OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 12, Iss. 9 — Sep. 1, 1995
  • pp: 1671–1679

Slowly varying femtosecond solitary waves in axially inhomogeneous optical fibers near the zero-dispersion point

D. J. Frantzeskakis, E. Papaioannou, and K. Hizanidis  »View Author Affiliations


JOSA B, Vol. 12, Issue 9, pp. 1671-1679 (1995)
http://dx.doi.org/10.1364/JOSAB.12.001671


View Full Text Article

Acrobat PDF (457 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A perturbed nonlinear Schrödinger equation that describes femtosecond pulse propagation in spatially (axially) inhomogeneous optical fibers near the zero-dispersion point is considered. This equation, which has varying coefficients, is analyzed by means of a multiple-scale perturbation technique. Approximate analytical results, valid up to the first order, concerning both the envelope function and the carrier wave number and frequency, are derived. Necessary conditions for envelope bright solitary-wave formation, as well as the solutions themselves, are presented. Typical results concerning the effect of the inhomogeneity on the solitary-wave propagation also are given.

© 1995 Optical Society of America

Citation
D. J. Frantzeskakis, E. Papaioannou, and K. Hizanidis, "Slowly varying femtosecond solitary waves in axially inhomogeneous optical fibers near the zero-dispersion point," J. Opt. Soc. Am. B 12, 1671-1679 (1995)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-12-9-1671


Sort:  Author  |  Journal  |  Reset

References

  1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, Orlando, Fla., 1989); A. Hasegawa, Optical Solitons in Fibers (Springer-Verlag, Berlin, 1989).
  2. P. K. A. Wai, C. R. Menyuk, H. H. Chen, and Y. C. Lee, Opt. Lett. 11,464 (1986); 12, 628 (1987); P. K. A. Wai, H. H. Chen, and Y. C. Lee, Phys. Rev. A 41, 426 (1990).
  3. M. Desaix, D. Anderson, and M. Lisak, Opt. Lett. 15, 18 (1990); 15, 1285 (1990).
  4. G. P. Agrawal and M. J. Potasek, Phys. Rev. A 33, 1765 (1986).
  5. Yu. S. Kivshar, Phys. Rev. A 43, 1677 (1991); Opt. Lett. 16, 892 (1991); Yu. S. Kivshar and V. V. Afanasjef, Phys. Rev. A 44, R1446 (1991).
  6. D. J. Frantzeskakis, K. Hizanidis, G. S. Tombras, and I. Belia, IEEE J. Quantum Electron. 31, 183 (1995).
  7. R. Grimshaw, Proc. R. Soc. London Ser. A 368, 377 (1979).
  8. H. H. Kuehl, J. Opt. Soc. Am. B 3, 709 (1988).
  9. Yu. S. Kivshar and V. V. Konotop, Sov. J. Quantum Electron. 19, 566 (1989).
  10. V. I. Karpman and E. M. Maslov, Zh. Eksp. Teor. Fiz. 73, 537 (1977) [Sov. Phys. JETP 46, 281 (1977)]; D. J. Kaup and A. C. Newell, Proc. R. Soc. London Ser. A 361, 413 (1978).
  11. H. H. Chen and C. S. Liu, Phys. Fluids 21, 377 (1978).
  12. F. G. Bass, Yu. S. Kivshar, V. V. Konotop, and G. M. Pritula, Opt. Commun. 70, 309 (1989); R. Scharf and A. R. Bishop, Phys. Rev. A 46, R2973 (1992).
  13. P. K. A. Wai, C. R. Menyuk, H. H. Chen, and Y. C. Lee, IEEE J. Quantum Electron. 24, 373 (1988).
  14. Y. Kodama, J. Stat. Phys. 39, 597 (1985); Y. Kodama and A. Hasegawa, IEEE J. Quantum Electron. QE-23, 510 (1987).
  15. M. J. Potasek, J. Appl. Phys. 65, 941 (1989).
  16. M. J. Potasek, J. Appl. Phys. 63, 5186 (1988).
  17. N. Asano, Progr. Theor. Phys. (Japan) Suppl. 55, 52 (1974).
  18. N. J. Doran and D. Wood, J. Opt. Soc. Am. B 5, 1301 (1988); K. Kurokawa and M. Nakazawa, Appl. Phys. Lett. 58, 2871 (1991); M. Ding and K. Kikuchi, IEEE Photon. Technol. Lett. 4, 497 (1992).
  19. E. Infeld and G. Rowlands, Nonlinear Waves, Solitons, and Chaos (Cambridge U. Press, Cambridge, 1990).

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