OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 12 — Jun. 11, 2007
  • pp: 7196–7201

Ultrafast all-optical Nth-order differentiator based on chirped fiber Bragg gratings

Miguel A. Preciado, Víctor García-Muñoz, and Miguel A. Muriel  »View Author Affiliations

Optics Express, Vol. 15, Issue 12, pp. 7196-7201 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (456 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this letter we present a technique for the implementation of Nth-order ultrafast temporal differentiators. This technique is based on two oppositely chirped fiber Bragg gratings in which the grating profile maps the spectral response of the Nth-order differentiator. Examples of 1st, 2nd, and 4th order differentiators are designed and numerically simulated.

© 2007 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(230.1150) Optical devices : All-optical devices
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: February 20, 2007
Revised Manuscript: May 16, 2007
Manuscript Accepted: May 23, 2007
Published: May 29, 2007

Miguel A. Preciado, Victor Garcia-Muñoz, and Miguel A. Muriel, "Ultrafast all-optical Nth-order differentiator based on chirped fiber Bragg gratings," Opt. Express 15, 7196-7201 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. 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]
  2. H. J. A. da Silva and J. J. O'Reilly, "Optical pulse modeling with Hermite - Gaussian functions," Opt. Lett. 14, 526- (1989). [CrossRef] [PubMed]
  3. R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators, " Opt. Express 14, 10699-10707 (2006). [CrossRef] [PubMed]
  4. N. K. Berger, B. Levit, B. Fischer, M. Kulishov, D. V. Plant, and J. Azaña, " Temporal differentiation of optical signals using a phase-shifted fiber Bragg grating," Opt. Express 15, 371-381 (2007). [CrossRef] [PubMed]
  5. Y. Park, R. Slavik, J. Azaña "Ultrafast all-optical first and higher-order differentiators based on interferometers" Opt. Lett. 32, 710-712 (2007). [CrossRef] [PubMed]
  6. M. A. Preciado, V. García-Muñoz, and M. A. Muriel "Grating design of oppositely chirped FBGs for pulse shaping," IEEE Photon. Technol. Lett. 10, 435-437 (2007). [CrossRef]
  7. A. G. Jepsen, A. E. Johnson, E. S. Maniloff, T. W. Mossberg, M. J. Munroe, and J. N. Sweetser, "Fibre Bragg grating based spectral encoder/decoder for lightwave CDMA," Electron. Lett. 35, 1096-1097 (1999). [CrossRef]
  8. I. Littler, M. Rochette, and B. Eggleton, "Adjustable bandwidth dispersionless bandpass FBG optical filter," Opt. Express 13, 3397-3407 (2005). [CrossRef] [PubMed]
  9. J. Azaña and M. A. Muriel, ‘‘Real-time optical spectrum analysis based on the time-space duality in chirped fiber gratings,’’IEEE J. Quantum Electron. 36, 517-527 (2000). [CrossRef]
  10. J. Azaña and L. R. Chen, "Synthesis of temporal optical waveforms by fiber Bragg gratings: a new approach based on space-to-frequency-to-time mapping, " J. Opt. Soc. Am. B 19, 2758-2769 (2002). [CrossRef]
  11. S. Longhi, M. Marano, P. Laporta, O. Svelto, "Propagation, manipulation, and control of picosecond optical pulses at 1.5 μm in fiber Bragg gratings, J. Opt. Soc. Am. B 19, 2742-2757 (2002). [CrossRef]
  12. B. Bovard, "Derivation of a matrix describing a rugate dielectric thin film," Appl. Opt. 27, 1998-2004 (1988). [CrossRef] [PubMed]
  13. J. F. BrennanIII and D. L. LaBrake, "Fabrication of chirped fiber bragg gratings of any desired bandwidth using frequency modulation," US patent 6728444 (April 2004).
  14. I. C. M. Littler, L. Fu, and B. J. Eggleton, "Effect of group delay ripple on picosecond pulse compression schemes," Appl. Opt. 44, 4702-4711 (2005). [CrossRef] [PubMed]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited