arXiv Analytics

Sign in

arXiv:math-ph/0302003AbstractReferencesReviewsResources

Analytical calculation of the solid angle defined by a cylindrical detector and a point cosine source with parallel axes

M. J. Prata

Published 2003-02-02, updated 2003-07-28Version 2

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.

Comments: 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.
Related articles: Most relevant | Search more
arXiv:math-ph/0209065 (Published 2002-09-30, updated 2003-02-02)
Analytical calculation of the solid angle defined by a cylindrical detector and a point cosine source with orthogonal axes
arXiv:math-ph/0305034 (Published 2003-05-15, updated 2003-08-07)
Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source
arXiv:math-ph/0211061 (Published 2002-11-24, updated 2003-02-02)
Solid angle subtended by a cylindrical detector at a point source in terms of elliptic integrals