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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 12 — Apr. 20, 2000
  • pp: 1920–1923

Understanding Profile-Induced Group-Delay Ripple in Bragg Gratings

Leon Poladian  »View Author Affiliations


Applied Optics, Vol. 39, Issue 12, pp. 1920-1923 (2000)
http://dx.doi.org/10.1364/AO.39.001920


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Abstract

The relationship between group-delay ripple and the apodization profile of chirped Bragg gratings is analyzed. Simple physical explanations are given for departures from ideal linear group delay by use of only the concepts of reflection at discontinuities and band gaps and the optical path lengths of cavities. Quantitative expressions are obtained for the amplitudes, phases, and periods of both the fast and slow components of the ripple.

© 2000 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1950) Diffraction and gratings : Diffraction gratings

Citation
Leon Poladian, "Understanding Profile-Induced Group-Delay Ripple in Bragg Gratings," Appl. Opt. 39, 1920-1923 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-12-1920


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References

  1. N. M. Litchinitser and D. B. Patterson, “Analysis of fiber Bragg gratings for dispersion compensation in reflective and transmissive geometries,” J. Lightwave Technol. 15, 1323–1328 (1997).
  2. S. Thibault, J. Lauzon, J.-F. Cliche, J. Martin, M. A. Duguay, and M. Tetu, “Numerical analysis of the optimal-length and profile of a linearly chirped fiber Bragg grating for dispersion compensation,” Opt. Lett. 20, 647–649 (1995).
  3. M. Ibsen and R. I. Laming, “Fibre non-uniformity caused Bragg grating imperfections,” in Optical Fiber Communication Conference and the International Conference on Integrated Optics and Optical Fiber Communication, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), paper FA1–1, pp. 2–4.
  4. L. Poladian, “Graphical and WKB analysis of nonuniform Bragg gratings,” Phys. Rev. E 48, 4758–4767 (1993).
  5. A. Arraf, L. Poladian, C. M. de Sterke, and T. G. Brown, “Effective-medium approach for counterpropagating waves in nonuniform Bragg gratings,” J. Opt. Soc. Am. A 14, 1137–1143 (1997).

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