{
  "annotation_id": "a684d14e-e2bb-4566-9bc9-1d7bead7f748",
  "date_created": "2026-03-02T18:00:36.297000Z",
  "date_modified": "2026-03-02T18:00:36.297000Z",
  "file_hash": "0f263545d24ff60cc93dfbd86d38985e23c28481d6c7e6a9e42eb63d9a709d2a",
  "private": false,
  "record": {
    "abstract": "The distribution of radiation is investigated for the modeless laser having a\nmultilobe mirror with the lobes (planes) inclined by small angles to optical\naxis. It is shown that change of the direction resulting from many passages of\na ray through the optical system including a multilobe mirror may be described\nas Brownian walk of a point along the plane or equivalently as a solution of\nthe two-dimensional diffusion equation. Boundary conditions for the diffusion\nequation may be approximately formulated as null conditions at some angle\nwhich, if being reached during the walk, guarantees that the ray escape from\nthe optical system. In the framework of this approximation an explicit formula\nfor the distribution of the outgoing ray in different angles is derived. After\nmany passages through the optical system the angular distribution tends to some\nuniversal function. In the case of the round mirror it may be presented by the\nBessel function of order zero.",
    "arxiv_id": "physics/0108037",
    "authors": [
      "Michael B. Mensky",
      "Alexander V. Yurkin"
    ],
    "categories": [
      "physics.optics",
      "physics.ins-det"
    ],
    "title": "The `diffusion\u0027 of light and angular distribution in the laser equipped   with a multilobe mirror",
    "url": "https://arxiv.org/abs/physics/0108037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "56fd1a58-787a-4747-b821-e7e6bd56defc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}