{
  "annotation_id": "51eac65e-be14-460e-a935-20c873b1fc15",
  "date_created": "2026-03-02T18:00:53.452000Z",
  "date_modified": "2026-03-02T18:00:53.452000Z",
  "file_hash": "41ec860574bccaaebd9cebdd2b0971e54ee4e757b16337d314ca33e311d35f48",
  "private": false,
  "record": {
    "abstract": "Maxwell\u0027s equations are cast in the form of the Schr\\\"{o}dinger equation.\n  The Lanczos propagation method is used in combination with the fast Fourier\npseudospectral method to solve the initial value problem. As a result, a\ntime-domain, unconditionally stable, and highly efficient numerical algorithm\nis obtained for the propagation and scattering of broad-band electromagnetic\npulses in dispersive and absorbing media. As compared to conventional\nfinite-difference time-domain methods, an important advantage of the proposed\nalgorithm is a dynamical control of accuracy: Variable time steps or variable\ncomputational costs per time step with error control are possible. The method\nis illustrated with numerical simulations of extraordinary transmission and\nreflection in metal and dielectric gratings with rectangular and cylindrical\ngeometry.",
    "arxiv_id": "physics/0410270",
    "authors": [
      "Andrei G. Borisov",
      "Sergei V. Shabanov"
    ],
    "categories": [
      "physics.comp-ph",
      "math.NA",
      "physics.optics"
    ],
    "title": "Electromagnetic Pulse Propagation in Passive Media by the Lanczos Method",
    "url": "https://arxiv.org/abs/physics/0410270"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "676ee0b3-5661-4ad8-bcc6-32fd67bed2b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}