{
  "id": "1212.6068",
  "version": "v1",
  "published": "2012-12-25T17:35:40.000Z",
  "updated": "2012-12-25T17:35:40.000Z",
  "title": "Boundary conditions for matrix of variations in refractive waveguides with rough bottom",
  "authors": [
    "I. P. Smirnov"
  ],
  "comment": "6 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.NA",
    "physics.ao-ph"
  ],
  "abstract": "The solution of the Helmholtz equation in optical semiclassic approximation is associated with the calculation of ray paths and matrices of variations. The transformation rules for elements of matrices on the boundaries of the waveguide are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-25T17:35:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "86-08"
    ],
    "keywords": [
      "boundary conditions",
      "refractive waveguides",
      "variations",
      "helmholtz equation",
      "ray paths"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6068S"
    }
  }
}