{
  "annotation_id": "d5404a53-1674-4f4d-8787-1a7d873a4c70",
  "date_created": "2026-03-02T18:00:57.106000Z",
  "date_modified": "2026-03-02T18:00:57.106000Z",
  "file_hash": "254034faf06effcceee864d59e46bcf0f949a4e7e3c571197c004146e934e64c",
  "private": false,
  "record": {
    "abstract": "The open nonlinear electrodynamic system - nonlinear transverse\nnon-homogeneous dielectric layer, is an example of inorganic system having the\nproperties of self-organization, peculiar to biological systems. The necessary\nprecondition of effects of self-organization is the presence of a flow of\nenergy acting in system from an external source, due to which the system gets\nability to independent formation of structures. On an example of the transverse\nnon-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a\nKerr-like dielectric nonlinearity) dielectric layer the constructive approach\nof the analysis of amplitudes-phases dispersion of eigen oscillation-wave\nfields of nonlinear object are shown. The norm of an eigen field is defined\nfrom the solution of a diffraction problem of plane waves or excitation of\npoint or compact source of a nonlinear layer.",
    "arxiv_id": "physics/0503089",
    "authors": [
      "V. V. Yatsyk"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.optics"
    ],
    "title": "Diffraction Problem and Amplitudes-Phases Dispersion of Eigen Fields of   a Nonlinear Dielectric Layer",
    "url": "https://arxiv.org/abs/physics/0503089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6560f39-313b-4678-aaa2-425bbf1fff1c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}