OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 43, Iss. 15 — May. 20, 2004
  • pp: 3005–3009

Temporal transformation of periodic incoherent ultrashort light pulses by chirped fiber gratings

Dobryna Zalvidea, Ricardo Duchowicz, and Enrique E. Sicre  »View Author Affiliations

Applied Optics, Vol. 43, Issue 15, pp. 3005-3009 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (158 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The analogy between free-space propagation of optical beams and light-pulse reflection from linearly chirped fiber gratings is used to analyze the Lau effect in the temporal domain. The coherence conditions that are satisfied in the spatial domain for obtaining, at certain fixed locations, periodic fringes patterns are reformulated for guided light propagation. In this analogy, spatial periodic irradiance distributions are transformed in periodic sequences of light pulses. An optical setup is proposed to produce sharp pulse trains, with minimal distortion effects, that have repetition frequencies that are different from those associated with the input periodic optical signal. Some numerical results are given to illustrate this approach.

© 2004 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2340) Fiber optics and optical communications : Fiber optics components
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(260.2030) Physical optics : Dispersion

Original Manuscript: September 17, 2003
Revised Manuscript: February 17, 2004
Published: May 20, 2004

Dobryna Zalvidea, Ricardo Duchowicz, and Enrique E. Sicre, "Temporal transformation of periodic incoherent ultrashort light pulses by chirped fiber gratings," Appl. Opt. 43, 3005-3009 (2004)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Kempe, U. Stamm, B. Wilhelmi, “Spatial and temporal transformation of femtosecond laser pulses by lenses with annular aperture,” Opt. Commun. 89, 119–125 (1992). [CrossRef]
  2. Z. Bor, Z. L. Horváth, “Distortion of femtosecond pulses in lenses. Wave optical description,” Opt. Commun. 94, 249–258 (1992). [CrossRef]
  3. M. Kempe, W. Rudolph, “Femtosecond pulses in the focal region of lenses,” Phys. Rev. A 48, 4721–4729 (1993). [CrossRef] [PubMed]
  4. J. Paye, A. Migus, “Space-time Wigner functions and their application to the analysis of a pulse shaper,” J. Opt. Soc. Am. B 12, 1480–1490 (1995). [CrossRef]
  5. R. Piestun, D. A. B. Miller, “Spatiotemporal control of ultrashort optical pulses by refractive-diffractive-dispersive structured optical elements,” Opt. Lett. 26, 1373–1375 (2001). [CrossRef]
  6. D. Zalvidea, “Phase mask for spatial and temporal control of ultrashort light pulses focused by lenses,” J. Opt. Soc. Am. A 20, 1981–1986 (2003). [CrossRef]
  7. G. P. Agrawal, Fiber-Optic Communication Systems, 2nd ed. (Wiley, New York, 1997).
  8. F. Ouellette, “Dispersion cancellation using linearly chirped Bragg grating filters in optical waveguides,” Opt. Lett. 12, 847–849 (1987). [CrossRef] [PubMed]
  9. A. Papoulis, “Pulse compression, fiber communications, and diffraction: a unified approach,” J. Opt. Soc. Am. A 11, 3–13 (1994). [CrossRef]
  10. B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30, 1951–1963 (1994). [CrossRef]
  11. Lord Rayleigh, “On copying diffraction gratings, and on some phenomena connected therewith,” Philos. Mag. 11, 196–205 (1881).
  12. J. T. Winthrop, C. R. Worthington, “Theory of Fresnel images. I. Plane periodic objects in monochromatic light,” J. Opt. Soc. Am. A 55, 373–381 (1965). [CrossRef]
  13. J. Azaña, M. A. Muriel, “Temporal Talbot effect in fiber gratings and its applications,” Appl. Opt. 38, 6700–6704 (1999). [CrossRef]
  14. J. Azaña, M. A. Muriel, “Temporal self-imaging effects: theory and applications for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron. 7, 728–744 (2001). [CrossRef]
  15. J. Azaña, M. A. Muriel, “Technique for multiplying the repetition rates at periodic trains of pulses by means of a temporal self-imaging effect in chirped fiber gratings,” Opt. Lett. 24, 1672–1674 (1999). [CrossRef]
  16. E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. (Leipzig) 6, 417–423 (1948).
  17. G. J. Swanson, E. N. Leith, “Lau effect and grating imaging,” J. Opt. Soc. Am. 72, 552–555 (1982). [CrossRef]
  18. J. Ojeda-Castañeda, P. Andrés, J. Ibarra, “Lensless theta decoder with high light throughput,” Opt. Commun. 67, 256–260 (1988). [CrossRef]

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.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited