{
  "annotation_id": "a7d16eec-a83c-483a-a54d-d8bacab81105",
  "date_created": "2026-03-02T18:00:35.939000Z",
  "date_modified": "2026-03-02T18:00:35.939000Z",
  "file_hash": "0c4e9a7957da3bdd4ff0fff5984996eec420578a85bf41aa19a5afa3d8015e01",
  "private": false,
  "record": {
    "abstract": "There are many two-by-two matrices in layer optics. It is shown that they can\nbe formulated in terms of a three-parameter group whose algebraic property is\nthe same as the group of Lorentz transformations in a space with two space-like\nand one time-like dimensions, or the $Sp(2)$ group which is a standard\ntheoretical tool in optics. Among the interesting mathematical properties of\nthis group, the Iwasawa decomposition drastically simplifies the matrix algebra\nunder certain conditions, and leads to a concise expression for the S-matrix\nfor transmitted and reflected rays. It is shown that the Iwasawa effect can be\nobserved in multi-layer optics, and a sample calculation of the S-matrix is\ngiven.",
    "arxiv_id": "physics/0103096",
    "authors": [
      "Elena Georgieva",
      "Y. S. Kim"
    ],
    "categories": [
      "physics.optics",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevE.64.026602",
    "title": "Iwasawa Effects in Multi-layer Optics",
    "url": "https://arxiv.org/abs/physics/0103096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f8e108e9-3099-4bca-864b-45828700d1ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}