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Updated: Aug 9, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Schrödinger equation with a spatially and temporally random potential: effects of cross-phase modulation in optical
A G Green1, P B Littlewood, P P Mitra
1Theoretical Physics, Oxford University, United Kingdom.
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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