Abstract
We report the results of a detailed numerical analysis of stabilization provided by lumped notch filters against basic degradation factors in dense-wavelength-division-multiplexed (DWDM) soliton systems, which include the noise-induced timing jitter (Gordon–Haus effect), intrachannel interactions between solitons, and cross-talk effects due to interchannel soliton–soliton collisions, in the form of temporal shifts and loss of energy to the formation of shadows in the other channel. The filtering profile is a couple of rectangular notches that bound the transmission channel in the frequency domain. For typical values of parameters relevant to the DWDM systems, we show that the stabilization is quite efficient. The version of the model with distributed notch filtering also has a different realization in terms of spatial solitons in a planar waveguide equipped with a longitudinal grating.
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