{
  "annotation_id": "56c5c459-c885-461b-9137-9adaea8f757f",
  "date_created": "2026-03-02T18:01:21.481000Z",
  "date_modified": "2026-03-02T18:01:21.481000Z",
  "file_hash": "f095cd7d5b325b5ba2a392e98814b253736d5eb2bfbf0647ef893036441bb70a",
  "private": false,
  "record": {
    "abstract": "In this paper we extend for the case of Maxwell equations the \"X-shaped\"\nsolutions previously found in the case of scalar (e.g., acoustic) wave\nequations. Such solutions are localized in theory, i.e., diffraction-free and\nparticle-like (wavelets), in that they maintain their shape as they propagate.\nIn the electromagnetic case they are particularly interesting, since they are\nexpected to be Superluminal. We address also the problem of their practical,\napproximate production by finite (dynamic) radiators. Finally, we discuss the\nappearance of the X-shaped solutions from the purely geometric point of view of\nthe Special Relativity theory.\n  [PACS nos.: 03.50.De; 1.20.Jb; 03.30.+p; 03.40.Kf; 14.80.-j.\n  Keywords: X-shaped waves; localized solutions to Maxwell equations;\nSuperluminal waves; Bessel beams; Limited-dispersion beams; electromagnetic\nwavelets; Special Relativity; Extended Relativity].",
    "arxiv_id": "physics/9712051",
    "authors": [
      "Erasmo Recami"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1016/S0378-4371(97)00686-9",
    "journal_ref": "Physica A 252 (1998) 586-610",
    "title": "On Localized \"X-shaped\" Superluminal Solutions to Maxwell Equations",
    "url": "https://arxiv.org/abs/physics/9712051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "da42ae8b-af39-49ef-858b-4b6560e92145",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}