{
  "annotation_id": "a99851c2-5fd6-4277-8835-34178b541f42",
  "date_created": "2026-03-02T18:00:46.923000Z",
  "date_modified": "2026-03-02T18:00:46.923000Z",
  "file_hash": "e6aa9efef9fc00f22e63d0217cf7148fc86d34a9b515898cce8f4906937169cb",
  "private": false,
  "record": {
    "abstract": "Nodal lines (phase singularities, optical vortices) are the generic\ninterference fringes of complex scalar waves. Here, an exact complex solution\nof the time independent wave equation (Helmholtz equation) is considered,\npossessing nodal lines which are braided in the form of a borromean, or\npig-tail braid. The braid field is a superposition of counterpropagating,\ncounterrotating, non-coaxial third order Bessel beams, and a plane wave whose\npropagation is perpendicular to that of the beams. The construction is\nstructurally stable, and can be generalized to a limited class of other braids.",
    "arxiv_id": "physics/0307139",
    "authors": [
      "M. R. Dennis"
    ],
    "categories": [
      "physics.optics",
      "physics.gen-ph"
    ],
    "doi": "10.1088/1367-2630/5/1/134",
    "journal_ref": "New Journal of Physics 5 (2003) 134.1-134.8",
    "title": "Braided nodal lines in wave superpositions",
    "url": "https://arxiv.org/abs/physics/0307139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "36071f24-633b-4a60-be67-c47f77ccc385",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}