{
  "annotation_id": "d2147519-94c2-4c1c-97ea-9885323980f5",
  "date_created": "2026-03-02T18:00:42.789000Z",
  "date_modified": "2026-03-02T18:00:42.789000Z",
  "file_hash": "7a21996c8214b442984c562c8ce71051b003bf45cc61ef8c0825e55ce2a7b3a4",
  "private": false,
  "record": {
    "abstract": "The effect of the Kerr nonlinearity on linear non-diffractive Bessel beams is\ninvestigated analytically and numerically using the nonlinear Schr\\\"odinger\nequation. The nonlinearity is shown to primarily affect the central parts of\nthe Bessel beam, giving rise to radial compression or decompression depending\non whether the nonlinearity is focusing or defocusing, respectively. The\ndynamical properties of Gaussian-truncated Bessel beams are also analysed in\nthe presence of a Kerr nonlinearity. It is found that although a condition for\nwidth balance in the root-mean-square sense exists, the beam profile becomes\nstrongly deformed during propagation and may exhibit the phenomena of global\nand partial collapse.",
    "arxiv_id": "physics/0305085",
    "authors": [
      "Pontus Johannisson",
      "Dan Anderson",
      "Mietek Lisak",
      "Mattias Marklund"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1016/S0030-4018(03)01603-1",
    "journal_ref": "Optics Comm. 222 (2003) 107-115",
    "title": "Nonlinear Bessel beams",
    "url": "https://arxiv.org/abs/physics/0305085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "508b1433-2d1e-4e74-89ac-02c1d9fe222d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}