{
  "annotation_id": "a7631fbe-97d6-4683-a07c-525830839112",
  "date_created": "2026-03-02T18:00:46.960000Z",
  "date_modified": "2026-03-02T18:00:46.960000Z",
  "file_hash": "73c5cbd2b226d8f35d40f09e917255b1be4e3de6bfd88ff785eb8affefc850dc",
  "private": false,
  "record": {
    "abstract": "We propose a method derived from the simple plane wave expansion that can\neasily solve the interface problem between vacuum and a semi-infinite photonic\ncrystal. The method is designed to find the complete set of all the\neigenfunctions, propagating or evanescent, of the translation operators $\\{{\\bf\nT_R} \\}$, at a fixed frequency. With these eigenfunctions and their\neigenvalues, the transmitted and reflected waves can be determined. Two kinds\nof applications are presented for 2D photonic crystals. The first is a\nselection rule for determine the normal direction of the vacuum-photonic\ncrystal interface to achieve the highest attenuation effect at a gap frequency.\nThe second is to calculate the transmittance and reflectance for a light\nincident from vacuum to an semi-infinite photonic crystal. As an example we\nrecalculate a system studied previously by K. Sakoda et al. and get results in\nagreement with theirs.",
    "arxiv_id": "physics/0307150",
    "authors": [
      "Young-Chung Hsue",
      "Tzong-Jer Yang"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.optics"
    ],
    "doi": "10.1103/PhysRevE.70.016706",
    "title": "A novel view of plane wave expansion method in photonic crystals",
    "url": "https://arxiv.org/abs/physics/0307150"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "45d5d44d-7821-4612-82fb-2504f77b8183",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}