{
  "annotation_id": "902021b4-3c84-493f-acc9-605ec819780e",
  "date_created": "2026-03-02T18:00:46.505000Z",
  "date_modified": "2026-03-02T18:00:46.505000Z",
  "file_hash": "7df8eb366e5ebe6bb28ee1c78230f8f7130a5b02b5f0b2e17e0f79793159d409",
  "private": false,
  "record": {
    "abstract": "First, we make a revision of the up-to-date Passive Scalar Fields properties:\nalso, the refractive index is among them. Afterwards, we formulated the\nproperties that make the family of `isotropic\u0027 fractional Brownian motion (with\nparameter H) a good candidate to simulate the turbulent refractive index.\nMoreover, we obtained its fractal dimension which matches the estimated by\nConstantin for passive scalar, and thus the parameter H determines the state of\nthe turbulence.\n  Next, using a path integral velocity representation, with the Markovian\nmodel, to calculate the effects of the turbulence over a system of grids.\n  Finally, with the tools of Stochastic Calculus for fractional Brownian\nmotions we studied the ray-equation coming from the Geometric Optics in the\nturbulent case. Our analysis covers those cases where average temperature\ngradients are relevant.",
    "arxiv_id": "physics/0307144",
    "authors": [
      "Dario G. Perez"
    ],
    "categories": [
      "physics.optics",
      "physics.ao-ph",
      "physics.data-an",
      "physics.flu-dyn"
    ],
    "title": "Light Propagation in Turbulent Media",
    "url": "https://arxiv.org/abs/physics/0307144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "36631fc7-8ece-4bed-bef5-f5a054056706",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}