{
  "annotation_id": "83e329d2-3f8f-4cd5-b0b7-871104d33066",
  "date_created": "2026-03-02T18:00:52.894000Z",
  "date_modified": "2026-03-02T18:00:52.894000Z",
  "file_hash": "f2e6709c76ed7053500d59096d08a7958965b1826ae80516879c70bf6d0654bd",
  "private": false,
  "record": {
    "abstract": "We derive coupled nonlinear Schr\\\"{o}dinger equation (CNLSE) for arbitrary\npolarized light propagation in a single-mode fiber. We introduce a basis of\ntransverse eigen modes with the appropriate projecting hence solutions depend\non the waveguide geometry. Considering a weak nonlinearity which is connected\nwith Kerr effect, we give explicit expressions for nonlinear constants via\nintegrals of Bessel functions. We compare numerical results for the nonlinear\nconstant extracted from experimental observations of a soliton for the\nnonlinear Schr\\\"{o}dinger equation (NLSE) (single-mode one). The method of\nprojecting we use allows a direct generalization to multi-mode fiber case.",
    "arxiv_id": "physics/0411255",
    "authors": [
      "S. B. Leble",
      "B. Reichel"
    ],
    "categories": [
      "physics.optics"
    ],
    "title": "Polarization mode interaction equations in optical fibers with Kerr   effect",
    "url": "https://arxiv.org/abs/physics/0411255"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e6c0ad6-d4ce-49de-b75d-d93a5b64b619",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}