{
  "annotation_id": "a86dab15-ec99-4db3-896e-3b6f2430d53b",
  "date_created": "2026-03-02T18:00:36.388000Z",
  "date_modified": "2026-03-02T18:00:36.388000Z",
  "file_hash": "a0e616eb99cae221057ba777842cd2480a3392e7be586eed6885084dd174a930",
  "private": false,
  "record": {
    "abstract": "Abel Inversion is currently used in laser-plasma studies in order to estimate\nthe electronic density $n_e$ from the phase-shift map $\\delta \\phi$ obtained\nvia interferometry. The main limitation of the Abel method is due to the\nassumption of axial symmetry of the electronic density, which is often hardly\nfulfilled. In this paper we present an improvement to the Abel inversion\ntechnique in which the axial symmetry condition is relaxed by means of a\ntruncated Legendre Polinomial expansion in the azimutal angle. With the help of\nsimulated interferograms, we will show that the generalized Abel inversion\ngenerates accurate densities maps when applied to non axisymmetric density\nsources.",
    "arxiv_id": "physics/0111139",
    "authors": [
      "P. Tomassini",
      "A. Giulietti"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.data-an"
    ],
    "doi": "10.1016/S0030-4018(01)01575-9",
    "journal_ref": "Optics Comm. 109, pp. 143-148 (2001)",
    "title": "A Generalization of Abel Inversion to non axisymmetric density   distribution",
    "url": "https://arxiv.org/abs/physics/0111139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "349eff49-e147-4b60-b195-dc1ad284cd34",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}