Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem |
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Authors: | S. Boscolo S. A. Derevyanko S. K. Turitsyn A. S. Kovalev M. M. Bogdan |
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Affiliation: | (1) Photonics Research Group, School of Engineering and Applied Science, Aston University, Birmingham, B4 7ET, UK;(2) Verkin Institute for Low Temperature Physics and Engineering, 61103 Kharkov, Ukraine |
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Abstract: | We analyze the steady-state propagation of optical pulses in fiber transmission systems with lumped nonlinear optical devices (NODs) placed periodically in the line. For the first time to our knowledge, a theoretical model is developed to describe the transmission regime with a quasilinear pulse evolution along the transmission line and the point action of NODs. We formulate the mapping problem for pulse propagation in a unit cell of the line and show that in the particular application to nonlinear optical loop mirrors, the steady-state pulse characteristics predicted by the theory accurately reproduce the results of direct numerical simulations. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 2, pp. 277–289, August, 2005. |
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Keywords: | dispersive systems with point nonlinearity mapping problem autosolitons |
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