{
  "annotation_id": "5324cef6-c467-42cb-977c-943b2103e809",
  "date_created": "2026-03-02T18:00:56.451000Z",
  "date_modified": "2026-03-02T18:00:56.451000Z",
  "file_hash": "5ebc766bf9c2bd9b991cbf7a273fb608466907c4aea2030b0c8c190550ec7982",
  "private": false,
  "record": {
    "abstract": "We consider a nonlinear optical system in general, and a broad aperture laser\nin particular in a resonator where the diffraction coefficients are of opposite\nsigns along two transverse directions. The system is described by the\nhyperbolic Maxwell-Bloch equations, where the spatial coupling is provided by\nthe DAlambert operator rather than by the Laplace operator. We show that this\nsystem supports hyperbolic transverse patterns residing on hyperbolas in far\nfield domain, and consisting of stretched vortices in near field domain. These\nstructures are described analytically by normal form analysis, and investigated\nnumerically.",
    "arxiv_id": "physics/0501116",
    "authors": [
      "K. Staliunas",
      "M. Tlidi"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1103/PhysRevLett.94.133902",
    "title": "Hyperbolic Transverse Patterns in Nonlinear Optical Resonators",
    "url": "https://arxiv.org/abs/physics/0501116"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9cde996f-6b42-4250-a9e8-229c6214bf41",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}