{
  "annotation_id": "f9f66dfd-66f8-4620-879d-9139860e36c7",
  "date_created": "2026-03-02T18:01:14.679000Z",
  "date_modified": "2026-03-02T18:01:14.679000Z",
  "file_hash": "1f4a93e857fbee7f108d1ce1c12b7fa08c04c40a62af1e4549f7e12198670fe0",
  "private": false,
  "record": {
    "abstract": "Two-frequency radiative transfer (2f-RT) theory is developed for classical\nwaves in random media. Depending on the ratio of the wavelength to the scale of\nmedium fluctuation 2f-RT equation is either a Boltzmann-like integral equation\nwith a complex-valued kernel or a Fokker-Planck-like differential equation with\ncomplex-valued coefficients in the phase space. The 2f-RT equation is used to\nestimate three physical parameters: the spatial spread, the coherence length\nand the coherence bandwidth (Thouless frequency). A closed form solution is\ngiven for the boundary layer behavior of geometrical radiative transfer and\nshows highly nontrivial dependence of mutual coherence on the spatial\ndisplacement and frequency difference. It is shown that the paraxial form of\n2f-RT arises naturally in anisotropic media which fluctuate slowly in the\nlongitudinal direction.",
    "arxiv_id": "physics/0610130",
    "authors": [
      "Albert C. Fannjiang"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1364/JOSAA.24.002248",
    "journal_ref": "Journal of Optical Society of America A Vol. 24, No. 8/August 2007",
    "title": "Two-Frequency Radiative Transfer and Asymptotic Solution",
    "url": "https://arxiv.org/abs/physics/0610130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8bc47483-df81-43a5-9a30-f3b7c80e1aed",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}