{
  "annotation_id": "7b289630-eae7-4dbd-90f3-21634cba311d",
  "date_created": "2026-03-02T18:00:46.730000Z",
  "date_modified": "2026-03-02T18:00:46.730000Z",
  "file_hash": "af38be6a159c74187ede7bfbc6428b59e1a49caf87e7b8edbd25d5920dc84f9e",
  "private": false,
  "record": {
    "abstract": "In recent experiments, localized and stationary pulses have been generated in\nsecond-order nonlinear processes with femtosecond pulses, whose asymptotic\nfeatures relate with those of nondiffracting and nondispersing polychromatic\nBessel beams in linear dispersive media. We investigate on the nature of these\nlinear waves, and show that they can be identified with the X-shaped (O-shaped)\nmodes of the hyperbolic (elliptic) wave equation in media with normal\n(anomalous) dispersion. Depending on the relative strengths of mode phase\nmismatch, group velocity mismatch with respect to a plane pulse, and of the\ndefeated group velocity dispersion, these modes can adopt the form of pulsed\nBessel beams, focus wave modes, and X-waves (O-waves), respectively.",
    "arxiv_id": "physics/0309084",
    "authors": [
      "Miguel A. Porras",
      "Paolo Di Trapani"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1103/PhysRevE.69.066606",
    "title": "Localized and stationary light wave modes in dispersive media",
    "url": "https://arxiv.org/abs/physics/0309084"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "395a5724-fa56-4f7e-86a2-c5e87aedd0bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}