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

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

2002-10-16

arxiv.org/abs/physics/0210062v1

Phys. Rev. E 66, 046627 (2002)

Physics

Optics

13 pages, 5 figures

Scientific paper

10.1103/PhysRevE.66.046627

We model the effects of cross-phase modulation in frequency (or wavelength) division multiplexed optical communications systems, using a Schr\"odinger 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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