{
  "annotation_id": "2f044984-9a8b-4017-98da-fc5806f36adb",
  "date_created": "2026-03-02T18:00:39.810000Z",
  "date_modified": "2026-03-02T18:00:39.810000Z",
  "file_hash": "18a1b93771f690f3e90bfd0c4f866a14baad7289b374716c1844953361a851c8",
  "private": false,
  "record": {
    "abstract": "We present an algorithm for the maximization of photonic bandgaps in\ntwo-dimensional crystals. Once the translational symmetries of the underlying\nstructure have been imposed, our algorithm finds a global maximal (and\ncomplete, if one exists) bandgap. Additionally, we prove two remarkable results\nrelated to maximal bandgaps: the so-called `maximum contrast\u0027 rule, and about\nthe location in the Brillouin zone of band edges.",
    "arxiv_id": "physics/0205091",
    "authors": [
      "Prabasaj Paul",
      "Francis C. Ndi"
    ],
    "categories": [
      "physics.optics"
    ],
    "title": "Maximizing bandgaps in two-dimensional photonic crystals: a variational   algorithm",
    "url": "https://arxiv.org/abs/physics/0205091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a32cfa8e-881d-4c4e-8dfe-3543950cef12",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}