{
  "annotation_id": "ad35298f-73a5-4142-84ae-517b617749d1",
  "date_created": "2026-03-02T18:00:53.409000Z",
  "date_modified": "2026-03-02T18:00:53.409000Z",
  "file_hash": "7c8c3c36f2cbef8f1e59be069b44b8aa344bdd83ac32db9df32276ace0c7781c",
  "private": false,
  "record": {
    "abstract": "The optimization of an optical system benefits greatly from a study of its\naberrations and an identification of each of its elements\u0027 contribution to the\noverall aberration figures. The matrix formalism developed by one of the\nauthors was the object of a previous paper and allows the expression of\nimage-space coordinates as high-order polynomials of object-space coordinates.\nIn this paper we approach the question of aberrations, both through the\nevaluation of the wavefront evolution along the system and its departure from\nthe ideal spherical shape and the use of ray density plots. Using seventh-order\nmatrix modeling, we can calculate the optical path between any two points of a\nray as it travels along the optical system and we define the wavefront as the\nlocus of the points with any given optical path; the results are presented on\nthe form of traces of the wavefront on the tangential plane, although the\nformalism would also permit sagital plane plots. Ray density plots are obtained\nby actual derivation of the seventh-order polynomials.",
    "arxiv_id": "physics/0410055",
    "authors": [
      "Jose B. Almeida"
    ],
    "categories": [
      "physics.gen-ph",
      "physics.optics"
    ],
    "doi": "10.1016/j.ijleo.2005.01.020",
    "journal_ref": "Optik, 116(5), pp. 195-200 (2005)",
    "title": "Wavefront and ray-density plots using seventh-order matrices",
    "url": "https://arxiv.org/abs/physics/0410055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "92effe0e-1a2c-4fc5-aabc-907a632197a4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}