{
  "annotation_id": "51592e3c-7d81-4290-8d5b-5f3e3c408201",
  "date_created": "2026-03-02T18:00:47.011000Z",
  "date_modified": "2026-03-02T18:00:47.011000Z",
  "file_hash": "3619a923c646a972b5ed20d0bcc9a9e597f1e9a0216da398acc623c260f5e45f",
  "private": false,
  "record": {
    "abstract": "The 3-dimensional coherence matrix is interpreted by emphasising its\ninvariance with respect to spatial rotations. Under these transformations, it\nnaturally decomposes into a real symmetric positive definite matrix,\ninterpreted as the moment of inertia of the ensemble (and the corresponding\nellipsoid), and a real axial vector, corresponding to the mean angular momentum\nof the ensemble. This vector and tensor are related by several inequalities,\nand the interpretation is compared to those in which unitary invariants of the\ncoherence matrix are studied.",
    "arxiv_id": "physics/0309019",
    "authors": [
      "M. R. Dennis"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1088/1464-4258/6/3/005",
    "journal_ref": "J. Opt. A: Pure Appl. Opt. 6 (2004) S26-S31",
    "title": "Geometric interpretation of the 3-dimensional coherence matrix for   nonparaxial polarization",
    "url": "https://arxiv.org/abs/physics/0309019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2fd86be-3a2c-4e5c-886b-5793e1937ee1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}