{
  "annotation_id": "43246c68-4822-480f-bb80-57cfa127b5d7",
  "date_created": "2026-03-02T18:00:53.453000Z",
  "date_modified": "2026-03-02T18:00:53.453000Z",
  "file_hash": "1d870d347363cdd56166225b433ed90ef0d721ea18ced878ff27319de3616e8b",
  "private": false,
  "record": {
    "abstract": "Maxwell\u0027s equations for electrodynamics of dispersive and absorptive\n(passive) media are written in the form of the Schr\\\"odinger equation with a\nnon-Hermitian Hamiltonian. The Lanczos time-propagation scheme is modified to\ninclude non-Hermitian Hamiltonians and used, in combination with the Fourier\npseudospectral method, to solve the initial-value problem. The time-domain\nalgorithm developed is shown to be unconditionally stable. Variable time steps\nand/or variable computational costs per time step with error control are\npossible. The algorithm is applied to study transmission and reflection\nproperties of ionic crystal gratings with cylindric geometry in the infra-red\nrange.",
    "arxiv_id": "physics/0410271",
    "authors": [
      "Andrei G. Borisov",
      "Sergei V. Shabanov"
    ],
    "categories": [
      "physics.comp-ph",
      "cond-mat.mtrl-sci",
      "math.NA",
      "physics.optics"
    ],
    "title": "Lanczos Pseudospectral Propagation Method for Initial-Value Problems in   Electrodynamics of Passive Media",
    "url": "https://arxiv.org/abs/physics/0410271"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de093067-3233-4cc7-bdf5-aa9b34256689",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}