{
  "annotation_id": "d5e5f699-a138-48bf-87c9-75a9e37b5204",
  "date_created": "2026-03-02T18:01:00.819000Z",
  "date_modified": "2026-03-02T18:01:00.819000Z",
  "file_hash": "dfd6cc58657f66c15ad7b8504959cc900364a492a4aaaae014f3a39ece9c1d41",
  "private": false,
  "record": {
    "abstract": "We study the impedance spectra of woodwind instruments with arbitrary\naxisymmetric geometry. We perform piecewise interpolations of the instruments\u0027\nprofile, using interpolating functions amenable to analytic solutions of the\nWebster equation. Our algorithm optimizes on the choice of such functions,\nwhile ensuring compatibility of wavefronts at the joining points. Employing a\nstandard mathematical model of a single-reed mouthpiece as well as the\ntime-domain reflection function, which we derive from our impedance results, we\nsolve the Schumacher equation for the pressure evolution in time. We make\nanalytic checks that, despite the nonlinearity in the reed model and in the\nevolution equation, solutions are unique and singularity-free.",
    "arxiv_id": "physics/0509055",
    "authors": [
      "A. Skouroupathis",
      "H. Panagopoulos"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1121/1.4787634",
    "journal_ref": "Acta Acustica united with Acustica, Vol. 91 (2005), supp/1",
    "title": "Optimized interpolations and nonlinearity in numerical studies of   woodwind instruments",
    "url": "https://arxiv.org/abs/physics/0509055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8f45454d-6125-4e14-8895-69bf271f3c7a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}