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http://dx.doi.org/10.3807/HKH.2007.18.2.093

Modulation Instability in Dispersion and Gain Managed Fibers  

Choi, Byung-Hoon (School of Electrical and Computer Engineering, Ajou University)
Kim, Sang-In (School of Electrical and Computer Engineering, Ajou University)
Publication Information
Korean Journal of Optics and Photonics / v.18, no.2, 2007 , pp. 93-99 More about this Journal
Abstract
We investigated analytically and numerically the occurrence of modulation instability in fibers with periodic changes both in dispersion and gain. Previously, it has been known that the modulation instability is suppressed in dispersion managed solitons where dispersion is managed in such a way that the local dispersion alternates between the normal and the anomalous regimes. In this work, we enhanced the advantage of the dispersion management scheme by additionally introducing proper gain/loss profiles in fibers. The gain/loss profile is given by $\Gamma(z)=0.5/D(z)*(dD/dz)$, where D(z) represents the dispersion profile. The fundamental gain spectra of the modulation instability in the dispersion and gain managed fibers have been derived analytically and confirmed by numerical calculation. Our investigation reveals that in the dispersion and gain fibers the modulation instabilities are always much more suppressed compared to the case with only dispersion managed. In practical dispersion management schemes, dispersion profiles show discontinuity. and thus. the corresponding gain/loss profiles tend to be finite. In these cases, the gain/loss profiles were approximated by lumped gains/losses of finite values. Our numerical calculations confirm that this approximation also works well.
Keywords
Soliton; Dispersion managed soliton; Gain management; Modulation instability; Polarization mode dispersion;
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1 L. F. Mollenauer, J. P. Gordon, and M. N. Islam, 'Soliton Propagation in Long Fibers with Periodically Compensated Loss,' IEEE J. Quantum Electron., vol. 22, pp. 157-173, 1986   DOI
2 H. Kubota and M. Nakazawa, 'Soliton Transmission Control in Time and Frequency Domains,' IEEE J. Quantum Electron., vol. 29, pp. 2189-2197, 1993   DOI   ScienceOn
3 M. Matsumoto, Y. Akagi, and A. Hasegawa, 'Propagation of Solitons in Fibers with Randomly Varying Birefringence : Effects of Soliton Transmission Control,' J. Lightwave Technol., vol. 15, pp. 584-589, 1997   DOI   ScienceOn
4 X. Zhang, M. Karlsson, P. A. Andrekson, and K. Bertilsson, 'Soliton Stability in Optical Fibers With Polarization-Mode Dispersion,' IEEE Photon. Technol. Lett., vol. 10, pp. 376-378, 1998   DOI   ScienceOn
5 C. Xie, M. Karlsson, P. A. Andrekson, and H. Sunnerud, 'Robusteness of Dispersion-Managed Solitons to the Polarization-Mode Dispersion in Optical Fibers,' IEEE Photon. Technol. Lett., vol. 13, pp. 121-123, 2001   DOI   ScienceOn
6 G. P. Agrawal, Nonlinear Fiber Optics. New York : Academic Press, 1993
7 D. Anderson and M. Lisak, 'Modulational instability of coherent optical-fiber transmission signals,' Opt. Lett., vol. 9, pp. 468-470, 1984   DOI
8 N. J. Smith and N. J. Doran, 'Modulational instabilities in fibers with periodic dispersion management,' Opt. Lett., vol. 21, pp. 570-572, 1996   DOI
9 V. Chernyak, M. Chertkov, I. Gabitov, I. Kolokolov, and V. Lebedev, 'PMD-Induced Fluctuations of Bit-Error Rate in Optical Fiber Systems,' J. Lightwave Technol., vol. 22, pp. 1155-1168, 2004   DOI   ScienceOn
10 N. J. Smith, N. J. Doran, W. Forysiak, and F. M. Knox, 'Soliton Transmission Using Periodic Dispersion Compensation,' J. Lightwave Technol., vol. 15, pp. 1808-1822, 1997   DOI   ScienceOn
11 M. Nakazawa, H. Kubota, A. Sahara, and K. Tamura, 'Marked Increase in the Power Margin Through the Use of a Dispersion-Allocated Soliton,' IEEE Photon. Technol. Lett., vol. 8, pp. 1088-1090, 1996   DOI   ScienceOn
12 J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, 'Energy enhancement of dispersion-managed solitons and WDM,' Electron. Lett., vol. 34, pp, 481-482, 1998   DOI   ScienceOn
13 P. Kaewplung, T. Angkaew, and K. Kikuchi, 'Complete Analysis of Sideband Instability in Chain of Periodic Dispersion-Managed Fiber Link and Its Effect on Higher Order Dispersion-Managed Long-Haul Wavelength-Division Multiplexed Systems,' J. Lightwave Technol., vol. 20, pp. 1895-1907, 2002   DOI   ScienceOn
14 C. Xie, M. Karlsson, and P. A. Andrekson, 'Soliton Robustness to the Polarization-Mode Dispersion in Optocal Fibers,' IEEE Photon. Technol. Lett., vol. 12, pp. 801-803, 2000   DOI   ScienceOn
15 H. Sunnerud, J. Li, C. Xie, and P. A. Andrekson, 'Experimental Quantification of Soliton Robustness to Polarization Mode Dispersion in Conventional and Dispersion-Managed Systems,' J. Lightwave Technol., vol. 19, pp. 1453-1461, 2001   DOI   ScienceOn