{
  "annotation_id": "54fabdb1-06f6-4755-ab2d-38981e1d117f",
  "date_created": "2026-03-02T18:01:14.466000Z",
  "date_modified": "2026-03-02T18:01:14.466000Z",
  "file_hash": "b43bdc3a0ca955c823ad68b339be1c74f128c2463d73c96c6a207665fe08144e",
  "private": false,
  "record": {
    "abstract": "In this paper we present a complete linear synchrobetatron coupling formalism\nby studying the transfer matrix which describes linear horizontal and\nlongitudinal motions. With the technique established in the linear\nhorizontal-vertical coupling study [D. Sagan and D. Rubin, Phys. Rev. ST Accel.\nBeams {\\bf 2}, 074001 (1999)], we found a transformation to block diagonalize\nthe transfer matrix and decouple the betatron motion and the synchrotron\nmotion. By separating the usual dispersion term from the horizontal coordinate\nfirst, we were able to obtain analytic expressions of the transformation under\nreasonable approximations. We also obtained the perturbations to the betatron\ntune and the Courant-Snyder functions. The closed orbit changes due to finite\nenergy gains at rf cavities and radiation energy losses were also studied by\nthe 5$\\times$5 extended transfer matrix with the fifth column describing kicks\nin the 4-dimension phase space.",
    "arxiv_id": "physics/0610015",
    "authors": [
      "Xiaobiao Huang"
    ],
    "categories": [
      "physics.atm-clus",
      "physics.acc-ph"
    ],
    "doi": "10.1103/PhysRevSTAB.10.014002",
    "title": "Matrix formalism of synchrobetatron coupling",
    "url": "https://arxiv.org/abs/physics/0610015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23e5c644-08e8-47ce-91bb-9c3c3541807a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}