{
  "annotation_id": "ec470019-2102-4a28-8cb7-642a43da8ab9",
  "date_created": "2026-03-02T18:00:42.154000Z",
  "date_modified": "2026-03-02T18:00:42.154000Z",
  "file_hash": "3f6e986cfc75b92cdd2662ca82d452443983025f1df41c26afcbb766f91b6dde",
  "private": false,
  "record": {
    "abstract": "An analytical model is presented for a rectangular lattice of isotropic\nscatterers with electric and magnetic resonances. Each isotropic scatterer is\nformed by putting appropriately 6 $\\Omega$-shaped perfectly conducting\nparticles on the faces of a cubic unit cell. A self-consistent dispersion\nequation is derived and then used to calculate correctly the effective\npermittivity and permeability in the frequency band where the lattice can be\nhomogenized. The frequency range in which both the effective permittivity and\npermeability are negative corresponds to the mini-band of backward waves within\nthe resonant band of the individual isotropic scatterer.",
    "arxiv_id": "physics/0210049",
    "authors": [
      "Constantin R. Simovski",
      "Sailing He"
    ],
    "categories": [
      "physics.optics",
      "physics.gen-ph"
    ],
    "doi": "10.1016/S0375-9601(03)00494-8",
    "title": "Frequency range and explicit expressions for negative permittivity and   permeability for an isotropic medium formed by a lattice of perfectly   conducting $\\Omega$ particles",
    "url": "https://arxiv.org/abs/physics/0210049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6705329-52ec-4df9-9ee1-6beca81ff665",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}