dorsal/arxiv
View SchemaSchrodinger equation with a spatially and temporally random potential: Effects of cross-phase modulation in optical communication
| Authors | A. G. Green, P. B. Littlewood, P. P. Mitra, L. G. L. Wegener |
|---|---|
| Categories | |
| ArXiv ID | physics/0210062 |
| URL | https://arxiv.org/abs/physics/0210062 |
| DOI | 10.1103/PhysRevE.66.046627 |
| Journal | Phys. Rev. E 66, 046627 (2002) |
Abstract
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.
{
"annotation_id": "8cebe833-1de9-42db-a363-52afe6df570b",
"date_created": "2026-03-02T18:00:42.160000Z",
"date_modified": "2026-03-02T18:00:42.160000Z",
"file_hash": "e41c043cf3eab5a0830d8e855fb12749be83ba65c57497da626b3d162d80dcf7",
"private": false,
"record": {
"abstract": "We model the effects of cross-phase modulation in frequency (or wavelength)\ndivision multiplexed optical communications systems, using a Schr\\\"odinger\nequation with a spatially and temporally random potential. Green\u0027s functions\nfor the propagation of light in this system are calculated using Feynman\npath-integral and diagrammatic techniques. This propagation leads to a\nnon-Gaussian joint distribution of the input and output optical fields. We use\nthese results to determine the amplitude and timing jitter of a signal pulse\nand to estimate the system capacity in analog communication.",
"arxiv_id": "physics/0210062",
"authors": [
"A. G. Green",
"P. B. Littlewood",
"P. P. Mitra",
"L. G. L. Wegener"
],
"categories": [
"physics.optics",
"cond-mat",
"physics.data-an",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevE.66.046627",
"journal_ref": "Phys. Rev. E 66, 046627 (2002)",
"title": "Schrodinger equation with a spatially and temporally random potential: Effects of cross-phase modulation in optical communication",
"url": "https://arxiv.org/abs/physics/0210062"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a3b5936a-be9f-465f-9103-08729a7d3b7d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}