{
  "annotation_id": "a8cc959f-5f5c-4956-abde-68c2c1bcca84",
  "date_created": "2026-03-02T18:00:53.243000Z",
  "date_modified": "2026-03-02T18:00:53.243000Z",
  "file_hash": "835d8b2c97120dce46d0469f0e5611c2c5d296817a9e1ab912cd80119a3a249b",
  "private": false,
  "record": {
    "abstract": "The motion of a relativistic test electron in a free electron laser can be\naltered significantly by an ideal coaxial wiggler field and uniform axial guide\nfield. I have investigated the group I, group II and group III (the new group\nthat, it is found in coaxial wiggler) orbits and finally have found that those\ngroups become chaotic at sufficiently high beam density and at sufficiently\nhigh amplitude of wiggler field. The threshold value of the wiggler amplitude\nfor the onset of chaos is estimated analytically and confirmed by computer\nsimulation for spatial case where self-field effects are negligibly small. It\nis shown that the electron dynamic is nonintegrable. There is evidence for\nchaos from numerical calculations of Poincare maps and nonzero Lyaponov\nexponents using different approaches of Benetin\u0027s method which are described\nand compared. Moreover, it is shown that the particle motion becomes chaotic on\na time scale comparable with the beam transit time through a few wiggler\nperiods.",
    "arxiv_id": "physics/0411035",
    "authors": [
      "B. Farokhi",
      "S. Mobarakabadi"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "title": "Chaotic particle dynamics in free-electron lasers with coaxial wiggler",
    "url": "https://arxiv.org/abs/physics/0411035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7eda66b4-9a37-4e85-a894-a4dc74a7c7d7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}