OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 16, Iss. 8 — Aug. 1, 1999
  • pp: 1189–1196

Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers

M. Brandt-Pearce, Ira Jacobs, J.-H. Lee, and J. K. Shaw  »View Author Affiliations

JOSA B, Vol. 16, Issue 8, pp. 1189-1196 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (162 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Using the variational method, we derive simple, closed-form algebraic expressions that approximate the optimal input rms pulse width and the corresponding minimum output rms width for Gaussian pulses subject to both dispersive and nonlinear effects in single-mode fibers. We present results in both numerical and analytical forms and confirm them by the split-step Fourier numerical method. Our results cover both normal and anomalous dispersion in fibers with gain and loss. For the case of normal dispersion we show that both the optimal input and output widths are asymptotically linearly dependent on distance and dependent on the square roots of the dispersion coefficient and the transmitted power.

© 1999 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.4510) Fiber optics and optical communications : Optical communications

M. Brandt-Pearce, Ira Jacobs, J.-H. Lee, and J. K. Shaw, "Optimal input Gaussian pulse width for transmission in dispersive nonlinear fibers," J. Opt. Soc. Am. B 16, 1189-1196 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Marcuse and C. Lin, “Low dispersion single-mode fiber transmission—the question of practical versus theoretical maximum bandwidth transmission,” IEEE J. Quantum Electron. QE-17, 860–877 (1981).
  2. G. P. Agrawal, Fiber-Optic Communications (Wiley, New York, 1992).
  3. A. Nata and S. Saito, “In-line amplifier transmission distance determined by self-phase modulation and group-velocity dispersion,” J. Lightwave Technol. 12, 280–287 (1994). [CrossRef]
  4. M. J. Potasek, G. P. Agrawal, and S. C. Pinault, “Analytic and numerical study of pulse broadening in nonlinear dispersive fibers,” J. Opt. Soc. Am. B 3, 205–211 (1986). [CrossRef]
  5. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995).
  6. X. Ma, “Analysis and simulation of long haul in-line fiber amplifier transmission systems,” Ph.D. dissertation (Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 1994).
  7. D. Marcuse, “RMS width of pulses in nonlinear dispersive fibers,” J. Lightwave Technol. 10, 17–21 (1992). [CrossRef]
  8. D. Anderson, “Variational approach to nonlinear pulse propagation in fibers,” Phys. Rev. A 27, 3135–3145 (1983). [CrossRef]
  9. V. S. Grigorian, T. Yu, E. A. Goluvchenko, C. R. Menyuk, and A. N. Pilipetski, “Dispersion-managed soliton dynamics,” Opt. Lett. 22, 1609–1611 (1997). [CrossRef]
  10. I. Gabitov and S. K. Turitsyn, “Breathing solitons in optical fiber links,” JETP Lett. 63, 862–866 (1996). [CrossRef]
  11. B. A. Malomed, “Ideal amplification of an ultrashort soliton in a dispersion-decreasing fiber,” Opt. Lett. 19, 341–343 (1994). [CrossRef] [PubMed]
  12. M. Florjanczyk, “RMS width of pulses in nonlinear dispersive fibers: pulses of arbitrary initial form with chirp,” J. Lightwave Technol. 13, 1801–1806 (1995). [CrossRef]
  13. D. Anderson, M. Lisak, and T. Reichel, “Asymptotic propagation properties of pulses in a soliton-based optical-fiber communication system,” J. Opt. Soc. Am. B 5, 207–210 (1988). [CrossRef]
  14. D. Anderson and M. Lisak, “Propagation characteristics of frequency-chirped super-Gaussian optical pulses,” Opt. Lett. 11, 569–571 (1986). [CrossRef] [PubMed]
  15. D. Anderson, M. Lisak, and P. Anderson, “Nonlinearly enhanced chirp pulse compression in single-mode fibers,” Opt. Lett. 10, 134–136 (1985). [CrossRef] [PubMed]
  16. I. Vinogradov, ed., Encyclopedia of Mathematics (Kluwer Academic, Dordrecht, The Netherlands, 1988), Vol. 2, p. 19.
  17. J.-H. Lee, “Analysis and characterization of fiber nonlinearities with deterministic and stochastic signal sources,” Ph.D. dissertation proposal (Electrical Engineering Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 1998).
  18. P. Belanger and C. Pare, “Second-order moment analysis of dispersion-managed solitons,” J. Lightwave Technol. 17, 445–451 (1999). [CrossRef]
  19. S. Turitsyn, T. Schafer, and V. Mezentsev, “Generalized root-mean-square momentum method to describe chirped return-to-zero signal propagation in dispersion-managed fiber links,” IEEE Photonics Technol. Lett. 11, 203–205 (1999). [CrossRef]
  20. T. Yang, W. Kath, and S. Evangelides, “Optimal prechirping for dispersion-managed transmission of return-to-zero pulses,” in Digest of Optical Fiber Communications Conference and International Conference and Integrated Optics and Optical Fiber Communication (Optical Society of America, Washington, D.C., 1999), Feb. 25, 1999, pp. 249–254.
  21. T. Lakoba, J. Yang, D. Kaup, and B. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Optics Commun. 149, 366–375 (1998). [CrossRef]
  22. V. Afanasjev, B. Malomed, P. Chu, and M. Islam, “Generalized variational approximations for the optical soliton,” Optics Commun. 147, 317–322 (1998). [CrossRef]
  23. J. Kutz, P. Holmes, S. Evangelides, and J. Gordon, “Hamiltonian dynamics of dispersion-managed breathers,” J. Opt. Soc. Am. B 15, 87–96 (1998). [CrossRef]
  24. I. N. Herstein, Topics in Algebra (Blaisdell, New York, 1964).
  25. S. Wikes, Mathematical Statistics (Wiley, New York, 1962).

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited