OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 18, Iss. 10 — May. 15, 1993
  • pp: 787–789

Spectral modulation and the growth of resonant modes associated with periodically amplified solitons

J. N. Elgin and S. M. J. Kelly  »View Author Affiliations


Optics Letters, Vol. 18, Issue 10, pp. 787-789 (1993)
http://dx.doi.org/10.1364/OL.18.000787


View Full Text Article

Enhanced HTML    Acrobat PDF (391 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A first-order spectral perturbation theory of resonant modes that evolve with periodically amplified optical fiber solitons is presented. In contrast with the modulational instability, these modes exhibit a linear growth in amplitude with respect to propagation and have a tuning characteristic that follows an inverse square-root dependence on the amplification period. Numerical results based on a complete solution of the nonlinear Schrödinger equation are also presented that confirm and quantify this behavior.

© 1993 Optical Society of America

History
Original Manuscript: December 29, 1992
Published: May 15, 1993

Citation
J. N. Elgin and S. M. J. Kelly, "Spectral modulation and the growth of resonant modes associated with periodically amplified solitons," Opt. Lett. 18, 787-789 (1993)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-18-10-787


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Hasegawa, Y. Kodama, Phys. Rev. Lett. 66, 161 (1991). [CrossRef] [PubMed]
  2. L. F. Mollenauer, S. G. Evangelides, H. A. Haus, Lightwave Technol. 9, 194 (1991). [CrossRef]
  3. S. M. J. Kelly, K. Smith, K. J. Blow, N. J. Doran, Opt. Lett. 16, 1337 (1991). [CrossRef] [PubMed]
  4. J. P. Gordon, J. Opt. Soc. Am. B 9, 91 (1992). [CrossRef]
  5. S. M. J. Kelly, Electron. Lett. 28, 806 (1992).Note that the +1 in Eq. (5) of this Letter should read −1 [seeS. M. J. Kelly errata, Electron. Lett. 28, 1562 (1992)]. [CrossRef]
  6. N. K. Smith, K. J. Blow, I. Andonovic, J. Lightwave Technol. 10, 1329 (1992). [CrossRef]
  7. V. J. Matsas, T. P. Newson, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992). [CrossRef]
  8. M. Nakazawa, E. Yoshida, Y. Kimiura, Appl. Phys. Lett. 59, 2073 (1991). [CrossRef]
  9. N. Pandit, D. U. Noske, J. R. Taylor, Opt. Lett. 17, 1515 (1992). [CrossRef] [PubMed]
  10. A. Hasegawa, W. Brinkman, IEEE J. Quantum Electron. QE-16, 694 (1980). [CrossRef]
  11. M. J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1981). [CrossRef]
  12. D. J. Kaup, SIAM J. Appl. Math. 31, 121 (1976). [CrossRef]
  13. J. N. Elgin, Opt. Lett. 17, 1409 (1992). [CrossRef] [PubMed]
  14. A. Hasegawa, Appl. Opt. 23, 3302 (1984). [CrossRef] [PubMed]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited