Geodesic
Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 277-289

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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.
Keywords: dispersive systems with point nonlinearity, mapping problem
Mots-clés : autosolitons. 
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     author = {S. Boscolo and S. A. Derevyanko and S. K. Turitsyn and A. S. Kovalev and M. M. Bogdan},
     title = {Evolution of {Optical} {Pulses} in {Fiber} {Lines} with {Lumped} {Nonlinear} {Devices} as a {Mapping} {Problem}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {277--289},
     publisher = {mathdoc},
     volume = {144},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a4/}
}
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S. Boscolo; S. A. Derevyanko; S. K. Turitsyn; A. S. Kovalev; M. M. Bogdan. Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 277-289. http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a4/