OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 2 — Jan. 22, 2007
  • pp: 371–381

Temporal differentiation of optical signals using a phase-shifted fiber Bragg grating

Naum K. Berger, Boris Levit, Baruch Fischer, Mykola Kulishov, David V. Plant, and José Azaña  »View Author Affiliations

Optics Express, Vol. 15, Issue 2, pp. 371-381 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (183 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose and experimentally demonstrate an all-optical (all-fiber) temporal differentiator based on a simple π-phase-shifted fiber Bragg grating operated in reflection. The proposed device can calculate the first time derivative of the complex field of an arbitrary narrowband optical waveform with a very high accuracy and efficiency. Specifically, the experimental fiber grating differentiator reported here offers an operation bandwidth of ≈ 12 GHz. We demonstrate the high performance of this device by processing gigahertz-bandwidth phase and intensity optical temporal variations.

© 2007 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(200.3050) Optics in computing : Information processing
(230.1150) Optical devices : All-optical devices
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: October 12, 2006
Revised Manuscript: December 6, 2006
Manuscript Accepted: December 12, 2006
Published: January 22, 2007

Naum K. Berger, Boris Levit, Baruch Fischer, Mykola Kulishov, David V. Plant, and José Azaña, "Temporal differentiation of optical signals using a phase-shifted fiber Bragg grating," Opt. Express 15, 371-381 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Azaña, C. K. Madsen, K. Takiguchi, and G. Cincontti, eds., "Optical Signal Processing," J. Ligthwave Technol. 24, 2484-2767 (2006). [CrossRef]
  2. N. Q. Ngo, S. F. Yu, S. C. Tjin, and C.H. Kam, "A new theoretical basis of higher-derivative optical differentiators," Opt. Commun. 230, 115-129 (2004). [CrossRef]
  3. M. Kulishov, and J. Azaña, "Long-period fiber gratings as ultrafast optical differentiators," Opt. Lett. 30, 2700-2702 (2005). [CrossRef] [PubMed]
  4. R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators," Opt. Express 14, 10699-10707 (2006). [CrossRef] [PubMed]
  5. R. Kashyap, Fiber Bragg Gratings, (Academic Press, San Diego, 1999).
  6. A. Othonos and K. KalliFiber Bragg Gratings. Fundamentals and Applications in Telecommunications and Sensing, (Artech House, Boston, 1999).
  7. H. J. A. Da Silva, and J. J. O’Reilly, "Optical pulse modeling with Hermite - Gaussian functions," Opt. Lett. 14, 526-528 (1989). [CrossRef] [PubMed]
  8. A. Papoulis, The Fourier Integral and its Applications, (McGraw-Hill, New York 1987).
  9. M. Yamada, and K. Sakuda, "Analysis of almost-periodic distributed feedback slab waveguides via a fundamental transfer matrix approach," Appl. Opt. 26, 3474-3478 (1987). [CrossRef] [PubMed]
  10. J. E. Bjorkholm, E. H. Turner, and D. B. Pearson, "Conversion of cw light into a train of subnanosecond pulses using frequency modulation and the dispersion of a near-resonant atomic vapor," Appl. Phys. Lett. 26, 564-566 (1975). [CrossRef]
  11. N. K. Berger, B. Levit, and B. Fischer, "Complete characterization of optical pulses using a chirped fiber Bragg grating," Opt. Commun. 251, 315-321 (2005). [CrossRef]
  12. M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am. 72,156-160 (1982). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited