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Schrodinger equation with a spatially and temporally random potential: Effects of cross-phase modulation in optical communication

A. G. Green·P. B. Littlewood·P. P. Mitra·L. G. L. Wegener
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Abstract

We model the effects of cross-phase modulation in frequency (or wavelength) division multiplexed optical communications systems, using a Schrödinger equation with a spatially and temporally random potential. Green's functions for the propagation of light in this system are calculated using Feynman path-integral and diagrammatic techniques. This propagation leads to a non-Gaussian joint distribution of the input and output optical fields. We use these results to determine the amplitude and timing jitter of a signal pulse and to estimate the system capacity in analog communication.

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A. G. Green, P. B. Littlewood, P. P. Mitra, L. G. L. Wegener. 2002-10-16. Schrodinger equation with a spatially and temporally random potential: Effects of cross-phase modulation in optical communication. https://doi.org/10.1103/physreve.66.046627

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