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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 6 — Mar. 15, 2009
  • pp: 833–835

In-fiber all-optical fractional differentiator

C. Cuadrado-Laborde and M. V. Andrés  »View Author Affiliations


Optics Letters, Vol. 34, Issue 6, pp. 833-835 (2009)
http://dx.doi.org/10.1364/OL.34.000833


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Abstract

We demonstrate that an asymmetrical π phase-shifted fiber Bragg grating operated in reflection can provide the required spectral response for implementing an all-optical fractional differentiator. There are different (but equivalent) ways to design it, e.g., by using different gratings lengths and keeping the same index modulation depth at both sides of the π phase shift, or vice versa. Analytical expressions were found relating the fractional differentiator order with the grating parameters. The device shows a good accuracy calculating the fractional time derivatives of the complex field of an arbitrary input optical waveform. The introduced concept is supported by numerical simulations.

© 2009 Optical Society of America

OCIS Codes
(200.4740) Optics in computing : Optical processing
(230.1150) Optical devices : All-optical devices
(320.5540) Ultrafast optics : Pulse shaping
(060.3735) Fiber optics and optical communications : Fiber Bragg gratings

ToC Category:
Optical Devices

History
Original Manuscript: December 11, 2008
Revised Manuscript: January 26, 2009
Manuscript Accepted: February 8, 2009
Published: March 12, 2009

Citation
C. Cuadrado-Laborde and M. V. Andrés, "In-fiber all-optical fractional differentiator," Opt. Lett. 34, 833-835 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-6-833

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