{
  "annotation_id": "83892fe9-4966-48d6-b7a1-24801c131340",
  "date_created": "2026-03-02T18:01:00.407000Z",
  "date_modified": "2026-03-02T18:01:00.407000Z",
  "file_hash": "e1e541d688405d0a4d13b1edfe7f6550866793dd25624215df6d24d2c3ced032",
  "private": false,
  "record": {
    "abstract": "In this paper we present a systematic study of photonic bandgap engineering\nusing aperiodic lattices (ALs). Up to now ALs have tended to be defined by\nspecific formulae (e.g. Fibonacci, Cantor), and theories have neglected other\nuseful ALs along with the vast majority of non-useful (random) ALs. Here, we\npresent a practical and efficient Fourier space-based general theory to\nidentify all those ALs having useful band properties, which are characterized\nby well-defined Fourier (i.e. lattice momentum) components. Direct control of\nfield localization comes via control of the Parseval strength competition\nbetween the different Fourier components characterizing a lattice. Real-space\noptimization of ALs tends to be computationally demanding. However, via our\nFourier space-based simulated annealing inverse optimization algorithm, we\nefficiently tailor the relative strength of the AL Fourier components for\nprecise control of photonic band and localization properties.",
    "arxiv_id": "physics/0509227",
    "authors": [
      "Subhasish Chakraborty",
      "Michael C. Parker",
      "Robert J. Mears"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1016/j.photonics.2005.09.011",
    "title": "A Fourier (k-) space design approach for controllable photonic band and   localization states in aperiodic lattices",
    "url": "https://arxiv.org/abs/physics/0509227"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ef56d3ae-f42c-4dc6-b655-d8a12f07ac0d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}