{
  "annotation_id": "b9a6c1b1-ed6c-49f2-a8e4-dac824b21ff5",
  "date_created": "2026-03-02T18:01:00.209000Z",
  "date_modified": "2026-03-02T18:01:00.209000Z",
  "file_hash": "bac2921d3993edf8eaff2083119a54f5abfd35569210ded595def28fb6855de1",
  "private": false,
  "record": {
    "abstract": "The geometric representation at a fixed frequency of the wavevector (or\ndispersion) surface $\\omega(\\vec k)$ for lossless, homogeneous\ndielectric--magnetic uniaxial materials is explored, when the elements of the\nrelative permittivity and permeability tensors of the material can have any\nsign. Electromagnetic plane waves propagating inside the material can exhibit\ndispersion surfaces in the form of ellipsoids of revolution, hyperboloids of\none sheet, or hyperboloids of two sheets. Furthermore, depending on the\nrelative orientation of the optic axis, the intersections of these surfaces\nwith fixed planes of propagation can be circles, ellipses, hyperbolas, or\nstraight lines. The obtained understanding is used to study the reflection and\nrefraction of electromagnetic plane waves due to a planar interface with an\nisotropic medium.",
    "arxiv_id": "physics/0508235",
    "authors": [
      "Ricardo A. Depine",
      "Marina E. Inchaussandague",
      "Akhlesh Lakhtakia"
    ],
    "categories": [
      "physics.optics",
      "physics.class-ph"
    ],
    "doi": "10.1364/JOSAA.23.000949",
    "title": "Classification of dispersion equations for homogeneous   dielectric-magnetic uniaxial materials",
    "url": "https://arxiv.org/abs/physics/0508235"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec36ee17-1c80-44d1-bcc7-bcf79561356f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}