{
  "annotation_id": "c23c52cb-c758-48b9-81a6-512badd1e3b6",
  "date_created": "2026-03-02T18:01:00.067000Z",
  "date_modified": "2026-03-02T18:01:00.067000Z",
  "file_hash": "bed73adc6d3a5536c1d172632a68359becfd19029e8d13ffaf4c0bfa5706e584",
  "private": false,
  "record": {
    "abstract": "We consider the radiation transfer problem in the discrete-ordinate,\nplane-parallel approach. We introduce two benchmark problems with exact known\nsolutions and show that for strongly non-homogeneous media the homogeneous\nlayers approximation can lead to errors of 10% in the estimation of the\nintensity. We propose and validate a general purpose numerical method that\ntransforming the two-boundary problem into an initial boundary problem, using\nan adaptative step integration and an interpolation of the local optical\nproperties, can improve the accuracy of the solution up to two orders of\nmagnitude. This is furthermore of interest for practical applications, such as\natmospheric radiation transfer, where the scattering and absorbing properties\nof the media vary strongly with height and are only known, based on\nmeasurements or models, at certain discrete points.",
    "arxiv_id": "physics/0507057",
    "authors": [
      "M. -P. Zorzano",
      "A. M. Mancho",
      "L. Vazquez"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.ao-ph"
    ],
    "doi": "10.1016/j.amc.20004.06.024",
    "journal_ref": "Applied Mathematics and Computation 164 (2005) 263-274",
    "title": "Numerical integration of the discrete-ordinate radiative transfer   equation in strongly non homogeneous media",
    "url": "https://arxiv.org/abs/physics/0507057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2261bc1e-72e6-4367-856f-f41e7ce8bee4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}