{
  "annotation_id": "996ca5c8-b949-45f7-abc9-877499ac6283",
  "date_created": "2026-03-02T18:00:46.029000Z",
  "date_modified": "2026-03-02T18:00:46.029000Z",
  "file_hash": "268cfc59b8fa2b8eee6db11aa01f32e895293b954fa13ca708ff0856b5ce9d06",
  "private": false,
  "record": {
    "abstract": "It is shown that three-dimensional nonparaxial beams are described by the\noblate spheroidal exact solutions of the Helmholtz equation. For the first\ntime, their beam behaviour is investigated and their corresponding parameters\nare defined. Using the fact that the beam width of the family of paraxial\nGaussian beams is described by an hyperbola, the connection between the\nphysical parameters of nonparaxial spheroidal beam solutions and those of\nparaxial beams is formally stablished. These results are also helpful to\ninvestigate the exact vector nonparaxial beams.",
    "arxiv_id": "physics/0312040",
    "authors": [
      "G. Rodriguez-Morales",
      "S. Chavez-Cerda"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1364/OL.29.000430",
    "title": "Exact nonparaxial beams of the scalar Helmholtz equation",
    "url": "https://arxiv.org/abs/physics/0312040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "167e50aa-7343-4fb7-ba75-54a14e84c7aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}