{
  "annotation_id": "0a5e8c52-a50c-4d09-85b1-1b87bb209b03",
  "date_created": "2026-03-02T18:00:39.489000Z",
  "date_modified": "2026-03-02T18:00:39.489000Z",
  "file_hash": "5bd2ad7e8eee9329b5baa65ffd9ddf023eef86d5aa3c66c179fbf7ded856e451",
  "private": false,
  "record": {
    "abstract": "We introduce fractional Brownian motion processes (fBm) as an alternative\nmodel for the turbulent index of refraction. These processes allow to\nreconstruct most of the index properties, but they are not differentiable. We\novercome the apparent impossibility of their use in the variational equation\ncoming from the Fermat\u0027s Principle with the introduction of a Stochastic\nCalculus. Afterwards, we successfully provide a solution for the stochastic ray\nequation; moreover, its implications in the statistical analysis of\nexperimental data is discussed.",
    "arxiv_id": "physics/0207076",
    "authors": [
      "Dario G Perez"
    ],
    "categories": [
      "physics.optics",
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "title": "The fractional Brownian motion property of the turbulent refractive   index and the Fermat\u0027s Extremal Principle",
    "url": "https://arxiv.org/abs/physics/0207076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4dd73211-8c17-40a1-91a0-105d69d065a9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}