Stable soliton in the fiber-optic system with self-frequency shift

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 1, 2003, Pages 59-64

  Tian, Huiping ^a   Li, Zhonghao ^a   Xu, Zhiyong ^a   Tian, Jinping ^a   Zhou, Guosheng ^a  

^a SHANXI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FIBER LASERS; FIBER OPTICS; LIGHT PROPAGATION; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

LINEAR STABILITY ANALYSIS;

SOLITONS;

EID: 0038513519     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.20.000059     Document Type: Article

References (35)

1. L. F. Mollenauer, "Solitons in optical fibers and the soliton laser," Philos. Trans. R. Soc. London, Ser. A 315, 437-450 (1985).
2. A. Hasegawa and Y. Kodama, "Signal transmission by optical solitons in monomode fibers," Proc. IEEE 69, 1145-1150 (1981).
3. A. Hasegawa and F. Tappert, "Transmission of stationary nonlinear optical pulses in dispersion dielectric fibers. 1. Anomalous dispersion," Appl. Phys. Lett. 23, 142-144 (1973).
4. Y. Kodama, "Optical solitons in a monomode fiber," J. Stat. Phys. 39, 597-614 (1985).
5. D. Mihalache, L. Torner, F. Moldoveanu, N.-C. Panoiu, and N. Truta, "Inverse scattering approach to femtosecond solitons in monomode optical fibers," Phys. Rev. E 48, 4699-4709 (1993).
6. D. Mihalache, N.-C. Panoiu, F. Moldoveanu, and D.-M. Baboiu, "The Riemann problem method for solving a perturbed nonlinear Schrödinger equation describing pulse propagation in optic fibers," J. Phys. A 27, 6177-6189 (1994).
7. R. Hirota, "Exact envelope-soliton solution of a nonlinear wave equation," J. Math. Phys. 14, 805-809 (1973).
8. N. Sasa and J. Satsuma, "New-type soliton solution for a higher-order nonlinear Schrödinger equation," J. Phys. Soc. Jpn. 60, 409-417 (1991).
9. M. J. Potasek and M. Tabor, "Exact solutions for an extended nonlinear Schrödinger equation," Phys. Lett. A 154, 449-452 (1991).
10. D. Mihalache, N. Truta, and L.-C. Crasovan, "Painlevé analysis and bright solitary waves of the higher-order non-linear Schrödinger equation containing third-order dispersion and self-steepening terms," Phys. Rev. E 56, 1064-1070 (1997).
11. M. Gedalin, T. C. Scott, and Y. B. Band, "Optical solitary waves in the higher-order nonlinear Schrödinger equation," Phys. Rev. Lett. 78, 448-451 (1997), and references therein.
12. S. L. Palacios, A. Guinea, J. M. Fernández-Díaz, and R. D. Crespo, "Dark solitary waves in the nonlinear Schrödinger equation with third-order dispersion, self-steepening, and self-frequency shift," Phys. Rev. E 60, R45-R47 (1999).
13. E. M. Gromov, L. V. Piskunova, and V. V. Tyutin, "Dynamics of wave packets in the frame of a third-order nonlinear Schrödinger equation," Phys. Lett. A 256, 153-158 (1999).
14. V. I. Karpman, "Radiation of solitons described by high-order cubic nonlinear Schrödinger equation," Phys. Rev. E 62, 5678-5687 (2000).
15. Z. H. Li, L. Li, H. P. Tian, and G. S. Zhou, "New types of solitary wave solution for the higher nonlinear Schrödinger equation," Phys. Rev. Lett. 84, 4096-4099 (2000).
16. A. Mahalingam and K. Porsezian, "Propagation of dark solitons with higher-order effects in optical fibers," Phys. Rev. E 64, 046608-1-046608-9 (2001).
17. F. M. Mitschke and L. F. Mollenauer, "Discovery of the soliton self-frequency shift," Opt. Lett. 11, 659-661 (1986).
18. B. Zysset, P. Beaud, and W. Hodel, "Generation of optical solitons in the wavelength region 1.37-1.49 μm," Appl. Phys. Lett. 50, 1027-1029 (1987).
19. J. P. Gordon, "Theory of the soliton self-frequency shift," Opt. Lett. 11, 662-664 (1986).
20. K. Porsezian and K. Nakkeeran, "Optical solitons in presence of Kerr dispersion and self-frequency shift," Phys. Rev. Lett. 76, 3955-3958 (1996).
21. K. J. Blow, N. J. Doran, and David Wood, "Suppression of the soliton self-frequency shift by bandwidth-limited amplification," J. Opt. Soc. Am. B 5, 1301-1304 (1988).
22. K. J. Blow, N. J. Doran, and D. Wood, "Generation and stabilization of short soliton pulses in the amplified nonlinear Schrödinger equation," J. Opt. Soc. Am. B 5, 381-391 (1988).
23. M. Nakazawa, H. Kubota, K. Kurokawa, and E. Yamada, "Femtosecond optical soliton transmission over long distances, using adiabatic trapping and soliton standardization," J. Opt. Soc. Am. B 8, 1811-1817 (1991).
24. M. Nakazawa, K. Kurokawa, H. Kubota, and E. Yamada, "Observation of the trapping of an optical soliton by adiabatic gain narrowing and its escape," Phys. Rev. Lett. 65, 1881-1884 (1990).
25. M. Ding and K. Kikuchi, "Analysis of soliton transmission in optical fibers with the soliton self-frequency shift being compensated by distributed frequency-dependent gain," IEEE Photonics Technol. Lett. 4, 497-500 (1992).
26. K. Kurokawa and M. Nakazawa, "Wavelength-dependent amplification characteristics of femtosecond erbium-doped optical fiber amplifiers," Appl. Phys. Lett. 58, 2871-2873 (1991).
27. L. T. Sorokina, E. Sorokin, E. Wintner, A. Cassanho, H. P. Jenssen, and R. Szipocs, "14-fs pulse generation in Kerrlens mode-locked prismless Cr:LiGaF and Cr:LiSAF lasers: observation of pulse self-frequency shift," Opt. Lett. 22, 1716-1718 (1997).
28. M. Matsumoto, H. Ikeda, T. Uda, and A. Hasegawa, "Stable soliton transmission in the system with nonlinear gain," J. Lightwave Technol. 13, 658-665 (1995).
29. See, for example, G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif. 1989).
30. 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).
31. B. A. Malomed, D. F. Parker, and N. F. Smyth, "Resonant shape oscillations and decay of a soliton in a periodically inhomogeneous nonlinear optical fiber," Phys. Rev. E 48, 1418-1425 (1993).
32. L. Gagnon and P. A. Bélanger, "Adiabatic amplification of optical solitons," Phys. Rev. A 43, 6187-6193 (1991).
33. J. Kumasako, M. Natsumoto, and S. Waiyapot, "Linear stability analysis of dispersion-managed solitons controlled by filters," J. Lightwave Technol. 18, 1064-1068 (2000).
34. C.-J. Chen, P. K. A. Wai, and C. R. Menyuk, "Stability of passively mode-locked fiber lasers with fast saturable absorption," Opt. Lett. 19, 198-200 (1994).
35. Y. Kodama, M. Romagnoli, and S. Wabnitz, "Soliton stability and interaction in fiber lasers," Electron. Lett. 28, 1981-1983 (1992).