OSA's Digital Library

Applied Optics

Applied 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (689 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited