Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source
We derive analytical expressions for the solid angle subtended by a circular disc at a point source with cosine angular distribution ( f( μ)= μ/ π) under the sole condition that the disc lies in the half-space illuminated by the source ( μ⩾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.
Nuclear Instruments and Methods in Physics Research A
- Pub Date:
- April 2004
- Mathematical Physics;
- Physics - Instrumentation and Detectors
- 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.."