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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 2 — Jan. 19, 2009
  • pp: 461–471

First-order loss-less differentiators using long period gratings made in Er-doped fibers

David Krčmařík, Radan Slavík, Yongwoo Park, Mykola Kulishov, and José Azaña  »View Author Affiliations

Optics Express, Vol. 17, Issue 2, pp. 461-471 (2009)

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An active-fiber-based all-optical first-order temporal differentiator with power efficiency surpassing 100% is demonstrated experimentally. It is based on a long-period fiber grating (LPFG) inscribed into a piece of highly-doped Erbium-doped fiber (EDF). The performed theoretical analysis considers effects like relative position of the LPFG with respect to the input end of the EDF and influence of the input signal power. In the design, parameters like noise characteristics and level of non-linear interaction are taken into account. The advantages of such an implementation over the setup using concatenation of a passive LPFG with an amplifier lies in reducing the unwanted nonlinearities and reducing the amplified spontaneous emission (ASE).

© 2009 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2410) Fiber optics and optical communications : Fibers, erbium
(060.2430) Fiber optics and optical communications : Fibers, single-mode
(200.4740) Optics in computing : Optical processing

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: November 10, 2008
Revised Manuscript: December 22, 2008
Manuscript Accepted: December 30, 2008
Published: January 6, 2009

David Krcmarík, Radan Slavík, Yongwoo Park, Mykola Kulishov, and José Azaña, "First-order loss-less differentiators using long period gratings made in Er-doped fibers," Opt. Express 17, 461-471 (2009)

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  1. N. Q. Ngo, S. F. Yu, S. C. Tjin, and C. H. Kam, "A new theoretical basis of higher-order optical differentiators," Opt. Commun. 230, 115-129 (2004).
  2. M. A. Preciado and M. A. Muriel, "Design of an ultrafast all-optical differentiator based on a fiber Bragg grating in transmission," Opt. Lett. 33, 2458-2461 (2008).
  3. R. Slavík, Y. Park, M. Kulishov, R. Morandotti, and J. Azaña, "Ultrafast all-optical differentiators," Opt. Express 14, 10699-10707 (2006).
  4. Q. Wang, F. Zeng, S. Blais, and J. Yao, "Optical ultrawideband monocycle pulse generation based on cross-gain modulation in a semiconductor optical amplifier," Opt. Lett. 31, 3083-3085 (2006).
  5. N. K. Berger, B. Levit, B. Fischer, M. Kulishov, D. V. Plant, and J. Azaña, "All-Optical Temporal Differentiator based on a Single Phase-Shifted Fiber Bragg Grating," Opt. Express 15, 371-381 (2007).
  6. J. Xu, X. Zhang, J. Dong, D. Liu, and D. Huang, "All-optical differentiator based on cross-gain modulation in semiconductor optical amplifier," Opt. Lett. 32, 3029-3032 (2007).
  7. J. Xu, X. Zhang, J. Dong, D. Liu, and D. Huang, "High-speed all-optical differentiator based on a semiconductor optical amplifier and an optical filter," Opt. Lett. 32, 1872-1875 (2007).
  8. F. Li, Y. Park, and J. Azaña, "Complete temporal pulse characterization based on phase reconstruction using optical ultrafast differentiation (PROUD)," Opt. Lett. 32, 3364-3366 (2007).
  9. R. Slavík, Y. Park, and J. Azaña, "Tunable dispersion-tolerant picosecond flat-top waveform generation using an optical differentiator," Opt. Express 15, 6717-6726 (2007).
  10. Y. Park, J. Azaña, and R. Slavík, "Ultrafast all-optical first- and higher-order differentiators based on interferometers," Opt. Lett. 32, 710-712 (2007).
  11. R. Slavík and M. Kulishov, "Active control of long-period fiber-grating-based filters made in erbium-doped optical fibers," Opt. Lett. 32, 757-759 (2007).
  12. D. Krčmařík, R. Slavík, M. Karásek, and M. Kulishov, "Theoretical and experimental analysis of long-period fiber gratings made directly into Er-doped active fibers," to appear in J. Lightwave Technol. (2009).
  13. Q1. C. Lee, J. Kim, and S. Seo, "Quality-of-service differentiation by multilength variable-weight time-and-frequency-hopping optical orthogonal codes in optical code-division multiple-access networks," J. Opt. Net. 5, 611-624 (2006).
  14. R. Slavík, "Extremely deep long-period fiber grating made with CO2 laser," IEEE Photon. Technol. Lett. 18, 1705-1707 (2006).
  15. Q2. Ch. Jiang, W. Hu, and Q. Zeng, "Numerical Analysis of Concentration Quenching Model of Er3+-Doped Phosphate Fiber Amplifier," J. Quantum Electron. 39, 1266-1271 (2003).
  16. http://www.liekki.com/
  17. V. Grubsky and J. Feinberg, "Fabrication of Axially Symmetric Long-Period Gratings with a Carbon Dioxide Laser," IEEE Photon. Technol. Lett. 18, 2296-2298 (2006).
  18. Y. Park, F. Li, and J. Azaña, "Characterization and Optimization of Optical Pulse Differentiation Using Spectral Interferometry," IEEE Photon. Technol. Lett. 18, 1798-1800 (2006).

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