Abstract
Short range correlated uniform noise in the dispersion coefficient, inherent in many types of optical fibers, broadens and eventually destroys all initially ultra-short pulses. However, under the constraint that the integral of the random component of the dispersion coefficient is set to zero (pinned), periodically or quasi-periodically along the fiber, the dynamics of the pulse propagation changes dramatically. For the case that randomness is present on top of constant positive dispersion, the pinning restriction significantly reduces average pulse broadening. If the randomness is present on top of piecewise constant periodic dispersion, the pinning may even provide probability distributions of pulse parameters that are numerically indistinguishable from the statistically steady case. The pinning method can be used to both manufacture better fibers and upgrade existing fiber links.
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Movies of single realization dynamics in z, comparative plot of the dispersion profile with and without compensation, and more figures characterizing statistics of the pulse propagation (in the various cases considered) are available at http:/cnls.lanl.gov/∼chertkov/Fiber.
Notice that for the case with the same pinning period l = 1 but greater D = 2.5, a minor, but still observable degradation of pulse occurred. This is consistent with the statement concerning the efficiency of the pinning made in the text: the greater D, the lower the critical pinning period.
Real fiber spans, usually each of length 0.5 — 2 ZNL, are not homogeneous, as they are often produced at different times by different companies.
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Chertkov, M., Gabitov, I., Moeser, J. (2001). Pulse Confinement in Optical Fibers with Random Dispersion. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_2
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DOI: https://doi.org/10.1007/978-94-010-0542-5_2
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