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

Andrew Green, PB Littlewood, P Mitra, LG Wegener

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13 Citations (Scopus)

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.
Original languageEnglish
Article number046627
JournalPhysical Review. E, Statistical, nonlinear, and soft matter physics
Volume66
Issue number4
DOIs
Publication statusPublished - Oct 2002

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