{
  "annotation_id": "d5edab43-6c3c-438f-b804-3d44a554a19b",
  "date_created": "2026-03-02T18:00:46.676000Z",
  "date_modified": "2026-03-02T18:00:46.676000Z",
  "file_hash": "91ae2cf3a192e7d9da717e3edc33db22a9b1f598d955108d3d033641d0bf2bf4",
  "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 refractive index properties, but they are not\ndifferentiable. We overcome the apparent impossibility of their use within the\nRay Optics approximation introducing a Stochastic Calculus. Afterwards, we\nsuccessfully provide a solution for the stochastic ray-equation; moreover, its\nimplications in the statistical analysis of experimental data is discussed. In\nparticular, we analyze the dependence of the averaged solution against the\ncharacteristic variables of a simple propagation problem.",
    "arxiv_id": "physics/0306183",
    "authors": [
      "Dario G. Perez"
    ],
    "categories": [
      "physics.optics",
      "physics.ao-ph"
    ],
    "title": "The fractional Brownian motion property of the turbulent refractive   within Geometric Optics",
    "url": "https://arxiv.org/abs/physics/0306183"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df7170b4-0bba-489a-a2ee-ba5102c6d628",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}