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Approximate analytical formulas for root mean square pulse width evolution in fiber systems using chained optical amplifiers are derived in this paper. Effects of group velocity dispersion (GVD) and self-phase modulation (SPM) are taken into account, and the system may have axially varying parameters, such as uneven fiber dispersion including dispersion management, nonequal amplifier spacing as well as output power, etc. It is shown that the analytical formulas can be applied to the design and analysis of a wide range of practical chained optical amplifier systems, and is helpful in the understanding of the pulse distortion caused by the interaction between SPM and GVD.
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Yu et al. (1997) studied this question.
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