{
  "annotation_id": "f0a62bb2-d211-4596-aa10-20608bfa3d4d",
  "date_created": "2026-03-02T18:00:36.269000Z",
  "date_modified": "2026-03-02T18:00:36.269000Z",
  "file_hash": "9e7b7e960ee36f8496587059f5486e83edc19e534cf1d296354c79e236c08484",
  "private": false,
  "record": {
    "abstract": "We reelaborate on the basic properties of lossless multilayers. We show that\nthe transfer matrices for these multilayers have essentially the same algebraic\nproperties as the Lorentz group SO(2,1) in a (2+1)-dimensional spacetime, as\nwell as the group SL(2,R) underlying the structure of the ABCD law in\ngeometrical optics. By resorting to the Iwasawa decomposition, we represent the\naction of any multilayer as the product of three matrices of simple\ninterpretation. This group-theoretical structure allows us to introduce\nbilinear transformations in the complex plane. The concept of multilayer\ntransfer function naturally emerges and its corresponding properties in the\nunit disc are studied. We show that the Iwasawa decomposition reflects at this\ngeometrical level in three simple actions that can be considered the basic\npieces for a deeper undestanding of the multilayer behavior. We use the method\nto analyze in detail a simple practical example.",
    "arxiv_id": "physics/0104050",
    "authors": [
      "T. Yonte",
      "J. J. Monzon",
      "L. L. Sanchez-Soto",
      "J. F. Carinena",
      "C. Lopez-Lacasta"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1364/JOSAA.19.000603",
    "title": "Understanding multilayers from a geometrical viewpoint",
    "url": "https://arxiv.org/abs/physics/0104050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3813b62-1117-472d-b57a-a22b5ae69e3e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}