{
  "annotation_id": "471a9db9-6b06-4191-bdd5-a60f1a16fe1c",
  "date_created": "2026-03-02T18:02:44.968000Z",
  "date_modified": "2026-03-02T18:02:44.968000Z",
  "file_hash": "3e832591115e38a50d8ed7d99587d62b854a9e2f1abef0e21f2531226750dd19",
  "private": false,
  "record": {
    "abstract": "Previous results on the scattering of surface waves by vertical vorticity on\nshallow water are generalized to the case of dispersive water waves. Dispersion\neffects are treated perturbatively around the shallow water limit, to first\norder in the ratio of depth to wavelength. The dislocation of the incident\nwavefront, analogous to the Aharonov-Bohm effect, is still observed. At short\nwavelengths the scattering is qualitatively similar to the nondispersive case.\nAt moderate wavelengths, however, there are two markedly different scattering\nregimes according to wether the capillary length is smaller or larger than\n$\\sqrt{3}$ times depth. The dislocation is characterized by a parameter that\ndepends both on phase and group velocity. The validity range of the calculation\nis the same as in the shallow water case: wavelengths small compared to vortex\nradius, and low Mach number. The implications of these limitations are\ncarefully considered.",
    "arxiv_id": "quant-ph/9812055",
    "authors": [
      "Christophe Coste",
      "Fernando Lund"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.60.4917",
    "journal_ref": "Phys.Rev. E60 (1999) 4917-4925",
    "title": "Scattering of dislocated wavefronts by vertical vorticity and the   Aharonov-Bohm effect II: Dispersive waves",
    "url": "https://arxiv.org/abs/quant-ph/9812055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c383663-4b89-4301-a0b8-a17adc20420a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}