{
  "annotation_id": "e52af321-c797-40ea-bd2f-e568141384dd",
  "date_created": "2026-03-02T18:01:11.221000Z",
  "date_modified": "2026-03-02T18:01:11.221000Z",
  "file_hash": "95586585ccf53cead9ee400d863092b9828451d34ce28bc788a0cb363c057897",
  "private": false,
  "record": {
    "abstract": "We consider photonic crystal fibres (PCFs) made from arbitrary base materials\nand introduce a short-wavelength approximation which allows for a mapping of\nthe Maxwell\u0027s equations onto a dimensionless eigenvalue equations which has the\nform of the Schrodinger equation in quantum mechanics. The mapping allows for\nan entire analytical solution of the dispersion problem which is in qualitative\nagreement with plane-wave simulations of the Maxwell\u0027s equations for large-mode\narea PCFs. We offer a new angle on the foundation of the endlessly single-mode\nproperty and show that PCFs are endlessly single mode for a normalized air-hole\ndiameter smaller than ~0.42, independently of the base material. Finally, we\nshow how the group-velocity dispersion relates simply to the geometry of the\nphotonic crystal cladding.",
    "arxiv_id": "physics/0608143",
    "authors": [
      "Niels Asger Mortensen"
    ],
    "categories": [
      "physics.optics",
      "cond-mat.mes-hall"
    ],
    "doi": "10.2971/jeos.2006.06009",
    "journal_ref": "J. Eur. Opt. Soc., Rapid Publ. 1, 06009 (2006)",
    "title": "Photonic crystal fibres: mapping Maxwell\u0027s equations onto a Schrodinger   equation eigenvalue problem",
    "url": "https://arxiv.org/abs/physics/0608143"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09d96abf-2dc2-4601-b9ec-4c7ce86524ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}