Hermite-Gaussian expansion for pulse propagation in strongly dispersion managed fibers

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

Volumn 58, Issue 5, 1998, Pages 6728-6741

  Lakoba, T I ^a   Kaup, D J ^a  

^a CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLIFICATION; ELECTROMAGNETIC DISPERSION; HARMONIC ANALYSIS; INTEGRODIFFERENTIAL EQUATIONS; LASER PULSES; LIGHT PROPAGATION; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; SOLITONS; VARIATIONAL TECHNIQUES;

DISPERSION MANAGEMENT; GAUSSIAN TRIAL FUNCTION; HERMITE-GAUSSIAN EXPANSION; PULSE PROPAGATION;

OPTICAL FIBERS;

EID: 0032209227     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.6728     Document Type: Article

References (47)

1. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, Electron. Lett. 31, 2027 (1995).
2. I. Morita, M. Suzuki, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, IEEE Photonics Technol. Lett. 8, 1573 (1996).
3. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, and S. Akiba, Electron. Lett. 33, 691 (1997).
4. E. Yamada, H. Kubota, T. Yamamoto, A. Sahara, and M. Nakazawa, Electron. Lett. 33, 602 (1997).
5. G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, Opt. Lett. 22, 513 (1997).
6. S. Wabnitz, Opt. Lett. 21, 638 (1996).
7. N. J. Smith, W. Forysiak, and N. J. Doran, Electron. Lett. 32, 2085 (1996).
8. T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 793 (1997).
9. A. B. Grudinin, I. A. Goncharenko, Electron. Lett. 32, 1602 (1996).
10. E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, Opt. Lett. 22, 1156 (1997).
11. T. Okamawari, Y. Ueda, A. Maruta, Y. Kodama, and A. Hasegawa, Electron. Lett. 33, 1063 (1997).
12. H. Sugahara, H. Kato, and Y. Kodama, Electron. Lett. 33, 1065 (1997).
13. B. A. Malomed, Opt. Lett.23, 1250 (1998).
14. M. Matsumoto, J. Opt. Soc. Am. B (to be published).
15. T. Okamawari, A. Maruta, and Y. Kodama, Opt. Lett. 23, 694 (1998).
16. T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, Opt. Commun. 149, 366 (1998).
17. M. Nakazawa, E. Yamada, H. Kubota, T. Yamamoto, and A. Sahara, Electron. Lett. 33, 1480 (1997).
18. M. Nakazawa and H. Kubota, Electron. Lett. 31, 216 (1995).
19. P. V. Mamyshev and L. F. Mollenauer, Opt. Lett. 21, 396 (1996).
20. C. Kurtzke, IEEE Photonics Technol. Lett. 5, 1250 (1993);
21. R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, J. Lightwave Technol. 13, 841 (1995).
22. A. Hasegawa and Y. Kodama, Opt. Lett. 16, 1385 (1991).
23. K. H. Spatchek, S. K. Turitsyn, and Yu. S. Kivshar, Phys. Lett. A204, 269 (1995).
24. T.-S. Yang and W. L. Kath, Opt. Lett. 22, 985 (1997).
25. N. J. Smith, N. J. Doran, F. M. Knox, and W. Forysiak, Opt. Lett. 21, 1981 (1996).
26. M. K. Chin and X. Y. Tang, IEEE Photonics Technol. Lett. 9, 538 (1997).
27. N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, Electron. Lett. 32, 54 (1996).
28. M. Nakazawa, H. Kubota, and K. Tomura, IEEE Photonics Technol. Lett. 8, 452 (1996).
29. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, Electron. Lett. 33, 1726 (1997).
30. M. Matsumoto, Opt. Lett. 22, 1238 (1997).
31. B. A. Malomed, Opt. Commun. 136, 313 (1997).
32. S. K. Turitsyn, A. B. Aceves, C. K. R. T. Jones, and V. Zharnitsky, Phys. Rev. E 58, 48 (1998).
33. J. N. Kutz and S. G. Evangelides, Jr., Opt. Lett. 23, 685 (1998).
34. I. Gabitov, E. G. Shapiro, and S. K. Turutsyn, Phys. Rev. E55, 3624 (1997);
35. S. K. Turitsyn, Pis’ma Zh. Éksp. Teor. Fiz. 65, 812 (1997)
36. A. Hasegawa, Y. Kodama, and A. Maruta, Opt. Fiber Technol.: Mater., Devices Syst. 3, 197 (1997).
37. S. Kumar and A. Hasegawa, Opt. Lett. 22, 372 (1997).
38. T. I. Lakoba and D. J. Kaup, Electron. Lett. 34, 1124 (1998).
39. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Clarendon, Oxford, 1995).
40. F. M. Izrailev and B. V. Chirikov, Dokl. Akad. Nauk USSR 166, 57 (1966)
41. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic Press, New York, 1965), Chaps. 7 and 8.
42. A. B. Aceves and G. Cruz-Pacheco, Phys. Lett. A 233, 63 (1997).
43. V. I. Talanov, Pis’ma Zh. Éksp. Teor. Fiz. 11, 303 (1970)
44. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer-Verlag, New York, 1986), Chap. 2.
45. P. Lazaridis, D. Debarge, and P. Gallion, Opt. Lett. 22, 685 (1997).
46. S. Namiki and H. A. Haus, IEEE J. Quantum Electron. 33, 649 (1997).
47. D. J. Kaup, Phys. Rev. A 42, 5689 (1990).