Coupled-field description of zero-average dispersion management

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 4, 1999, Pages 4836-4842

  Pare C ^a   Roy, V ^b   Lesage, F ^c   Mathieu, P ^b   Belanger P A ^a  

^a CENTRE D OPTIQUE   (Canada)

^b UNIVERSITÉ LAVAL   (Canada)

^c UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0007690522     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4836     Document Type: Article

References (32)

1. N. J. Smith, N. J. Doran, W. Forysiak, and F. M. Knox, J. Lightwave Technol. 15, 1808 (1997), and references therein.
2. A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol.: Mater., Devices Syst. 3, 197 (1997), and references therein.
3. M. Suzuki, I. Morita, N. Edgawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995)
4. S. Kumar and F. Lederer, Opt. Lett. 22, 1870 (1997)
5. J. N. Kutz and P. K. A. Wai, IEEE Photonics Technol. Lett. 10, 702 (1998)
6. R.-M. Mu, V. S. Grigoryan, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, Opt. Lett. 23, 930 (1998).
7. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, and S. Akiba, Electron. Lett. 33, 691 (1997)
8. Electron. Lett.E. Kolltveit, J.-P. Hamaide, and O. Audoin, 32, 1858 (1996)
9. W. Forysiak, J. F. L. Devaney, N. J. Smith, and N. J. Doran, Opt. Lett. 22, 600 (1997)
10. Opt. Lett.E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, 22, 1156 (1997)
11. Opt. Lett.T.-S. Yang, W. L. Kath, and S. K. Turitsyn, 23, 597 (1998)
12. Opt. Lett.T. Hirooka and A. Hasegawa, 23, 768 (1998)
13. Opt. Lett.A. M. Niculae, W. Forysiak, A. J. Gloag, J. H. B. Nijhof, and N. J. Doran, 23, 1354 (1998)
14. Opt. Lett.D. J. Kaup, B. A. Malomed, and J. Yang, 23, 1600 (1998).
15. V. S. Grigoryan and C. R. Menyuk, Opt. Lett. 23, 609 (1998).
16. J. N. Kutz and S. G. Evangelides, Opt. Lett. 23, 685 (1998).
17. S. K. Turitsyn and E. G. Shapiro, Opt. Lett. 23, 682 (1998).
18. A. Bernston, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, Opt. Lett. 23, 900 (1998).
19. Y. Chen and H. A. Haus, Opt. Lett. 23, 1013 (1998).
20. J. H. B. Nijhof, W. Forysiak, and N. J. Doran, Opt. Lett. 23, 1674 (1998).
21. T. I. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
22. S. K. Turitsyn, N. F. Smyth, and E. G. Turitsyna, Phys. Rev. E 58, R44 (1998).
23. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Bernston, Electron. Lett. 34, 481 (1998).
24. P. Fendley, A. Ludwig, and H. Saleur, Phys. Rev. B 52, 8934 (1995).
25. I. Affleck and A. Ludwig, J. Phys. A 21, 5375 (1994).
26. C. Paré and P.-A. Bélanger, in Nonlinear Guidead Waves & Their Applications, Vol. 5 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 39–41.
27. Here, the status of the integrability of the system is somewhat unusual. The original system is equivalent to a NLS equation with a periodic z-dependent dispersion and this is not integrable. On the other hand, the coupled system defined on (Formula presented) by itself appears to be integrable; conservation laws are easily written down as linear combinations of two independent NLS conservation laws. However, when viewed in terms of the original variables, these are not local but rather bilocal as (Formula presented) depends formally on z and (Formula presented) Clearly, the integrability aspect requires further clarification.
28. M. J. Ablowitz and G. Biondini, Opt. Lett. 23, 1668 (1998).
29. The multiple-scale method has also been used to analyze a dispersion-managed system, in a different regime, in T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
30. A. Berntson, D. Anderson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, Electron. Lett. 34, 2054 (1998).
31. N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
32. T. Yu, R.-M. Mu, V. S. Grigoryan, and C. R. Menyuk, IEEE Photonics Technol. Lett. 11, 75 (1999).