{
  "annotation_id": "38eaa00e-473e-4303-8f41-19090146bd7f",
  "date_created": "2026-03-02T18:01:14.203000Z",
  "date_modified": "2026-03-02T18:01:14.203000Z",
  "file_hash": "330d5b3447b9f816ae41f2aff19d149eba99b49024706794744cf472ed17b927",
  "private": false,
  "record": {
    "abstract": "Electromagnetic localization and existence of gap solitons in nonlinear\nmetamaterials, which exhibit a stop band in their linear spectral response, is\ntheoretically investigated. For a self-focusing Kerr nonlinearity, the equation\nfor the electric field envelope with carrier frequency in the stop band - where\nthe magnetic permeability $\\mu(\\omega)$ is positive and the dielectric\npermittivity $\\epsilon(\\omega)$ is negative - is described by a nonlinear\nKlein-Gordon equation with a dispersive nonlinear term. A family of standing\nand moving localized waves for both electric and magnetic fields is found, and\nthe role played by the nonlinear dispersive term on solitary wave stability is\ndiscussed.",
    "arxiv_id": "physics/0611149",
    "authors": [
      "Stefano Longhi"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1080/17455030500053294",
    "journal_ref": "S. Longhi, Waves in Random and Complex Media 15, 119-126 (2005)",
    "title": "Gap solitons in metamaterials",
    "url": "https://arxiv.org/abs/physics/0611149"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1ac676f-1488-4ee7-9d16-e49fdd6a88c0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}