Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem

Boscolo, Sonia, Derevyanko, Stanislav A., Turitsyn, Sergei K., Kovalev, Alexander S. and Bogdan, M.M. (2005). Evolution of optical pulses in fiber lines with lumped nonlinear devices as a mapping problem. Theoretical and mathematical physics, 144 (2), pp. 1117-1127.

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.

Uncontrolled Keywords: dispersive systems with point nonlinearity, mapping problem, autosolitons
Published Date: 2005-08
Authors: Boscolo, Sonia
Derevyanko, Stanislav A.
Turitsyn, Sergei K.
Kovalev, Alexander S.
Bogdan, M.M.

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