{
  "annotation_id": "392e874d-43bb-471b-952b-999e18a16676",
  "date_created": "2026-03-02T18:01:10.853000Z",
  "date_modified": "2026-03-02T18:01:10.853000Z",
  "file_hash": "4bfe73e611cc1d3116da71519ac6c6d5fb1bd2bc798947f6182e3f3ab7d52779",
  "private": false,
  "record": {
    "abstract": "We demonstrate the Fourier relationship between angular position and angular\nmomentum for a light mode. In particular we measure the distribution of orbital\nangular momentum states of light that has passed through an aperture and verify\nthat the orbital angular momentum distribution is given by the complex\nFourier-transform of the aperture function. We use spatial light modulators,\nconfigured as diffractive optical components, to define the initial orbital\nangular momentum state of the beam, set the defining aperture, and measure the\nangular momentum spread of the resulting beam. These measurements clearly\nconfirm the Fourier relationship between angular momentum and angular position,\neven at light intensities corresponding to the single photon level.",
    "arxiv_id": "physics/0606142",
    "authors": [
      "Eric Yao",
      "Sonja Franke-Arnold",
      "Johannes Courtial",
      "Stephen Barnett",
      "Miles Padgett"
    ],
    "categories": [
      "physics.optics",
      "physics.gen-ph"
    ],
    "doi": "10.1364/OE.14.009071",
    "title": "Fourier relationship between angular position and optical orbital   angular momentum",
    "url": "https://arxiv.org/abs/physics/0606142"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a82339c-9e75-4664-9303-5d291ac4fd1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}