{
  "annotation_id": "c0db4811-d15d-4aba-b5ac-de1211184c6e",
  "date_created": "2026-03-02T18:01:18.549000Z",
  "date_modified": "2026-03-02T18:01:18.549000Z",
  "file_hash": "c0aac503ccb78a45f7509db269d5ccbc17f898a3e870d66611f642dc0fda0bbe",
  "private": false,
  "record": {
    "abstract": "It is shown that the two-by-two Jones-matrix formalism for polarization\noptics is a six-parameter two-by-two representation of the Lorentz group. The\nattenuation and phase-shift filters are represented respectively by the\nthree-parameter rotation subgroup and the three-parameter Lorentz group for two\nspatial and one time dimensions. It is noted that the Lorentz group has another\nthree-parameter subgroup which is like the two-dimensional Euclidean group.\nPossible optical filters having this Euclidean symmetry are discussed in\ndetail. It is shown also that the Jones-matrix formalism can be extended to\nsome of the non-orthogonal polarization coordinate systems within the framework\nof the Lorentz-group representation.",
    "arxiv_id": "physics/9703032",
    "authors": [
      "D. Han",
      "Y. S. Kim",
      "Marilyn E. Noz"
    ],
    "categories": [
      "physics.optics",
      "cond-mat",
      "hep-th"
    ],
    "doi": "10.1364/JOSAA.14.002290",
    "title": "Jones-matrix Formalism as a Representation of the Lorentz Group",
    "url": "https://arxiv.org/abs/physics/9703032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "45317041-d05e-446a-adce-f82c845031cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}