Four-wave mixing in dispersion-managed return-to-zero systems

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 5, 2003, Pages 831-845

  Ablowitz, Mark J ^a   Biondini, Gino ^b   Chakravarty, Sarbarish ^c   Horne, Rudy L ^a  

^a UNIVERSITY OF COLORADO   (United States)

^b OHIO STATE UNIVERSITY   (United States)

^c UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTROMAGNETIC DISPERSION; FOURIER OPTICS; FOURIER TRANSFORMS; LIGHT AMPLIFIERS; LIGHT PROPAGATION; MONOCHROMATORS; POISSON DISTRIBUTION; RESONANCE; WAVELENGTH DIVISION MULTIPLEXING;

PHASE-MATCHING CONDITIONS;

FOUR WAVE MIXING;

EID: 0037498555     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.20.000831     Document Type: Article

References (36)

1. I. P. Kaminow and T. L. Koch, eds., Optical Fiber Telecommunications IIIA (Academic, San Diego, Calif., 1997).
2. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995).
3. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, New York, 1995).
4. V. E. Zakharov and S. Wabnitz, eds., Optical Solitons: Theoretical Challenges and Industrial Perspectives (Springer-Verlag, Berlin, 1999).
5. A. Hasegawa, ed., New Trends in Optical Soliton Transmission Systems (Kluwer Academic, Dordrecht, The Netherlands, 1998).
6. A. Hasegawa, ed., Massive WDM and TDM Soliton Transmission Systems (Kluwer Academic, Dordrecht, The Netherlands, 2000).
7. R. B. Jenkins, J. R. Sauer, S. Chakravarty, and M. J. Ablowitz, "Data-dependent timing jitter in wavelength-division multiplexed soliton systems" Opt. Lett. 20, 1964-1966 (1995).
8. M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. Horne, "On timing jitter in wavelength-division multiplexed soliton systems," Opt. Commun. 150, 305-318 (1998).
9. M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. L. Home, "A comparison between lumped and distributed filter models in wavelength-division multiplexed soliton systems," Opt. Commun. 172, 211-227 (1999).
10. M. J. Ablowitz, G. Biondini, and E. S. Olson, "Incomplete collisions of wavelength-division multiplexed dispersion-managed solitons," J. Opt. Soc. Am. B 18, 577-583 (2001).
11. A. Mecozzi, "Timing jitter in wavelength-division-multiplexed filtered soliton transmission," J. Opt. Soc. Am. B 15, 152-161 (1998).
12. P. V. Mamyshev and L. F. Mollenauer, "Pseudo-phase-matched four-wave mixing in wavelength-division multiplexing soliton transmission," Opt. Lett. 21, 396-398 (1996).
13. M. J. Ablowitz, G. Biondini, S. Chakravarty, R. B. Jenkins, and J. R. Sauer, "Four-wave mixing in wavelength-division multiplexed soliton systems: damping and amplification," Opt. Lett. 21, 1646-1648 (1996).
14. R. W. Tkach, A. R. Chraplyvy, F. Forghieri, A. H. Gnauck, and R. M. Derosier, "Four-photon mixing and high-speed WDM systems," J. Lightwave Technol, 13, 841-849 (1995).
15. C. Kurtzke, "Suppression of fiber nonlinearities by appropriate dispersion management," IEEE Photon. Technol. Lett. 5, 1250-1252 (1993).
16. K. Inoue and H. Toba, "Fiber-four-wave mixing in multi-amplifier systems with nonuniform chromatic dispersion," J. Lightwave Technol. 13, 88-93 (1995).
17. E. A. Golovchenko, N. S. Bergano, and C. R. Davidson, "Four-wave mixing in multispan dispersion-managed transmission links," IEEE Photon. Technol. Lett. 10, 1481-1483 (1998).
18. M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. L. Horne, "Four-wave mixing in strongly dispersion-managed wavelength-division multiplexed soliton systems," in Non-linear Optics Conference, IEEE/LEOS Technical Digest Series (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 2000), pp. 1-38.
19. 19. O. Sinkin, J. W. Zweck, and C. R. Menyuk, "Comparative study of pulse interactions in optical fiber transmission systems with different modulation formats," Opt. Express 9, 339-352 (2001), http://www.opticsexpress.org.
20. M. Manna and E. Golovchenko, "FWM resonances in dispersion slope-matched and nonzero-dispersion fiber maps," IEEE Photon. Technol. Lett. 14, 929-931 (2002).
21. M. J. Ablowitz, G. Biondini, S. Chakravarty, R. B. Jenkins, and J. R. Sauer, "Four-wave mixing in wavelength-division multiplexed soliton systems: ideal fibers," J. Opt. Soc. Am. B 14, 1788-1794 (1997).
22. K. Fukuchi, M. Kakui, A. Sasaki, T. Ito, Y. Inada, T. Tsuzaki, T. Shitomi, K. Fuji, S. Shikii, H. Sugahara, and A. Hasegawa, "1.1 Tb/s (55 × 20 Gb/s) dense WDM soliton transmission over 3020 km widely-dispersion-managed transmission line employing 1.55-1.58,um hybrid repeaters," presented at the European Conference on Optical Communications, inclusive dates, 1999.
23. M. J. Ablowitz, G. Biondini, and E. S. Olson, "On the evolution and interaction of dispersion-managed solitons," in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer Academic, Dordrecht, The Netherlands, 2000).
24. M. J. Ablowitz and G. Biondini, "Multiscale pulse dynamics in communication systems with strong dispersion management," Opt. Lett. 23, 1668-1670 (1998).
25. M. J. Ablowitz, G. Biondini, and T. Hirooka, "Quasi-linear optical pulses in strongly dispersion-managed transmission systems," Opt. Lett. 26, 459-461 (2001).
26. G. Biondini and S. Chakravarty, "Nonlinear chirp of dispersion-managed return-to-zero pulses," Opt. Lett. 26, 1761-1763 (2001).
27. I. R. Gabitov and S. K. Turitsyn, "Averaged pulse dynamics a cascaded transmission system with passive dispersion compensation," Opt. Lett. 21, 327-329 (1996).
28. A. Mecozzi, C. B. Clausen, and M. Shtaif, "Analysis of intrachannel nonlinear effects in highly dispersed optical pulse transmission," IEEE Photon. Technol. Lett. 12, 392-394 (2000).
29. M. J. Ablowitz and T. Hirooka, "Resonant intrachannel four-wave mixing in strongly dispersion-managed transmission systems," Opt. Lett. 25, 1750-1752 (2000).
30. S. Burtsev and I. Gabitov, "Four-wave mixing in fiber links with dispersion management," in New Trends in Optical Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer Academic, Dordrecht, The Netherlands, 1998), pp. 261-270.
31. R. L. Home, "Collision-induced timing jitter and four-wave mixing in wavelength-division multiplexed soliton systems," Ph.D. dissertation (University of Colorado at Boulder, Boulder, Colo., 2001).
32. M. J. Ablowitz and A. S. Fokas, Complex Variables: Introduction and Applications (Cambridge U. Press, Cambridge, 1997).
33. M. J. Ablowitz, G. Biondini, A. Biswas, S. Chakravarty, A. Docherty, and T. Hirooka, "Timing shifts in dispersion-managed soliton systems," Opt. Lett. 27, 318-320 (2002).
34. D. W. Kammler, A First Course in Fourier Analysis (Prentice-Hall, Upper Saddle River, N.J., 2000).
35. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, "Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion," Electron. Lett. 33, 1726-1728 (1997).
36. W. Forysiak, J. F. L. Devaney, N. J. Smith, and N. J. Doran, "Dispersion management for wavelength-division multiplexed soliton transmission," Opt. Lett. 22, 600-602 (1997).