{
  "annotation_id": "1dd174dd-fc67-4916-a334-d48327f83a5b",
  "date_created": "2026-03-02T18:02:44.191000Z",
  "date_modified": "2026-03-02T18:02:44.191000Z",
  "file_hash": "907027270b12acccea9a274d2ca26a8ad2239c1e3242c5b999a8ed0c7f910a20",
  "private": false,
  "record": {
    "abstract": "When a surface wave interacts with a vertical vortex in shallow water the\nlatter induces a dislocation in the incident wavefronts that is analogous to\nwhat happens in the Aharonov-Bohm effect for the scattering of electrons by a\nconfined magnetic field. In addition to this global similarity between these\ntwo physical systems there is scattering. This paper reports a detailed\ncalculation of this scattering, which is quantitatively different from the\nelectronic case in that a surface wave penetrates the inside of a vortex while\nelectrons do not penetrate a solenoid. This difference, together with an\nadditional difference in the equations that govern both physical systems lead\nto a quite different scattering in the case of surface waves, whose main\ncharacteristic is a strong asymmetry in the scattering cross section. The\nassumptions and approximations under which these effects happen are carefully\nconsidered, and their applicability to the case of scattering of acoustic waves\nby vorticity is noted.",
    "arxiv_id": "quant-ph/9812054",
    "authors": [
      "Christophe Coste",
      "Makoto Umeki",
      "Fernando Lund"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.60.4908",
    "journal_ref": "Phys.Rev. E60 (1999) 4908-4916",
    "title": "Scattering of dislocated wavefronts by vertical vorticity and the   Aharonov-Bohm effect I: Shallow water",
    "url": "https://arxiv.org/abs/quant-ph/9812054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "56cb5789-4699-482b-8fcf-af40740b4cbc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}