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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.17.001583


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Abstract

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

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

Citation
Haroldo T. Hattori, Vitor M. Schneider, and Osni Lisboa, "Cantor set fiber Bragg grating," J. Opt. Soc. Am. A 17, 1583-1589 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-9-1583

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