Abstract
Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its interference with an echo pulse generated due to the nonlinear interaction of signal pulses in a fiber optic system excited by a partially coherent source is obtained. The analytical results show that the mean nonlinear distortion decreases as the coherence time of the source reduces is consistent with our numerical simulations.
Highlights
As an optical pulse propagates in a fiber, it broadens due to dispersion [1,2]
Our results show that for dispersion unmanaged (DU) systems, as the spectral width of the source changes from 2 kHz to 2 GHz, the mean nonlinear distortion drops by 14% whereas for dispersion managed (DM) systems, it hardly changes
We have investigated the stochastic power fluctuations in a dispersion-managed fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source
Summary
As an optical pulse propagates in a fiber, it broadens due to dispersion [1,2]. When the fiber is excited by a partially coherent source, the pulse undergoes additional broadening and the amount of broaderning depends on the degree of coherence of the source. We analyze the nonlinear interaction of signal pulses in a highly dispersive fiber system excited by a partially coherent source and develop an analytical expression for the evolution of the echo pulse, when the source correlation function and signal pulse shape are both Gaussian. Our results show that for DU systems, as the spectral width of the source changes from 2 kHz (coherence time = 1 ms) to 2 GHz (coherence time = 1 ns), the mean nonlinear distortion drops by 14% whereas for DM systems, it hardly changes. For DU systems, the pulses broaden a lot over the long haul fiber optic link and a signal pulse centered at t=0 s interacts nonlinearly with signal pulses located upto 150 bit slots (i.e. upto 6 ns) on either side.
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