3. P. Naulleau and E. Leith, "Stretch, time lenses, and incoherent time imaging," Appl. Opt. 34, 4119-4128 (1995). [CrossRef] [PubMed]
  4. J. van Howe and C. Xu, "Ultrafast optical signal processing based upon space-time dualities," J. Lightwave Technol. 24, 2649-2662 (2006). [CrossRef]
  5. T. Jannson and J. Jannson, "Temporal self-imaging effect in single-mode fibers," J. Opt. Soc. Am. 71, 1373-1376 (1981).
  6. P. A. Belanger, "Periodic restoration of pulse trains in a linear dispersive medium," IEEE Photon. Technol. Lett. 1, 71-72 (1989). [CrossRef]
  7. J. Azaña and M. A. Muriel, "Temporal Talbot effect in fiber gratings and its applications," Appl. Opt. 38, 6700-6704 (1999). [CrossRef]
  8. J. Azaña, "Temporal self-imaging effects for periodic optical pulse sequences of finite duration," J. Opt. Soc. Am. B 20, 83-90 (2003). [CrossRef]
  9. J. Azaña and L. R. Chen, "General temporal self-imaging phenomena," J. Opt. Soc. Am. B 20, 1447-1458 (2003). [CrossRef]
  10. C. Cuadrado-Laborde, P. A. Costanzo-Caso, R. Duchowicz, and E. E. Sicre, "Temporal Talbot effect applied to determine dispersion parameters," Opt. Commun. 260, 528-534 (2006). [CrossRef]
  11. L. Chantada, C. R. Fernández-Pousa, and C. Gómez-Reino, "Spectral analysis of the temporal self-imaging phenomenon in fiber dispersive lines," J. Lightwave Technol. 24, 2015-2025 (2006). [CrossRef]
  12. J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003). [CrossRef]
  13. J. Jahns and A. W. Lohmann, "Temporal filtering by double diffraction," Appl. Opt. 43, 4339-4344 (2004). [CrossRef] [PubMed]
  14. G. Mínguez-Vega and J. Jahns, "Temporal processing with the Montgomery interferometer," Opt. Commun. 236, 45-52 (2004). [CrossRef]
  15. W. D. Montgomery, "Self-imaging objects of infinite apertures," J. Opt. Soc. Am. 57, 772-778 (1967). [CrossRef]
  16. G. Indebetouw, "Self-imaging through a Fabry-Perot interferometer," J. Mod. Opt. 30, 1463-1471 (1983). [CrossRef]
  17. G. Indebetouw, "Polychromatic self-imaging," J. Mod. Opt. 35, 243-252 (1988). [CrossRef]
  18. G. Indebetouw, "Necessary condition for temporal self-imaging in a linear dispersive medium," J. Mod. Opt. 37, 1439-1451 (1990). [CrossRef]
  19. G. Agrawal, Applications of Nonlinear Fiber Optics (Academic Press, 2001).

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