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

@article{Green2002SchrdingerEW,
  title={Schr{\"o}dinger equation with a spatially and temporally random potential: effects of cross-phase modulation in optical communication.},
  author={Andrew G. Green and P. B. Littlewood and Partha P. Mitra and L G L Wegener},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={66 4 Pt 2},
  pages={046627}
}
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… CONTINUE READING

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