{
  "annotation_id": "df21f30d-4019-4eb0-a083-58bcfb12ad82",
  "date_created": "2026-03-02T18:00:53.420000Z",
  "date_modified": "2026-03-02T18:00:53.420000Z",
  "file_hash": "2d64dee434eb893f93773c6fdd500770332d1623c5f99a9cabbad71cb5f9c763",
  "private": false,
  "record": {
    "abstract": "Application of Karhunen-Loeve decomposition (KLD, or singular value\ndecomposition) is presented for analysis of the spatio-temporal dynamics of\nwide-aperture vertical cavity surface emitting laser (VCSEL), considered as a\nthin-layer system. KLD technique enables to extract a set of dominant\ncomponents from complex dynamics of system under study and separate them from\nnoise and inessential underlying dynamical behavior. Properties of KLD spectrum\nand structure of its main components are studied for different regimes of\nVCSEL. Along with the analysis of VCSEL, a brief survey of KLD method and its\nusage for theoretical and experimental description of nonlinear dynamical\nsystems is presented.",
    "arxiv_id": "physics/0410069",
    "authors": [
      "M. U. Karelin",
      "P. V. Paulau",
      "I. V. Babushkin"
    ],
    "categories": [
      "physics.optics",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "title": "Karhunen-Loeve analysis of complex spatio-temporal dynamics of   thin-films optical system",
    "url": "https://arxiv.org/abs/physics/0410069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9fa0b9c8-4a63-4a9a-a087-d94f98b5b52b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}