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

Green, AG; Littlewood, PB; Mitra, PP; Wegener, LGL; (2002) Schrodinger equation with a spatially and temporally random potential: Effects of cross-phase modulation in optical communication. Physical Review E , 66 (4) , Article 046627. 10.1103/PhysRevE.66.046627. Green open access

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Abstract

We model the effects of cross-phase modulation in frequency (or wavelength) division multiplexed optical communications systems, using a Schrodinger 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.

Type: Article
Title: Schrodinger equation with a spatially and temporally random potential: Effects of cross-phase modulation in optical communication
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.66.046627
Publisher version: http://dx.doi.org/10.1103/PhysRevE.66.046627
Language: English
Additional information: © APS 2002
Keywords: Lightwave systems, Amplifiers, Transmission, Solitons, Noise
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/1333471
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