{
  "annotation_id": "3ed6e819-9fb9-4f94-b0c6-cf2f6083f6e8",
  "date_created": "2026-03-02T18:01:06.958000Z",
  "date_modified": "2026-03-02T18:01:06.958000Z",
  "file_hash": "dd235e63eb98e38aa92858792f08dbdbe1a1fd05a976f2e75b108f20f04549ab",
  "private": false,
  "record": {
    "abstract": "A composite material comprising randomly distributed spherical particles of\ntwo different isotropic dielectric-magnetic materials is homogenized using the\nsecond-order strong-property-fluctuation theory in the long-wavelength\napproximation. Whereas neither of the two constituent materials by itself\nsupports planewave propagation with negative phase velocity (NPV), the\nhomogenized composite material (HCM) can. The propensity of the HCM to support\nNPV propagation is sensitive to the distributional statistics of the\nconstituent material particles, as characterized by a two--point covariance\nfunction and its associated correlation length. The scope for NPV propagation\ndiminishes as the correlation length increases.",
    "arxiv_id": "physics/0605166",
    "authors": [
      "Tom G. Mackay",
      "Akhlesh Lakhtakia"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1063/1.2349558",
    "journal_ref": "Journal of Applied Physics 100, 063533 (2006)",
    "title": "Correlation length and negative phase velocity in isotropic   dielectric-magnetic materials",
    "url": "https://arxiv.org/abs/physics/0605166"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "28947f8f-10ba-4580-9b59-50019af03aa0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}