Numerical analysis of nonlinear soliton propagation phenomena using the fuzzy mesh analysis technique

IEEE Journal of Quantum Electronics

Volumn 34, Issue 10, 1998, Pages 2029-2035

  Shum, P ^a,b,c   Yu, S F ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Modeling; Optical fiber communication; Optical fiber theory; Optical solitons

Indexed keywords

FUZZY SETS; LIGHT PROPAGATION; MATHEMATICAL MODELS; NONLINEAR OPTICS; NUMERICAL ANALYSIS; OPTICAL FIBERS; SOLITONS;

FUZZY MESH ANALYSIS;

OPTICAL COMMUNICATION;

EID: 0032186816     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/3.720243     Document Type: Article

References (21)

1. M. Nakazawa, E. Yoshida, and Y. Kimura, "Ultrastable harmonically and regeneratively modelocked polarization-maintaining erbium fiber ring laser," Electron. Lett., vol. 30, no. 19, pp. 1603-1605, Sept. 1994.
2. F. Favre, D. Le Guen, M. L. Moulinard, M. Henry, P. L. Francois, F. Devaux, and T. Georges, "Single-wavelength 40 Gbit/s, 8 × 100 km-span soliton transmission without any in-line control," Electron. Lett., vol. 33, no. 5, pp. 407-408, Feb. 1997.
3. W. S. Man, M. S. Demokan, and H. Tam, "All-optical routing switch using a fiber nonlinear directional coupler and controlling sections," J. Lightwave Technol., vol. 14, pp. 2793-2798, Dec. 1996.
4. M. Nakazawa, E. Yoshida, E. Yamada, K. Suzuki, T. Kitoh, and M. Kawachi, "80 Gbit/s soliton data transmission over 500 km with unequal amplitude solitons for timing clock extraction," Electron. Lett., vol. 30, no. 21, pp. 1777-1778, Oct. 1994.
5. M. Suzuki, N. Edagawa, H. Taga, H. Tanaka, S. Yamamoto, and S. Akiba, "Feasibility demonstration of 20 Gbit/s single channel soliton transmission over 11500 km using alternating-amplitude solitons," Electron. Lett., vol. 30, no. 13, pp. 1083-1084, June 1994.
6. L. F. Mollenauer, E. T. Lichman, M. J. Neubelt, and G. T. Harvey, "Demonstration, using sliding-frequency guiding filters, of error-free soliton transmission over more than 20 Mkm at 10Gbit/s, single-channel, and over more than 13 Mkm at 20 Gbit/s in a two channel WDM," Electron. Lett., vol. 29, pp. 910-911, 1993.
7. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, "Method for solving the Korteweg-deVries equation," Phys. Rev. Lett., vol. 19, no. 19, pp. 1095-10976, Nov. 6, 1967.
8. V. E. Zakharov and A. B. Shabat, "Exact theory of two-dimensional self-focusing and one-dimentional self-modulation of waves in nonlinear media," Sov. Phys. JETP. vol. 34, no 1, pp. 62-69, Jan. 1972.
9. H. A. Haus and M. N. Islam, "Theory of the soliton laser," IEEE J. Quantum Electron., vol. QE-21, pp. 1172-1188, Aug. 1985.
10. J. A. Giannini and R. I. Joseph, "The propagation of bright and dark solitons in lossy optical fibers," IEEE J. Quantum Electron., vol. 26, pp. 2109-2114, Dec. 1990.
11. R. H. Hardin and F. D. Tappert, "Applications of the split-step fourier method to the numerical soluton of nonlinear and variable coefficient wave equation," SIAM Rev. vol. 15, pp. 423-423, 1973.
12. H. Ghafouri-Shiraz and P. Shum, "A novel method for analysis of soliton propagation in optical fibers," IEEE J. Quantum Electron., vol. 31, pp. 190-200, Jan. 1995.
13. P. Shum and S. F. Yu, "Improvement of Fourier series analysis technique by time-domain window function," IEEE Photon. Technol. Lett., vol. 8, pp. 1364-1366, Oct. 1996.
14. J. A. C. Weideman and B. M. Herbst, "Split-step method for the solution of the nonlinear Schrodinger equation," SIAM J. Numerical Anal. vol. 23, no. 3, pp. 458-507, June 1986.
15. T. R. Taha and M. J. Ablowitz, "Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrodinger equation," J. Comput. Phus., vol. 55, pp. 203-230, 1984.
16. F. If, P. Berg, P. L. Christiansen and O. Skovgaard, "Split-step spectral method for nonlinear Schordinger equation with absorbing boundaries," J. Comput. Phys., vol. 72, no. 2, pp. 501-503, Oct. 1987.
17. Z. Wanxie, X. Zhuang, and J. Zhu, "A self-adaptive time integration algorithm for solving partal differential equations," Appl. Math. Comput., vol. 89, pp. 295-312, 1998.
18. D. Yevick, J. Yu, and F. Schmidt, "Analytic studies of absorbing and impedance-matched boundary layers," IEEE Photon. Technol. Lett., vol. 9, pp. 73-75, Jan. 1997.
19. X. Xin, H. F. Zhang, and X. X. Zhang, "Semi-adaptive grid method for convevtion-dominated flow," J. Hydrodynam., vol. 9, no. 1, pp. 96-101, 1997.
20. K. S. V. Kumar, A. V. R. Babu, K. N. Seetharamu, T. Sundararajan, and P. A. A. Narayana, "Generalized Delaunay triangulation algorithm with adaptive grid size control," Commun. Numerical Methods Eng., vol. 13, no. 12, pp. 941-948, Dec. 1997.
21. J. Castillo and E. M. Pedersen, "Solution adaptive direct variational grids for fluid flow calculations," J. Comput. Appl. Math., vol. 67, no. 2, pp. 343-370, Mar. 1996.