{
  "annotation_id": "c5c2233c-fca0-4435-81da-9cf6f930f9e9",
  "date_created": "2026-03-02T18:00:43.463000Z",
  "date_modified": "2026-03-02T18:00:43.463000Z",
  "file_hash": "f1fabd67c39ad81932564916c6b15775e2436fa410d65242e6afb671d8e59e8f",
  "private": false,
  "record": {
    "abstract": "The asymptotic probability density function of nonlinear phase noise, often\ncalled the Gordon-Mollenauer effect, is derived analytically when the number of\nfiber spans is very large. The nonlinear phase noise is the summation of\ninfinitely many independently distributed noncentral chi-square random\nvariables with two degrees of freedom. The mean and standard deviation of those\nrandom variables are both proportional to the square of the reciprocal of all\nodd natural numbers. The nonlinear phase noise can also be accurately modeled\nas the summation of a noncentral chi-square random variable with two degrees of\nfreedom and a Gaussian random variable.",
    "arxiv_id": "physics/0301067",
    "authors": [
      "Keang-Po Ho"
    ],
    "categories": [
      "physics.optics",
      "physics.data-an"
    ],
    "doi": "10.1364/OL.28.001350",
    "journal_ref": "Optics Letters, vol. 28, pp. 1350-1352, 2003",
    "title": "Asymptotic Probability Density Function of Nonlinear Phase Noise",
    "url": "https://arxiv.org/abs/physics/0301067"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd224521-b194-4e6f-a6e9-f0f7f92bef61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}