{
  "annotation_id": "b505b5d0-bcc1-4da9-a1e9-0ff9f67199f8",
  "date_created": "2026-03-02T18:01:21.637000Z",
  "date_modified": "2026-03-02T18:01:21.637000Z",
  "file_hash": "08424cd2059445ccacaaad22159517ac1f40a83d44aa1b187ff101fdc93a0c8d",
  "private": false,
  "record": {
    "abstract": "A phase space description of the fractional Talbot effect, occurring in a\none-dimensional Fresnel diffraction from a periodic grating, is presented.\nUsing the phase space formalism a compact summation formula for the Wigner\nfunction at rational multiples of the Talbot distance is derived. The summation\nformula shows that the fractional Talbot image in the phase space is generated\nby a finite sum of spatially displaced Wigner functions of the source field.",
    "arxiv_id": "physics/9711004",
    "authors": [
      "Konrad Banaszek",
      "Krzysztof Wodkiewicz",
      "Wolfgang P. Schleich"
    ],
    "categories": [
      "physics.optics",
      "quant-ph"
    ],
    "doi": "10.1364/OE.2.000169",
    "journal_ref": "Optics Express 2, 169-172 (1998)",
    "title": "Fractional Talbot effect in phase space: A compact summation formula",
    "url": "https://arxiv.org/abs/physics/9711004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "791fa5a1-6c1b-4a68-84f5-e2f8984b7a05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}