{
  "annotation_id": "ee6d7206-52af-4861-b63a-92f3a3059994",
  "date_created": "2026-03-02T18:01:11.397000Z",
  "date_modified": "2026-03-02T18:01:11.397000Z",
  "file_hash": "104fcb48e06f0366a56289a26501329b23a5d2e420db05bdd0585064e91d1f77",
  "private": false,
  "record": {
    "abstract": "Propagation of sound beam diffracted from a circular aperture in far-field\nregion has been studied in this paper by the method of angular spectrum\nrepresentation and stationary phase method. This nonparaxial theory is useful\nwhen beam angle is not very small and the wavelength $\\lambda $ is comparable\nto aperture diameter $a$ unlike the situation in paraxial approximation. Here\nwe have studied two cases, one for a Gaussian source and other for a plane\npiston source.",
    "arxiv_id": "physics/0607251",
    "authors": [
      "Manas Kumar Roy"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "Sound beam through a circular aperture and the far-field nonparaxial   regime",
    "url": "https://arxiv.org/abs/physics/0607251"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "05cd1334-41a9-419a-a34a-701871f1a53c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}