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Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem


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.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 2, pp. 277–289, August, 2005.

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Boscolo, S., Derevyanko, S.A., Turitsyn, S.K. et al. Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem. Theor Math Phys 144, 1117–1127 (2005).

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  • dispersive systems with point nonlinearity
  • mapping problem
  • autosolitons