{
  "id": "math-ph/0305034",
  "version": "v2",
  "published": "2003-05-15T21:11:53.000Z",
  "updated": "2003-08-07T15:08:22.000Z",
  "title": "Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source",
  "authors": [
    "M. J. Prata"
  ],
  "comment": "12 pages, 10 figures, LaTex12 pages, 10 figures, LaTex. Minor changes from previous version: references added, english reshaping, the phrase \"If beta=0..\" (pag. 5 near eq. 20 in the old version) was corrected to \"If beta=pi/2..\"",
  "journal": "Nucl. Instr. and Meth. (2004), A521, 576-585.",
  "doi": "10.1016/j.nima.2003.10.098",
  "categories": [
    "math-ph",
    "math.MP",
    "physics.ins-det"
  ],
  "abstract": "We derive analytical expressions for the solid angle subtended by a circular disc at a point source with cosine angular distribution ($f(\\mu)=\\mu/\\pi$)under the sole condition that the disc lies in the half-space illuminated by the source ($\\mu \\geq 0$). The expressions are given with reference to two alternative coordinate systems (S and S'), S being such that the z axis is parallel to the symmetry axis of the disc and S' such that the $z'$ axis is aligned with the source direction. Sample plots of the expressions are presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-08-07T15:08:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "solid angle",
      "circular disc detector",
      "point cosine source",
      "analytical calculation",
      "expressions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}