OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 10, Iss. 7 — Apr. 8, 2002
  • pp: 332–340

Theory of group delay ripple generated by chirped fiber gratings

Michael Sumetsky, Benjamin J. Eggleton, and C. Martijn de Sterke  »View Author Affiliations

Optics Express, Vol. 10, Issue 7, pp. 332-340 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (166 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The theory of the group delay ripple generated by apodized chirped fiber gratings is developed using the analogy between noisy gratings and superstructure Bragg gratings. It predicts the fundamental cutoff of the high frequency spatial noise of grating parameters in excellent agreement with the experimental data. We find simple general relationship between the high-frequency ripple in the grating period and the group delay ripple. In particular, we show that the amplitude of a single-frequency group delay ripple component changes with grating period chirp, C, as C-3/2 and is proportional to the grating index modulation, while its phase shift and period changes as C-1 .

© 2002 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(230.1480) Optical devices : Bragg reflectors

ToC Category:
Research Papers

Original Manuscript: March 4, 2002
Revised Manuscript: March 27, 2002
Published: April 8, 2002

Michael Sumetsky, Benjamin Eggleton, and C. de Sterke, "Theory of group delay ripple generated by chirped fiber gratings," Opt. Express 10, 332-340 (2002)

Sort:  Journal  |  Reset  


  1. B. J. Eggleton, A. Ahuja, P. S. Westbrook, J. A. Rogers, P. Kuo, T. N. Nielsen, and B. Mikkelsen, �Integrated tunable fiber gratings for dispersion management in high-bit rate systems,� J. Lightwave Technol. 18, 1418-1432 (2000) [CrossRef]
  2. R. Kashyap, Fiber Bragg Gratings, (Academic Press, 1999).
  3. M. Ibsen, M. K. Durkin, R. Feced, M. J. Cole, M. N. Zervas, and R.I. Laming, �Dispersion compensating fibre Bragg gratings,� in Active and Passive Optical Components for WDM Communication, Proc. SPIE 4532, 540-551 (2001). [CrossRef]
  4. F. Ouellette, �The effect of profile noise on the spectral response of fiber gratings,� in Bragg Gratings, Photosensitivity, and Poling in Glass Fibers and Waveguides: Applications and Fundamentals, (Optical Society of America Williamsburg 1997) Paper BMG13-2.
  5. R. Feced, M. N. Zervas, �Effect of random phase and amplitude errors in optical fiber gratings,� J. Lightwave Technol. 18, 90-101 (2000). [CrossRef]
  6. R. Feced, J. A. J. Fells, S. E. Kanellopoulos, P. J. Bennett, and H. F. M. Priddle, �Impact of random phase errors on the performance of fiber grating dispersion compensators,� in Optical Fiber Communication Conference, (Optical Sosiety of America, Washington, D.C., 2001) Paper WDD89.
  7. L. Poladian, �Graphical andWKB analysis of nonuniform Bragg gratings,� Phys. Rev. E 48, 4758-4767 (1993). [CrossRef]
  8. N. G. R. Broderick and C. M. de Sterke, �Theory of grating superstructures,� Phys. Rev. E 55, 3634-3646 (1997). [CrossRef]
  9. A. B. Migdal, Qualitative Methods in Quantum Theory, (W.A. Benjamin, Inc, 1977).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited