{
  "annotation_id": "c712149e-5e77-4d40-9bb4-cd109b4c94cb",
  "date_created": "2026-03-02T18:00:39.767000Z",
  "date_modified": "2026-03-02T18:00:39.767000Z",
  "file_hash": "37cc7621da7b22017c81d28b9dbe1b492a15aea70af21c574071c82ec6213957",
  "private": false,
  "record": {
    "abstract": "The Foldy-Wouthuysen iterative diagonalization technique is applied to the\nHelmholtz equation to obtain a Hamiltonian description of the propagation of a\nmonochromatic quasiparaxial light beam through a system in which the refractive\nindex $n(x,y,z)$ varies about a background value $n_0$ such that\n$|n(x,y,z)-n_0| \\ll n_0$. This technique is presented as an alternative to the\nconventional method of series expansion of the radical. Besides reproducing all\nthe traditional quasiparaxial terms, this method leads to additional terms in\nthe optical Hamiltonian.",
    "arxiv_id": "physics/0209082",
    "authors": [
      "Sameen Ahmed Khan",
      "Ramaswamy Jagannathan",
      "Rajiah Simon"
    ],
    "categories": [
      "physics.optics",
      "physics.acc-ph",
      "physics.gen-ph",
      "quant-ph"
    ],
    "title": "Foldy-Wouthuysen transformation and a quasiparaxial approximation scheme   for the scalar wave theory of light beams",
    "url": "https://arxiv.org/abs/physics/0209082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d7dbbc7-5057-416d-a14f-dccb7ca56f87",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}