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

Full Article  |  PDF Article
OSA Recommended Articles
Position weighting of fiber Bragg gratings for bandpass filtering

Helge Storøy, Helge E. Engan, Bengt Sahlgren, and Raoul Stubbe
Opt. Lett. 22(11) 784-786 (1997)

Optical fiber Bragg gratings. Part II. Modeling of finite-length gratings and grating arrays

Vittorio M. N. Passaro, Roberto Diana, and Mario N. Armenise
J. Opt. Soc. Am. A 19(9) 1855-1866 (2002)

Differential birefringence in Bragg gratings in multicore fiber under transverse stress

Manuel Silva-Lopez, Cheng Li, William N. MacPherson, Andrew J. Moore, James S. Barton, Julian D. C. Jones, Donghui Zhao, Lin Zhang, and Ian Bennion
Opt. Lett. 29(19) 2225-2227 (2004)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (18)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription