{
  "annotation_id": "c0dbafa1-3af7-486b-ab85-3276a964f4dd",
  "date_created": "2026-03-02T18:00:28.673000Z",
  "date_modified": "2026-03-02T18:00:28.673000Z",
  "file_hash": "460372fa2779fca5831693559c14e6509fc9e21ae7e947ce868475cb1559d1f0",
  "private": false,
  "record": {
    "abstract": "We analyze two-component spatial optical vortex solitons supported by\nparametric wave mixing processes in a nonlinear bulk medium. We study two\ndistinct cases of such localised waves, namely, parametric vortex solitons due\nto phase-matched second-harmonic generation in an optical medium with competing\nquadratic and cubic nonlinear response, and vortex solitons in the presence of\nthird-harmonic generation in a cubic medium. We find, analytically and\nnumerically, the structure of two-component vortex solitons, and also\ninvestigate modulational instability of their plane-wave background. In\nparticular, we predict and analyze in detail novel types of vortex solitons, a\n`halo-vortex\u0027, consisting of a two-component vortex core surrounded by a bright\nring of its harmonic field, and a `ring-vortex\u0027 soliton which is a vortex in a\nharmonic field that guides a ring-like localized mode of the\nfundamental-frequency field.",
    "arxiv_id": "patt-sol/9904004",
    "authors": [
      "Tristram J. Alexander",
      "Yuri S. Kivshar",
      "Alexander V. Buryak",
      "Rowland A. Sammut"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.61.2042",
    "title": "Optical Vortex Solitons in Parametric Wave Mixing",
    "url": "https://arxiv.org/abs/patt-sol/9904004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "52328454-f3f0-4c89-a189-9a70b7e35c53",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}