{ "id": "math-ph/0302003", "version": "v2", "published": "2003-02-02T01:15:55.000Z", "updated": "2003-07-28T12:29:03.000Z", "title": "Analytical calculation of the solid angle defined by a cylindrical detector and a point cosine source with parallel axes", "authors": [ "M. J. Prata" ], "comment": "14 pages, 7 figures, Latex. Changes in version 2, which was accepted for publication: references added, two new sections (2.3 and 2.4) included. A discussion on the interplay between numerical and analytical methods was added to the introduction. No errors were found in the prior version", "journal": "Radiat. Phys. Chem. (2004) 69, 273-279.", "doi": "10.1016/S0969-806X(03)00474-2", "categories": [ "math-ph", "math.MP", "physics.ins-det" ], "abstract": "We derive analytical expressions for the solid angle subtended by a right finite circular cylinder at a point source with cosine angular distribution in the case where the source direction is parallel to the cylinder axis. As a subsidiary result, an expression for the solid angle subtended by a disc detector at a spread disc source is also provided, in the case where the two discs have a common symmetry axis which is also coincident with the source direction.", "revisions": [ { "version": "v2", "updated": "2003-07-28T12:29:03.000Z" } ], "analyses": { "keywords": [ "point cosine source", "solid angle", "parallel axes", "cylindrical detector", "analytical calculation" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }