OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 10075–10090

Nonlinear pulse propagation in optical fibers using second order moments

Bryan Burgoyne, Nicolas Godbout, and Suzanne Lacroix  »View Author Affiliations

Optics Express, Vol. 15, Issue 16, pp. 10075-10090 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (1602 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present simple yet efficient formulae for the propagation of the second order moments of a pulse in a nonlinear and dispersive optical fiber over many dispersion and nonlinear lengths. The propagation of the temporal and spectral widths, chirp and power of pulses are very precisely approximated and quickly calculated in both dispersion regimes as long as the pulses are not high order solitons.

© 2007 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: May 18, 2007
Revised Manuscript: July 11, 2007
Manuscript Accepted: July 12, 2007
Published: July 26, 2007

Bryan Burgoyne, Nicolas Godbout, and Suzanne Lacroix, "Nonlinear pulse propagation in optical fibers using second order moments," Opt. Express 15, 10075-10090 (2007)

Sort:  Year  |  Journal  |  Reset  


  1. V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimensional selfmodulation of waves in nonlinear media," Soviet Physics JETP 34,62-69 (1972)
  2. D. Anderson, M. Desaix, M. Karlsson, M. Lisak and M. L. Quiroga-Teixeiro, "Wave-breaking-free pulses in nonlinear-optical fibers," J. Opt. Soc. Am. B 10,1185-1190 (1993). [CrossRef]
  3. M. Potasek, G. P. Agrawal and S. C. Pinault, "Analytic and numerical study of pulse broadening in nonlinear dispersive optical fibers," J. Opt. Soc. Am. B 3,205-211 (1992). [CrossRef]
  4. D. Marcuse, "RMS Width of Pulses in Nonlinear Dispersive Fibers," J. Lightwave Technol. 10,17-21 (1992). [CrossRef]
  5. P.-A. Bélanger and N. Bélanger, "RMS characteristics of pulses in nonlinear dispersive lossy fibers," Opt. Commun. 117,56-60 (1995). [CrossRef]
  6. J. Santhanam and G. P. Agrawal, "Raman-induced spectral shifts in optical fibers: general theory based on the moment method," Opt. Commun. 222,413-420 (2003). [CrossRef]
  7. R. Martínez-Herrero, P. M. Mejías, M. Sánchez and J. L. H. Neira, "Third- and fourth-order parametric characterization of partially coherent beams propagating through ABCD optical systems," Opt. and Quantum Electron. 24,S1021-S1026 (1992). [CrossRef]
  8. H. Weber, "Propagation of higher-order intensity moments in quadratic-index media," Opt. and Quantum Electron. 24,1027-1049 (1992). [CrossRef]
  9. J. F. Kenney and E. S. Keeping, Mathematics of statistics, 2nd ed., (D. Van Nostrand Company Inc., 1951).
  10. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed., (Academic Press, 2001).
  11. D. Anderson, M. Lisak and T. Reichel, "Approximate analytical approaches to nonlinear pulse propagation in optical fibers: A comparison," Phys. Rev. A 38,1618-1620 (1988). [CrossRef] [PubMed]
  12. D. Anderson, M. Desaix, M. Karlsson, M. Lisak and M. L. Quiroga-Teixeiro, "Wave breaking in nonlinear-optical fibers," J. Opt. Soc. Am. B 9,1358-1361 (1992). [CrossRef]
  13. J. F. Geer, "Rational trigonometric approximations using Fourier Series Partial Sums," J. Sci. Comput. 10,325-356 (1995). [CrossRef]

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