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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 9 — Sep. 1, 2000
  • pp: 1583–1589

Cantor set fiber Bragg grating

Haroldo T. Hattori, Vitor M. Schneider, and Osni Lisboa  »View Author Affiliations

JOSA A, Vol. 17, Issue 9, pp. 1583-1589 (2000)

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The theory of fractals has already been applied to many fields in science, such as physics, biology, and chemistry. One of the most commonly used fractals in these applications is the Cantor set. Novel fiber Bragg gratings are proposed that combine the present technology of fiber Bragg gratings with the theory of Cantor sets. The principal goal of this work is to analyze how Cantor sets, applied to gratings, can alter their reflectivity spectra. Specifically, it is observed that, as the order of the Cantor set increases, the bandpass reflectivity spectra of these gratings broaden and evolve into more-complex patterns. Also, self-similarity properties can be observed in the spectra of these gratings. Numerical examples demonstrate variations in the spectra of these structures as the fractal order increases.

© 2000 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.2340) Fiber optics and optical communications : Fiber optics components
(230.1480) Optical devices : Bragg reflectors

Original Manuscript: September 24, 1999
Revised Manuscript: April 5, 2000
Manuscript Accepted: April 5, 2000
Published: September 1, 2000

Haroldo T. Hattori, Vitor M. Schneider, and Osni Lisboa, "Cantor set fiber Bragg grating," J. Opt. Soc. Am. A 17, 1583-1589 (2000)

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  1. S. Legoubin, M. Douay, P. Bernage, P. Niay, S. Boj, E. Delevaque, “Free spectral range variations of grating-based Fabry–Perot photowritten in optical fibers,” J. Opt. Soc. Am. A 12, 1687–1694 (1995). [CrossRef]
  2. H. A. Haus, Y. Lai, “Theory of cascaded quarter wave shifted distributed feedback resonators,” IEEE J. Quantum Electron. 28, 205–213 (1992). [CrossRef]
  3. R. Zengerle, O. Leminger, “Phase-shifted Bragg-gratingfilters with improved transmission characteristics,” J. Lightwave Technol. 13, 2354–2358 (1995). [CrossRef]
  4. R. Kashyap, Fiber Bragg Gratings (Academic, San Diego, Calif., 1999).
  5. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications (Wiley, Chichester, UK, 1990).
  6. M. Barnsley, Fractals Everywhere (Academic, Boston, Mass., 1988).
  7. G. Musser, “Practical fractals,” Sci. Am., July1999, p. 23.
  8. A. Yariv, P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, New York, 1984).
  9. M. Yamada, K. Sakuda, “Analysis of almost-periodic distributed feedback slab waveguide via a fundamental matrix approach,” Appl. Opt. 26, 3474–3478 (1987). [CrossRef] [PubMed]
  10. A. Othonos, K. Kalli, Fiber Bragg Gratings: Fundamentals and Applications in Telecommunications and Sensing (Artech House, Norwood, Mass., 1999).

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