Abstract
In this paper, we summarize some of the recent results obtained by the soliton group at Osaka University. The main objective is to study nonlinear pulse propagation in ultra-fast optical communication lines having dispersion management. For the case of soliton system, the main purpose of the dispersion management is to reduce several effects such as radiations from the pulse due to lumped amplifiers compensating the fiber loss [1, 2], modulational instability [4], jitters caused by the collisions between signals in different channels of the wavelength-division-multiplexing (WDM) [5, 6, 7], the Gordon-Hans effect resulting from the interaction with noise [8, 9], and to set a desired average value of the dispersion [10, 4] (see also a review paper [11]). It was pointed out in numerical studies [12, 13] that in such a line the pulse is deformed from the ideal soliton, i.e., it has a chirp and requires an enhanced power when compared with the soliton case with a uniform dispersion. Such a pulse is now called dispersion managed (DM) soliton, and seems to be quite stable. This is one of the main object studied in this paper. We also discuss the deformation of the conventional non-return-to-zero (NRZ) pulse based on an integrable model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Forysiak W., Knox F. M., and Doran N. J., J. Lightwave Technol. 12 (1994) 1330.
Kodama Y., Kumar S. and Hasegawa A., Dispersion managements on soliton transmission in fibres with lumped amplifiers (Physics and Applications of Optical Solitons in Fibres ‘85, Kluwer Academic Press, 1996) p.
V. Cautaerts et al
Kumar S., Hasegawa A., and Kodama Y., J. Opt. Soc. Am. B 14 (1997) 888.
Doran N. J,Smith N. J., Forysiak W., and Knox F. M., Dispersion as control parameter in soliton transmission systems (Physics and Applications of Optical Solitons in Fibres ‘85, Kluwer Academic Press, 1996) p. 1.
Hasegawa A., Kumar S., and Kodama Y., Opt. Lett 21 (1996) 39.
Okamawari T., Ueda Y., Maruta A., Kodama Y., and Hasegawa A., Electron. Lett 33 (1997) 1063.
Sugahara H., Kato H., and Kodama Y., Electron. Lett 33 (1997) 1065.
Forysiak W., Blow K. J., and Doran N. J., Electron. Lett 29 (1993) 1225.
Suzuki M., Morita I., Edagawa N., Yamamoto S., Taga H., and Akiba S., Electron. Lett 31 (1995) 2027.
Nakazawa M. and Kubota H Electron. Lett 31 (1995) 216.
Hasegawa A., Kodama Y., and Maruta A., Opt. Fiber Tech 3 (1997) 197.
Smith N. J., Knox F. M., Doran N. J., Blow K. J., and Bennion I., Electron. Lett 32 (1996) 54.
Georges T. and Charbonnier B IEEE Photon. Technol. Lett 9 (1997) 127
Sugahara H., Kato H., Inoue T., Maruta A. and Kodama Y., Optimal dispersion management for a wavelength-division-multiplexed optical soliton transmission, system in preparation.
Kodama Y., and Wabnitz S., Opt. Lett 20 (1995) 2291.
Whitham G. B., Linear and Nonlinear Waves ( John Wiley, New York, 1974 )
Kodama Y., and Wabnitz S., Electron. Lett 31 (1995) 1761.
Kodama Y., The Whitham Equations for Optical Communications: Mathemtical theory of NRZ,to appear in SIAM J. of Appl. Math (1999).
Nijhof.J.H.B Doran N. J., W. Forysiak, and Knox F. M., Elect. Lett 33 (1997) 1726.
Kodama Y., New Trends in Optical Soliton Transmission Systems (A. Hasegawa ed., Kyoto, 1998 ) p. 131–153.
Lakoba T.I and Kaup D. J., Elect. Lett 34 (1998) 1124.
Lazardis P Debarge G. and Gallion P Opt. Lett 22 (199 7) 685.
Turitsyn S. K., Schäfer T. and Mezentsev V. K., Opt.Lett 23 (1998) 1351.
Mollenauer L. F., Evangelides S. G., and Gordon.J. P., J. Lightwave Technol 9 (1991) 362.
Wabnitz S., Opt. Lett 22 (1997) 1695.
Kumar S., Kodama Y., and Hasegawa A., Electron. Lett 33 (1997) 459.
Forysiak W., Devaney J. F. L., Smith N. J., and Doran N. J., Opt. Lett 22 (199 7) 600.
Kodama Y. and Maruta A., Opt. Lett 22 (1997) 1692.
Devaney J. F. L., Forysiak W., Niculae A. M., and Doran N. J., Opt. Lett 22 (199 7) 1695.
Hirooka T. and Hasegawa A., Opt. Lett 23 (1998) 768.
Sugahara H Inoue T., Maruta A., and Kodama Y., Electron. Lett 34 (1998) 902.
Sugahara H., Maruta A., and Kodama Y., Opt. Lett 24 (1999) 145.
Hasegawa A. and Kodama Y., Solitons in Optical Communications (Oxford U. Press, Oxford, 1995 ) p. 179–183.
Hasegawa A. and Kodama Y., Opt. Lett 16 (1991) 1385.
Kodama Y., Kumar S., and Maruta A., Opt. Lett 22 (1997) 1689.
Meccozzi A., J. Opt. Soc. Am. B 13 (1998) 152.
Ablowitz M. J., Biondini G., Chakravarty S., and Horne R.. L., Opt. Com mun. 150 (1998) 305.
Sugahara H Maruta A., and Kodama Y., Analysis of timing jitter in a wavelength-division-multiplexed dispersion managed. oliton transmission in preparation.
Flaschka H Forest M. G., and McLaughlin D. W, Comm Pure Appl. Math 33 (1980) 739.
Bloch A. M., and Kodama Y., SIAM J. App.’. Math. 52 (1992) 909.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cautaerts, V., Kodama, Y., Maruta, A., Sugahara, H. (1999). Nonlinear Pulses in Ultra-Fast Optical Communications. In: Zakharov, V.E., Wabnitz, S. (eds) Optical Solitons: Theoretical Challenges and Industrial Perspectives. Centre de Physique des Houches, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03807-9_9
Download citation
DOI: https://doi.org/10.1007/978-3-662-03807-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66314-0
Online ISBN: 978-3-662-03807-9
eBook Packages: Springer Book Archive